References

W. O. Criminale; T. L. Jackson; R. D. Joslin

Acheson, D.J. (1990). Elementary Fluid Dynamics. Oxford University Press.Google Scholar

Ames, W.F. (1977). Numerical Methods for Partial Differential Equations. Academic Press.Google Scholar

Anders, S. & Fischer, M. (1999). F-16XL-2 supersonic laminar flow control flight test experiment. NASA TP-1999–209683.Google Scholar

Arnal, D. (1994). Boundary layer transition: Predictions based on linear theory. AGARD-R-793.Google Scholar

Arnal, D., Habiballah, M. & Coustols, E. (1984). Laminar instability theory and transition criteria in two- and three-dimensional flow. La Recherche Aérospatiale 1984–2.Google Scholar

Arnal, D., Casalis, G. & Juillen, J.C. (1990). Experimental and theoretical analysis of natural transition on infinite swept wing. In IUTAM Symposium on Laminar– Turbulent Transition, Arnal, D. & Michel, R. (eds). Springer, 311–326.Google Scholar

Arnal, D., Juillen, J.C. & Casalis, G. (1991). The effects of wall suction on laminar– turbulent transition in three-dimensional flow. ASME FED 114, 155–162.Google Scholar

Artola, M. & Majda, A.J. (1987). Nonlinear development of instabilities in supersonic vortex sheets. Physica D 28, 253–281.CrossRef Google Scholar

Ashpis, D.E. & Erlebacher, G. (1990). On the continuous spectra of the compressible boundary layer stability equations. In Instability and Transition II, Hussaini, M.Y. & Voigt, R.G. (eds). Springer, 145–159.Google Scholar

Baek, P. & Fuglsang, P. (2009). Experimental detection of transition on wind turbine airfoils. European Wind Energy Conference, March, 16–19, 2009.Google Scholar

Balachandar, S., Streett, C.L. & Malik, M.R. (1990). Secondary instability in rotating disk flows. AIAA Paper 90–1527.Google Scholar

Balakumar, P. & Malik, M.R. (1992). Discrete modes and continuous spectra in supersonic boundary layers. J. Fluid Mech. 239, 631–656.Google Scholar

Balsa, T.F. & Goldstein, M.E. (1990). On the instabilities of supersonic mixing layers: A high Mach number asymptotic theory. J. Fluid Mech. 216, 585–611.Google Scholar

Banks, D.W., van Dam, C.P., Shiu, H.J. & Miller, G.M. (2000). Visualization of in-flight flow phenomena using infrared thermography. NASA TM-2000–209027.Google Scholar

Barston, F.M. (1980). A circle theorem for inviscid steady flows. Int. J. Eng. Sci. 18, 477–489.CrossRef Google Scholar

Batchelor, G.K. (1964). Axial flow in trailing line vortices. J. Fluid Mech. 20, 645–658.CrossRef Google Scholar

Batchelor, G.K. (1967). An Introduction to Fluid Dynamics. Cambridge University Press.Google Scholar

Batchelor, G.K. & Gill, A.E. (1962). Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529–551.CrossRef Google Scholar

Bayly, B.J., Orszag, S.A. & Herbert, T. (1988). Instability mechanisms in shear flow transition. Ann. Rev. Fluid Mech. 20, 359–391.Google Scholar

Benney, D.J. (1961). A non-linear theory for oscillations in a parallel flow. J. Fluid Mech. 10, 209–236.Google Scholar

Benney, D.J. (1964). Finite amplitude effects in an unstable laminar boundary layer. Phys. Fluids 7, 319–326.CrossRef Google Scholar

Benney, D.J. & Lin, C.C. (1960). On the secondary motion induced by oscillations in a shear flow. Phys. Fluids 3(4), 656–657.CrossRef Google Scholar

Benney, D.J. & Gustavsson, L.H. (1981). A new mechanism for linear and nonlinear hydrodynamic instability. Studies in Applied Mathematics 64, 185–209.Google Scholar

Bertolotti, F.P. (1985). Temporal and spatial growth of subharmonic disturbances in Falkner–Skan flows. M.S. Thesis, Virginia Polytechnic Institute and State University.Google Scholar

Bertolotti, F.P. (1992, ). Linear and nonlinear stability of boundary layers with streamwise varying properties. PhD Thesis, The Ohio State University.Google Scholar

Bertolotti, F.P. & Crouch, J.D. (1992). Simulation of boundary layer transition: Receptivity to spike stage. NASA CR-191413.Google Scholar

Bertolotti, F.P. & Joslin, R.D. (1995). The effect of far-field boundary conditions on boundary-layer transition. J. Comput. Phys. 118, May, 392–395.Google Scholar

Bestek, H., Thumm, A. & Fasel, H.F. (1992). Numerical investigation of later stages of transition in transonic boundary layers. First European Forum on Laminar Flow Technology, Hamburg, Germany, March 16–18, 1992.Google Scholar

Betchov, R. & Szewczyk, A. (1963). Stability of a shear layer between parallel streams. Phys. Fluids 6(10), 1391–1396.Google Scholar

Betchov, R. & Criminale, W.O. (1966). Spatial instability of the inviscid jet and wake. Phys. Fluids 9, 359–362.Google Scholar

Betchov, R. & Criminale, W.O. (1967). Stability of Parallel Flows. Academic Press.Google Scholar

Bewley, T, Moin, P. & Temam, R. (1996). A method for optimizing feedback control rules for wall bounded turbulent flows based on control theory. Forum on Control of Transition and Turbulent Flows, ASME Fluids Engineering Conference, San Diego.Google Scholar

Biringen, S. (1984). Active control of transition by periodic suction-blowing. Phys. Fluids 27(6), 1345–1347.Google Scholar

Blackaby, N., Cowley, S.J. & Hall, P. (1993). On the instability of hypersonic flow past a flat plate. J. Fluid Mech. 247, 369–416.Google Scholar

Blasius, H. (1908). Grenzschichten in Flüssigkeiten mit kleiner Reibung. Zeitschrift für Angewandte Mathematik und Physik 56, 1. (Translation: Boundary layers in fluids of small viscosity, NACA TM-1256, Feb. 1950).Google Scholar

Blumen, W. (1970). Shear layer instability of an inviscid compressible fluid. J. Fluid Mech. 40, 769–781.Google Scholar

Blumen, W., Drazin, P.G. & Billings, D.F. (1975). Shear layer instability of an inviscid compressible fluid. Part 2. J. Fluid Mech. 71, 305–316.Google Scholar

Bogdanoff, D.W. (1983). Compressibility effects in turbulent shear layers. AIAA J. 21(6), 926–927.Google Scholar

Borggaard, J., Burkardt, J., Gunzburger, M. & Peterson, J. (1995). Optimal Design and Control. Birkhauser.Google Scholar

Bower, W.W., Kegelman, J.T., Pal, A. & Meyer, G.H. (1987). A numerical study of two-dimensional instability-wave control based on the Orr–Sommerfeld equation. Phys. Fluids 30(4), 998–1004.Google Scholar

Boyce, W.E. & DiPrima, R.C. (1986). Elementary Differential Equations and Boundary Value Problems, 4th edition, John Wiley & Sons.Google Scholar

Breuer, K.S. & Haritonidis, J.H. (1990). The evolution of a localized disturbance in a laminar boundary layer. Part I. Weak disturbances. J. Fluid Mech. 220, 569–594.Google Scholar

Breuer, K.S. & Kuraishi, T. (1994). Transient growth in two- and three-dimensional boundary layers. Phys. Fluids 6, 1983–1993.Google Scholar

Briggs, R.J. (1964). Electron-Stream Interaction with Plasmas. MIT Press.Google Scholar

Brown, W.B. (1959). Numerical calculation of the stability of cross flow profiles in laminar boundary layers on a rotating disc and on a swept back wing and an exact calculation of the stability of the Blasius velocity profile. Northrop Aircraft, Inc., Rep. NAI 59–5.Google Scholar

Brown, W.B. (1961a). A stability criterion for three-dimensional laminar boundary layers. In Boundary Layer and Flow Control, Lachmann, G.V. (ed). Pergamon, Vol. 2, 913–923.Google Scholar

Brown, W.B. (1961b). Exact solution of the stability equations for laminar boundary layers in compressible flow. In Boundary Layer and Flow Control, Lachmann, G.V. (ed). Pergamon, Vol. 2, 1033–1048.Google Scholar

Brown, W.B. (1962). Exact numerical solutions of the complete linearized equations for the stability of compressible boundary layers. Northrop Aircraft Inc., NORAIR Division Rep. NOR–62–15.Google Scholar

Brown, W.B. (1965). Stability of compressible boundary layers including the effects of two-dimensional linear flows and three-dimensional disturbances. Northrop Aircraft Inc., NORAIR Division Rep.Google Scholar

Brown, W.B. & Roshko, A. (1974). On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775–816.Google Scholar

Bun, Y. & Criminale, W.O. (1994). Early period dynamics of an incompressible mixing layer. J. Fluid Mech. 273, 31–82.Google Scholar

Burden, R.L. & Faires, J.D. (1985). Numerical Analysis, 3rd edition. Prindle, Weber & Schmidt.Google Scholar

Bushnell, D.M. (1984). NASA research on viscous drag reduction II. Laminar-Turbulent Boundary Layers 11, 93–98.Google Scholar

Bushnell, D.M., Hefner, J.N. & Ash, R.L. (1977). Effect of compliant wall motion on turbulent boundary layers. Phys. Fluids 20, S31–S48.Google Scholar

Butler, K.M. & Farrell, B.F. (1992). Three dimensional optimal perturbations in viscous shear flow. Phys. Fluids A 4, 1637–1650.Google Scholar

Canuto, C., Hussaini, M.Y., Quarteroni, A. & Zang, T.A. (1988). Spectral Methods in Fluid Dynamics. Springer.Google Scholar

Carpenter, M.H., Gottlieb, D. & Abarbanel, S. (1993). The stability of numerical boundary treatments for compact high-order finite difference schemes. J. Comp. Phys. 108(2), 272–295.Google Scholar

Carpenter, P.W. (1990). Status of transition delay using compliant walls. In Viscous Drag Reduction in Boundary Layers, Bushnell, D.M. & Hefner, J.N. (eds). AIAA, 123, 79–113,Google Scholar

Carpenter, P.W. & Garrad, A.D. (1985). The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien–Schlichting instabilities. J. Fluid Mech.155, 465–510.Google Scholar

Carpenter, P.W. & Garrad, A.D. (1986). The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities. J. Fluid Mech.170, 199–232.Google Scholar

Carpenter, P.W. & Morris, P.J. (1989). Growth of 3-D instabilities in flow over compliant walls. 4th Asian Congress of Fluid Mechanics, Hong Kong.Google Scholar

Carpenter, P.W. & Morris, P.J. (1990). The effects of anisotropic wall compliance on boundary-layer stability and transition. J. Fluid Mech. 218, 171–223.Google Scholar

Case, K.M. (1960a). Stability of inviscid plane Couette flow. Phys. Fluids 3(2), 143–148.Google Scholar

Case, K.M. (1960b). Stability of an idealized atmosphere. I. Discussion of results. Phys. Fluids 3, 149–154.Google Scholar

Case, K.M. (1961). Hydrodynamic stability and the inviscid limit. J. Fluid Mech. 10(3), 420–429.Google Scholar

Cebeci, T. & Stewartson, K. (1980). On stability and transition in three-dimensional flows. AIAA J. 18(4), 398–405.Google Scholar

Chandrasekhar, S. (1981). Hydrodynamic and Hydromagnetic Stability. Dover Publications.Google Scholar

Chang, C.L. & Malik, M.R. (1992 ). Oblique mode breakdown in a supersonic boundary layer using nonlinear PSE. In Instability, Transition, and Turbulence, Hussaini, M.Y., Kumar, A. & Streett, C.L. (eds). Springer, 231–241.Google Scholar

Charney, J.G. (1947). The dynamics of long waves in a baroclinic westerly current. J. Meteor. 4, 135–162.Google Scholar

Chen, J.H., Cantwell, B.J. & Mansour, N.N. (1989). Direct numerical simulation of a plane compressible wake: Stability, vorticity dynamics, and topology. PhD Thesis, Stanford University, Thermosciences Division Report No. TF-46.Google Scholar

Chen, J.H., Cantwell, B.J. & Mansour, N.N. (1990). The effect of Mach number on the stability of a plane supersonic wake. Phys. Fluids A 2, 984–1004.Google Scholar

Chimonas, G. (1970). The extension of the Miles–Howard theorem to compressible fluids. J. Fluid Mech. 43, 833–836.Google Scholar

Chinzei, N., Masuya, G., Komuro, T., Murakami, A. & Kudou, D. (1986). Spreading of two-stream supersonic turbulent mixing layers. Phys. Fluids 29, 1345–1347.Google Scholar

Choi, H., Temam, R., Moin, P. & Kim, J. (1993). Feedback control of unsteady flow and its application to the stochastic Burgers equation. J. Fluid Mech. 253, 509–543.Google Scholar

Choudhari, M. (1994). Roughness induced generation of crossflow vortices in three-dimensional boundary layers. Theor. & Comput. Fluid Dyn. 5, 1–31.Google Scholar

Choudhari, M. & Streett, C.L. (1994). Theoretical prediction of boundary-layer receptivity. 25th AIAA Fluid Dynamics Conf., June 20–23, 1994, AIAA Paper 94–2223.Google Scholar

Clauser, F.H. & Clauser, M.U. (1937). The effect of curvature on the transition from laminar to turbulent boundary layer. NACA TN-613.Google Scholar

Coles, D. (1965). Transition in circular Couette flow. J. Fluid Mech. 21(3), 385–425.Google Scholar

Cooper, A.J. & Carpenter, P.W. (1997). The stability of the rotating-disc boundary layer flow over a compliant wall. Type I and Type II instabilities. J. Fluid Mech. 350, 231–259.CrossRef Google Scholar

Cousteix, J. (1992). Basic concepts on boundary layers. Special Course on Skin Friction Drag Reduction, AGARD-R-786.Google Scholar

Cowley, S.J. & Hall, P. (1990). On the instability of hypersonic flow past a wedge. J. Fluid Mech. 214, 17–42.Google Scholar

Craik, A.D.D. (1971). Nonlinear resonant instability in boundary layers. J. Fluid Mech. 50(2), 393–413.Google Scholar

Craik, A.D.D. & Criminale, W.O. (1986). Evolution of wavelike disturbances in shear flows: A class of exact solutions of the Navier–Stokes equations. Proc. R. Soc. London Ser. A 406(1830), 13–26.Google Scholar

Crawford, B.K., Duncan, G.T., West, D.E. & Saric, W.S. (2013) Laminar-turbulent boundary layer transition imaging using IR thermography. Optics and Photonics J. 3, 233–239.CrossRef Google Scholar

Criminale, W.O. (1960). Three-dimensional laminar instability, AGARD-R-266.Google Scholar

Criminale, W.O. (1991). Initial-value problems and stability in shear flows. Int. Symp. on Nonlinear Problems in Eng. and Sci., Beijing, China, 43–63.Google Scholar

Criminale, W.O. & Kovasznay, L.S.G. (1962). The growth of localized disturbances in a laminar boundary layer. J. Fluid Mech. 14, 59–80.Google Scholar

Criminale, W.O. & Drazin, P.G. (1990). The evolution of linearized perturbations of parallel flows. Studies Appl. Math. 83, 123–157.Google Scholar

Criminale, W.O. & Drazin, P.G. (2000). The initial-value problem for a modeled boundary layer. Phys. Fluids A 12, 366–374.Google Scholar

Criminale, W.O. & Lasseigne, D.G. (2002). Use of multiple scales, multiple time in shear flow stability analysis. Personal notes.Google Scholar

Criminale, W.O., Long, B. & Zhu, M. (1991). General three-dimensional disturbances to inviscid Couette flow. Studies in Appl. Math. 86, 249–267.Google Scholar

Criminale, W.O., Jackson, T.L. & Lasseigne, D.G. (1995). Towards enhancing and delaying disturbances in free shear flows. J. Fluid Mech. 294, 283–300.Google Scholar

Criminale, W.O., Jackson, T.L., Lasseigne, D.G. & Joslin, R.D. (1997). Perturbation dynamics in viscous channel flows. J. Fluid Mech. 339, 55–75.CrossRef Google Scholar

Crouch, J.D. (1994). Receptivity of boundary layers. AIAA Paper 94–2224.Google Scholar

Dagenhart, J.R. & Saric, W.S. (1999). Crossflow stability and transition experiments in a swept wing flow. NASA TP-1999–209344.Google Scholar

Dagenhart, J.R., Saric, W.S., Mousseux, M.C. & Stack, J.P. (1989). Crossflow vortex instability and transition on a 45-degree swept wing. AIAA Paper 89–1892.Google Scholar

Danabasoglu, G., Biringen, S. & Streett, C.L. (1990). Numerical simulation of spatially-evolving instability control in plane channel flow. AIAA Paper 90–1530.Google Scholar

Danabasoglu, G., Biringen, S. & Streett, C.L. (1991). Spatial simulation of instability control by periodic suction blowing. Phys. Fluids A 3(9), 2138–2147.Google Scholar

Davey, A. (1980). On the numerical solution of difficult boundary-value problems. J. Comput. Phys. 35, 36–47.Google Scholar

Davey, A. (1982). A difficult numerical calculation concerning the stability of the Blasius boundary layer. In Stability in the Mechanics of Continua, 2nd Symposium, Nümbrecht, Germany, Aug. 31–Sept. 4, 1981, Schroeder, F.H. (ed). Springer, 365– 372.Google Scholar

Davey, A. & Drazin, P.G. (1969). The stability of Poiseuille flow in a pipe. J. Fluid Mech. 36, 209–218.Google Scholar

Day, M.J., Reynolds, W.C. & Mansour, N.N. (1998a). The structure of the compressible reacting mixing layer: Insights from linear stability analysis. Phys. Fluids 10(4), 993–1007.CrossRef Google Scholar

Day, M.J., Reynolds, W.C. & Mansour, N.N. (1998b). Parameterizing the growth rate influence of the velocity ratio in compressible reacting mixing layers. Phys. Fluids 10(10), 2686–2688.Google Scholar

Dean, W.R. (1928). Fluid motion in a curved channel. Proc. R. Soc. London Ser. A 15, 623–631.Google Scholar

Deardorff, J.W. (1963). On the stability of viscous plane Couette flow. J. Fluid Mech. 15, 623–631.Google Scholar

Demetriades, A. (1958). An experimental investigation of the stability of the hypersonic laminar boundary layer. California Institute of Technology, Guggenheim Aeronautical Laboratory, Hypersonic Research Project, Memo. No. 43.Google Scholar

Dhawan, S. & Narasimha, R. (1958). Some properties of boundary layer flow during transition from laminar to turbulent motion. J. Fluid Mech. 3(4), 418–436.Google Scholar

Dikii, L.A. (1960). On the stability of plane parallel flows of an inhomogeneous fluid. (in Russian) Prikl. i Mekh. 24, 249–257 (Translation: J. Appl. Math. Mech. 24, 357–369).Google Scholar

DiPrima, R.C. (1959). The stability of viscous flow between rotating concentric cylinders with a pressure gradient acting around the cylinders. J. Fluid Mech. 6, 462– 468.Google Scholar

DiPrima, R.C. (1961). Stability of nonrotationally symmetric disturbances for viscous flow between rotating cylinders. Phys. Fluids 4, 751–755.Google Scholar

DiPrima, R.C. & Habetler, G.J. (1969). A completeness theorem for non-selfadjoint eigenvalue problems in hydrodynamic stability. Arch. Rat. Mech. Anal. 34(3), 218–227.Google Scholar

Djordjevic, V.D. & Redekopp, L.G. (1988). Linear stability analysis of nonhomen-tropic, inviscid compressible flows. Phys. Fluids 31(11), 3239–3245.Google Scholar

Drazin, P.G. (1978). Variations on a theme of Eady. In Rotating Fluids in Geophysics, P. H. Roberts & A. M. Soward (eds). 139–169.Google Scholar

Drazin, P.G. & Howard, L.N. (1962). Shear layer instability of an inviscid compressible fluid. Part 2. J. Fluid Mech. 71, 305–316.Google Scholar

Drazin, P.G. & Howard, L.N. (1966). Hydrodynamic stability of parallel flow of inviscid flow. Adv. Appl. Mech. 9, 1–89.Google Scholar

Drazin, P.G. & Davey, A. (1977). Shear layer instability of an inviscid compressible fluid. Part 3. J. Fluid Mech. 82, 255–260.Google Scholar

Drazin, P.G. & Reid, W.H. (1984). Hydrodynamic stability. Cambridge University Press.Google Scholar

Drazin, P.G. & Reid, W.H. (2004). Hydrodynamic stability, 2nd edition. Cambridge University Press.Google Scholar

Duck, P.W. & Foster, M.R. (1980). The inviscid stability of a trailing line vortex. J. App. Math. and Phys. (ZAMP) 31, 524–532.Google Scholar

Duck, P.W. & Khorrami, M.R. (1992). A note on the effects of viscosity on the stability of a trailing-line vortex. J. Fluid Mech. 245, 175–189.Google Scholar

Duck, P.W., Erlebacher, G. & Hussaini, M.Y. (1994). On the linear stability of compressible plane Couette flow. J. Fluid Mech. 258, 131–165.Google Scholar

Dunn, D.W. (1960). Stability of laminar flows. DME/NAE Quarterly Bulletin No. 1960 (3), National Research Council of Canada, Ottawa, Oct., 15–58.Google Scholar

Dunn, D.W. & Lin, C.C. (1955). On the stability of the laminar boundary layer in a compressible fluid. J. Aero. Sci. 22, 455–477.Google Scholar

Eady, E.A. (1949). Long waves and cyclone waves. Tellus 1, 33–52.Google Scholar

Eckhaus, W. (1962a). Problémes non linéaires dan la théorie de la Stabilité. J. de Mecanique 1, 49–77.Google Scholar

Eckhaus, W. (1962b). Problémes non linéaires de stabilité dans un espace a deux dimensions. I. Solutions péridoques. J. de Mecanique 1, 413–438.Google Scholar

Eckhaus, W. (1963). Problémes non linéaires de stabilité dans un espace a deux dimenions. II. Stabilité des solutions périodques. J. de Mecanique 2, 153–172.Google Scholar

Eckhaus, W. (1965). Studies in Non-Linear Stability Theory. Springer.Google Scholar

Ekman, V.W. (1905). On the influence of the Earth’s rotation on ocean currents. Arkiv fŏr Matematik, Astronomi, och Fysik 2(11), 1–53.Google Scholar

Eliassen, A., Høiland, E. & Riis, E. (1953). Two-dimensional perturbations of a flow with constant shear of a stratified fluid. Inst. Weather Climate Res., Oslo, Publ. No. 1., Institute of Theoretical Astrophysics, 58 pgs.Google Scholar

Esch, R.E. (1957). The instability of a shear layer between two parallel streams. J. Fluid Mech. 3, 289–303.Google Scholar

Falco, R.E. (1977). Coherent motions in the outer region of turbulent boundary layers. Phys. Fluids 20(10), 5124.Google Scholar

Faller, A.J. & Kaylor, R.E. (1967). Instability of the Ekman spiral with applications to the planetary boundary layer. Phys. Fluids 10, S212–S219.Google Scholar

Fasel, H. (1976). Investigation of the stability of boundary layers by a finite-difference model of the Navier–Stokes equations. J. Fluid Mech. 78, 355–383.CrossRef Google Scholar

Fasel, H. (1990). Numerical simulation of instability and transition in boundary layer flows. In IUTAM Symposium on Laminar–Turbulent Transition, Arnal, D. & Michel, R. (eds). Springer, 587–597.Google Scholar

Fasel, H. & Thumm, A. (1991). Numerical simulation of three-dimensional boundary layer transition. Bull. Am. Phys. Soc. 36, 2701.Google Scholar

Fedorov, A.V. & Khokhlov, A.P. (1993). Excitation and evolution of unstable disturbances in supersonic boundary layer. In Transitional and Turbulent Compressible Flows. ASME FED, Vol. 151.Google Scholar

Fjørtoft, R. (1950). Application of integral theorems in deriving criteria of stability of laminar flow and for the baroclinic circular vortex. Geofysiske Publikasjoner 17, 1–52.Google Scholar

Floquét, G. (1883). Sur les équations differéntielles linéaires á coefficients périodiques. Annales Scientifiques Ecole Normale Superieure 2(12), 47–89.Google Scholar

Fromm, J.E. & Harlow, F.H., (1963). Numerical solution of the problem of vortex street development. Phys. Fluids 6, 975–982.Google Scholar

Fursikov, A.V., Gunzburger, M. & Hou, L. (1996). Boundary value problems and optimal boundary control of the Navier–Stokes system: The two-dimensional case. SIAM Journal on Control and Optimization 36(3), 852–894.Google Scholar

Gad-el-Hak, M. (2000). Flow Control: Passive, Active, and Reactive Flow Management. Cambridge University Press.Google Scholar

Gad-el-Hak, M., Pollard, A. & Bonnet, J.P. (eds) (1998). Flow Control: Fundamentals and Practices. Springer.Google Scholar

Gaster, M. (1962). A note on the relation between temporally-growing and spatially-growing disturbances in hydrodynamic stability. J. Fluid Mech. 14, 222–224.Google Scholar

Gaster, M. (1965a). The role of spatially growing waves in the theory of hydrodynamic stability. Prog. Aeron. Sci. 6, 251–270.Google Scholar

Gaster, M. (1965b). On the generation of spatially growing waves in a boundary layer. J. Fluid Mech. 22, 433–441.Google Scholar

Gaster, M. (1965c). A simple device for preventing turbulent contamination on swept leading edges. J. R. Aero. Soc. 69, 788–789.Google Scholar

Gaster, M. (1968). Growth of disturbances in both space and time. Phys. Fluids 11(4), 723–727.Google Scholar

Gaster, M. (1974). On the effects of boundary-layer growth on flow stability. J. Fluid Mech. 66, 465–480.Google Scholar

Gaster, M. (1983). The development of a two-dimensional wavepacket in a growing boundary layer. Proc. R. Soc. London Ser. A. 384, 317–332.Google Scholar

Gaster, M. (1988). Is the dolphin a red herring? In Turbulence Management and Relam-inarisation, Liepmann, H.W. and Narasimha, R. (eds). Bangalore: IUTAM, 285– 304.Google Scholar

Gaster, M. & Davey, A. (1968). The development of three dimensional wave packets in unbounded parallel flows. J. Fluid Mech. 32, 801–808.Google Scholar

Gaster, M. & Grant, I. (1975). An experimental investigation of the formation and development of a wave packet in a laminar boundary layer. Proc. R. Soc. London Ser. A 347, 253–269.Google Scholar

Gear, C.W. (1978). Applications and Algorithms in Science and Engineering. Science Research Associates, Inc.Google Scholar

Germano, M., Piomelli, U., Moin, P. & Cabot, W.H. (1991). A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760–1765.Google Scholar

Girard, J.J. (1988). Study of the stability of compressible Couette flow. PhD Thesis, Washington State University.Google Scholar

Glatzel, W. (1988). Sonic instability in supersonic shear flows. Mon. Not. R. Astron. Soc. 231, 795–821.Google Scholar

Glatzel, W. (1989). The linear stability of viscous compressible plane Couette flow. J. Fluid Mech. 202, 515–541.Google Scholar

Gold, H. (1963). Stability of laminar wakes. PhD Thesis, California Institute of Technology.Google Scholar

Goldstein, S. (1930). Concerning some solutions of the boundary layer equations in hydrodynamics. Proc. Camb. Phil. Soc. 26, 1–30.Google Scholar

Goldstein, M.E. (1983). The evolution of Tollmien–Schlichting waves near a leading edge. J. Fluid Mech. 127, 59–81.Google Scholar

Goldstein, M.E. (1985). Scattering of acoustic waves into Tollmien–Schlichting waves by small streamwise variations in surface geometry. J. Fluid Mech. 154, 509–529.Google Scholar

Goldstein, M.E. (1987). Generation of Tollmien–Schlichting waves on interactive marginally separated flows. J. Fluid Mech. 181, 485–518.Google Scholar

Goldstein, M.E. & Wundrow, D.W. (1990). Spatial evolution of nonlinear acoustic mode instabilities on hypersonic boundary layers. J. Fluid Mech. 219, 585– 607.Google Scholar

Görtler, H. (1940a). Über eine dreidimensionale Instabilität laminarer Grenzschichten an konkaven Wänden, Nachr. Akad. Wiss, Göttingen Math-Physik Kl. IIa, Math-Physik-Chem. Abt. 2, 1–26 (Translation: NACA Tech. Memo. 1375, June 1954).Google Scholar

Görtler, H. (1940b). Über den Einfluss der Wandkrümmung auf die Enstehung der Turbulenz. Z. Angew. Math. Mech. 20, 138–147.Google Scholar

Görtler, H. & Witting, H. (1958). Theorie der sekundaren Instabilität der laminaren Grenzschichten. Int. Union Theor. Appl. Mech., Grenzschichtforschung, Freiburg, 110–126.Google Scholar

Gottlieb, D. & Orszag, S.A. (1986). Numerical Analysis of Spectral Methods: Theory and Applications. SIAM.Google Scholar

Granville, P.S. (1953). The calculation of the viscous drag of bodies of revolution. David Taylor Model Basin Rep. 849.Google Scholar

Greenough, J., Riley, J., Soestrisno, M. & Eberhardt, D. (1989). The effect of walls on a compressible mixing layer. AIAA Paper 89–0372.Google Scholar

Greenspan, H.D. (1969). The Theory of Rotating Fluids. Cambridge University Press.Google Scholar

Gregory, N., Stuart, J.T. & Walker, W.S. (1955). On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk. Phil. Trans. R. Soc. London Ser. A 248, 155–199.Google Scholar

Gropengiesser, H. (1969). On the stability of free shear layers in compressible flows. Deutsche Luft. und Raumfahrt, FB 69–25 (Translation: NASA TT F-12,786, 1970).Google Scholar

Grosch, C.E. & Salwen, H. (1978). The continuous spectrum of the Orr–Sommerfeld equation. Part 1. The spectrum and the eigenfunctions. J. Fluid Mech. 87, 33–54.Google Scholar

Grosch, C.E. & Jackson, T.L. (1991). Inviscid spatial stability of a three dimensional mixing layer. J. Fluid Mech. 231, 35–50.Google Scholar

Grosch, C.E., Jackson, T.L., Klein, R., Majda, A. & Papageorgiou, D.T. (1991). Supersonic modes of a compressible mixing layer. Unpublished manuscript.Google Scholar

Grosskreutz, R. (1975). An attempt to control boundary-layer turbulence with non-isotropic compliant walls. Univ. Sci. J. Dar es Salaam 1, 65–73.Google Scholar

Guirguis, R.H. (1988). Mixing enhancement in supersonic shear sayers. Part III. Effect of convective Mach number. AIAA Paper 88–0701.Google Scholar

Gunzburger, M. (1995). Flow Control. Springer.Google Scholar

Gustavsson, L.H. (1979). Initial-value problem for boundary layer flows. Phys. Fluids 22(9), 1602–1605Google Scholar

Gustavsson, L.H. (1991). Energy growth of three dimensional disturbances in plane Poiseuille flow. J. Fluid Mech. 224, 241–260.Google Scholar

Gustavsson, L.H. & Hultgren, L.S. (1980). A resonance mechanism in plane Couette flow. J. Fluid Mech. 98, 149–159.Google Scholar

Haberman, R. (1987). Elementary Applied Partial Differential Equations, 2nd edition. Prentice-Hall, Inc.Google Scholar

Hagan, G. (1855). Über den einfluss der temperatur auf die bewegung des wassers in rohren. Math. Abh. Akad. Wiss. (aus dem Jahr 1854), 17–98.Google Scholar

Hains, F.D. (1967). Stability of plane Couette–Poiseuille flow. Phys. Fluids 10, 2079– 2080.Google Scholar

Hall, P. & Malik, M.R. (1986). On the instability of a three-dimensional attachment-line boundary layer: Weakly nonlinear theory and a numerical simulation. J. Fluid Mech.163, 257–282.Google Scholar

Hall, P. & Smith, F.T. (1991). On strongly nonlinear vortex/wave interactions in boundary layer transition. J. Fluid Mech. 227, 641–666.Google Scholar

Hall, P., Malik, M.R. & Poll, D.I.A. (1984). On the stability of an infinite swept attachment line boundary layer. Proc. Roy. Soc. London Ser. A 395, 229–245.Google Scholar

Hama, F.R., Williams, D.R. & Fasel, H. (1979). Flow field and energy balance according to the spatial linear stability theory of the Blasius boundary layer. In Laminar-Turbulent Transition, Eppler, E. and Fasel, H. (eds). Stuttgart, Germany: IUTAM, September 16–22, 1979, 73–85.Google Scholar

Hämmerlin, G. (1955). Über das Eigenwertproblem der dreidimensionalen Instabilität laminarer Grenzschichten an konkaven Wänden. J. Rat. Mech. Anal. 4, 279–321.Google Scholar

Harris, J.E., Iyer, V. & Radwan, S. (1987). Numerical solutions of the compressible 3-D boundary layer equations for aerospace configurations with emphasis on LFC. In Research in Natural Laminar Flow and Laminar Flow Control, Hefner, J.N. & Sabo, F.E. (eds.) March 16–19, 1987. NASA Langley Research Center. NASA CP-2487, 517–545.Google Scholar

Haynes, T.S. & Reed, H.L. (1996). Computations in nonlinear saturation of stationary crossflow vortices in a swept-wing boundary layer. AIAA Paper 96–0182.Google Scholar

Hazel, P. (1972). Numerical studies of the stability of inviscid stratified shear flows. J. Fluid Mech. 51, 39–61.Google Scholar

Healey, J.J. (1995). On the neutral curve of the flat plate boundary layer: Comparison between experiment, Orr–Sommerfeld theory and asymptotic theory. J. Fluid Mech. 288, 59–73.Google Scholar

Hefner, J.N. & Bushnell, D.M. (1980). Status of linear boundary-layer stability theory and the e N method, with emphasis on swept-wing applications. NASA TP 1645.Google Scholar

Heisenberg, W. (1924). Uber Stabilität und Turbulenz von Flussigkeitsstromen. Ann. Physik 74, 577–627. (Translation: On stability and turbulence of fluid flows. NACA TM-1291, 1951.)CrossRef Google Scholar

Helmholtz, H. (1868). Über discontinuirliche flüssigkeits-bewegungen. Akad. Wiss., Berlin, Monatsber. 23, 215–228. (Translated by F. Guthrie: On discontinuous movements of fluids. Phil. Mag. 36(4), 337–346, 1868.)Google Scholar

Herbert, Th. (1983). Secondary instability of plane channel flow to subharmonic three-dimensional disturbances. Phys. Fluids 26(4), 871–874.Google Scholar

Herbert, Th. (1984). Secondary instability of shear flows. AGARD-R-709.Google Scholar

Herbert, Th. (1988). Secondary instability of boundary layers. Ann. Rev. Fluid Mech. 20, 487–526.Google Scholar

Herbert, Th. (1991). Boundary-layer transition analysis and prediction revisited. AIAA Paper 91–0737.Google Scholar

Herbert, Th. (1997). Parabolized stability equations. Ann. Rev. Fluid Mech. 29, 245– 283.Google Scholar

Herbert, Th., Bertolotti, F.P. & Santos, G.R. (1987). Flóquet analysis of secondary instability in shear flows. In Stability of Time Dependent and Spatially Varying Flows, Dwoyer, D.L. & Hussaini, M.Y. (eds). Springer, 43–57.Google Scholar

Herron, I.H. (1987). The Orr–Sommerfeld equation on infinite intervals. SIAM Review 29(4), 597–620.Google Scholar

Hiemenz, K. (1911). Die grenzschicht an einem in den gleichförmigen flüssigkeitsstrom eingetauchten geraden kreiszylinder. Thesis, Göttingen, Dingl. Polytechn. J. 326, 321.Google Scholar

Hill, D.C. (1995). Adjoint systems and their role in the receptivity problem for boundary layers. J. Fluid Mech. 292, 183–204.Google Scholar

Hocking, L.M. (1975). Non-linear instability of the asymptotic suction velocity profile. Quart. J. Mech. Appl. Math. 28, 341–353.Google Scholar

Høiland, E. (1953). On two-dimensional perturbations of linear flow. Geofysiske Publikasjoner, 18, 1–12Google Scholar

Holmes, B.J., Obara, C.J., Gregorek, G.M., Hoffman, M.J. & Freuhler, R.J. (1983). Flight investigation of natural laminar flow on the Bellanca Skyrocket II. SAE Paper 830717.Google Scholar

Hosder, S. & Simpson, R.L. (2001). Unsteady turbulent skin friction and separation location measurements on a maneuvering undersea vehicle. 39th AIAA Aerospace Sciences Meeting & Exhibit, January 8–11, 2001, Reno, NV. AIAA Paper 2001– 1000.Google Scholar

Howard, L.N. (1961). Note on a paper of John W. Miles. J. Fluid Mech. 10, 509–512.Google Scholar

Howard, L.N. & Gupta, A.A. (1962). On the hydrodynamic and hydromagnetic stability of swirling flows. J. Fluid Mech. 14, 463–476.Google Scholar

Hu, F. Q., Jackson, T.L., Lasseigne, D.G. & Grosch, C.E. (1993). Absolute-convective instabilities and their associated wave packets in a compressible reacting mixing layer. Phys. Fluids A 5(4), 901–915.Google Scholar

Huai, X., Joslin, R.D. & Piomelli, U. (1997). Large-eddy simulation of spatial development of transition to turbulence in a two-dimensional boundary layer. Theor. Comput. Fluid Dyn. 9, 149–163.Google Scholar

Huai, X., Joslin, R.D. & Piomelli, U. (1999). Large-eddy simulation of boundary-layer transition on a swept wedge. J. Fluid Mech. 381, 357–380.Google Scholar

Huerre, P. & Monkewitz, P.A. (1985). Absolute and convective instabilities in free shear layers. J. Fluid Mech. 159, 151–168.Google Scholar

Hughes, T.H. & Reid, W.H. (1965a). On the stability of the asymptotic suction boundary layer profile. J. Fluid Mech. 23, 715–735.Google Scholar

Hughes, T.H. & Reid, W.H. (1965b). The stability of laminar boundary layers at separation. J. Fluid Mech. 23, 737–747.Google Scholar

Hultgren, L.S. & Gustavsson, L.H. (1980). Algebraic growth of disturbances in a laminar boundary layer. Phys. Fluids 24, 1000–1004.Google Scholar

Hultgren, L.S. & Aggarwal, A.K. (1987). Absolute instability of the Gaussian wake profile. Phys. Fluids 30(11), 3383–3387.Google Scholar

Itoh, N. (1996). Simple cases of the streamline-curvature instability in three-dimensional boundary layers. J. Fluid Mech. 317, 129–154.Google Scholar

Iyer, V. (1990). Computation of three-dimensional compressible boundary layers to fourth-order accuracy on wings and fuselages. NASA CR-4269.Google Scholar

Iyer, V. (1993). Three-dimensional boundary layer program (BL3D) for swept subsonic or supersonic wings with application to laminar flow control. NASA CR-4531.Google Scholar

Iyer, V. (1995). Computer program BL2D for solving two-dimensional and axisymmetric boundary layers. NASA CR-4668.Google Scholar

Jackson, T.L. & Grosch, C.E. (1989). Inviscid spatial stability of a compressible mixing layer. J. Fluid Mech. 208, 609–637.Google Scholar

Jackson, T.L. & Grosch, C.E. (1990a). Inviscid spatial stability of a compressible mixing layer. Part 2. The flame sheet model. J. Fluid Mech. 217, 391–420.Google Scholar

Jackson, T.L. & Grosch, C.E. (1990b). Absolute/convective instabilities and the convective Mach number in a compressible mixing layer. Phys. Fluids A 2(6), 949–954.Google Scholar

Jackson, T.L. & Grosch, C.E. (1990c). On the classification of unstable modes in bounded compressible mixing layers. In Instability and Transition, Hussaini, M.Y. & Voigt, R.G. (eds). Springer, Vol. II, 187–198.Google Scholar

Jackson, T.L. & Grosch, C.E. (1991). Inviscid spatial stability of a compressible mixing layer. Part 3. Effect of thermodynamics. J. Fluid Mech. 224, 159–175.Google Scholar

Jackson, T.L. & Grosch, C.E. (1994). Structure and stability of a laminar diffusion flame in a compressible, three dimensional mixing layer. Theor. Comput. Fluid Dyn. 6, 89–112.Google Scholar

Joseph, L.A., Borgoltz, A. & Devenport, W. (2014). Transition detection for low speed wind tunnel testing using infrared thermography. 30th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, June 16–20, 2014, Atlanta, GA. AIAA Paper 2014–2939.Google Scholar

Joslin, R.D. (1990). The effect of compliant walls on three-dimensional primary and secondary instabilities in boundary layer transition. PhD Thesis, The Pennsylvania State University.Google Scholar

Joslin, R.D. (1995a). Evolution of stationary crossflow vortices in boundary layers on swept wings. AIAA J. 33(7), 1279–1285.Google Scholar

Joslin, R.D. (1995b). Direct simulation of evolution and control of three-dimensional instabilities in attachment-line boundary layers. J. Fluid Mech. 291, 369–392.Google Scholar

Joslin, R.D. (1997). Direct numerical simulation of evolution and control of linear and nonlinear disturbances in three-dimensional attachment-line boundary layers. NASA TP-3623.Google Scholar

Joslin, R.D. (1998). Overview of laminar flow control. NASA TP 1998–208705.Google Scholar

Joslin, R.D. & Morris, P.J. (1992). Effect of compliant walls on secondary instabilities in boundary-layer transition. AIAA J. 30(2), 332–339.Google Scholar

Joslin, R.D. & Streett, C.L. (1994). The role of stationary crossflow vortices in boundary-Layer transition on swept wings. Phys. Fluids 6(10), 3442–3453.Google Scholar

Joslin, R.D., Morris, P.J. & Carpenter, P.W. (1991). The role of three-dimensional instabilities in compliant wall boundary-layer transition. AIAA J. 29(10), 1603–1610.Google Scholar

Joslin, R.D., Streett, C.L. & Chang, C.L. (1992). Validation of three-dimensional incompressible spatial direct numerical simulation code: A comparison with linear stability and parabolic stability equation theories for boundary-layer transition on a flat plate. NASA TP-3205, July.Google Scholar

Joslin, R.D., Streett, C.L. & Chang, C.L. (1993). Spatial direct numerical simulation of boundary-layer transition mechanisms: Validation of PSE theory. Theor. Comput. Fluid Dyn. 4(6), 271–288.Google Scholar

Joslin, R.D., Nicolaides, R.A., Erlebacher, G., Hussaini, M.Y. & Gunzburger, M. (1995). Active control of boundary-layer instabilities: Use of sensors and spectral controller. AIAA J. 33(8), 1521–1523.Google Scholar

Joslin, R.D., Erlebacher, G. & Hussaini, M.Y. (1996). Active control of instabilities in laminar boundary-layer Flow. An overview. J. Fluids Eng. 118, 494–497.Google Scholar

Joslin, R.D., Gunzburger, M.D., Nicolaides, R.A., Erlebacher, G. & Hussaini, M.Y. (1997). Self-contained, automated methodology for optimal flow control. AIAA J. 35(5), 816–824.Google Scholar

Joslin, R.D., Kunz, R.F. & Stinebring, D.R. (2000). Flow control technology readiness: Aerodynamic versus hydrodynamic. 18th Applied Aerodynamics Conference & Exhibit, August 14–17, 2000, Denver, CO. AIAA Paper 2000–4412.Google Scholar

Kachanov, Y.S. (1994). Physical mechanisms of laminar boundary layer transition. Ann. Rev. Fluid Mech. 26, 411–482.Google Scholar

Kachanov, Y.S. & Levchenko, V.Y. (1984). The resonant interaction of disturbances at laminar–turbulent transition in a boundary layer. J. Fluid Mech. 138, 209–247.Google Scholar

Kachanov, Y.S. & Tararykin, O.I. (1990). The experimental investigation of stability and receptivity of a swept wing flow. In IUTAM Symposium on Laminar– Turbulent Transition, Arnal, D. & Michel, R. (eds). Springer, 499–509.Google Scholar

Kachanov, Y.S., Kozlov, V.V. & Levchenko, V.Y. (1979). Experiments on nonlinear interaction of waves in boundary layers. In IUTAM Symposium on Laminar– Turbulent Transition, Arnal, D. & Michel, R. (eds). Springer, 135–152.Google Scholar

Kaplan, R.E. (1964). The stability of laminar incompressible boundary layers in the presence of compliant boundaries. Massachusetts Institute of Technology, Aero-Elastic and Structures Research Laboratory, ASRL-TR 116–1.Google Scholar

Karniadakis, G.E. & Triantafyllou, G.S. (1989). Frequency selection and asymptotic states in laminar wakes. J. Fluid Mech. 199, 441–469.Google Scholar

Kelvin, Lord (1871). Hydrokinetic solutions and observations. Phil. Mag. 4(42), 362– 377. (Reprinted in Mathematical and Physical Papers, 4, 152–165, 1910.)Google Scholar

Kelvin, Lord (1880). On a disturbance in Lord Rayleigh’s solution for waves in a plane vortex stratum. Nature 23, 45–46. (Reprinted in Mathematical and Physical Papers 4, 186–187, 1910.)Google Scholar

Kelvin, Lord (1887a). Rectilinear motion of a viscous fluid between parallel plates. In Mathematical and Physical Papers 4, 321–330, 1910.Google Scholar

Kelvin, Lord (1887b). Broad river flowing down an inclined plane bed. In Mathematical and Physical Papers 4, 330–337, 1910.Google Scholar

Kendall, J.M. (1966). Supersonic boundary layer stability experiments. Bull. Am. Phys. Soc.Google Scholar

Kennedy, C.A. & Chen, J.H. (1998). Mean flow effects on the linear stability of compressible planar jets. Phys. Fluids 10(3), 615–626.Google Scholar

Kerschen, E.J. (1987). Boundary layer receptivity and laminar flow airfoil design. In Research in Natural Laminar Flow and Laminar-Flow Control, Hefner, J.N. & Sabo, F.E. (eds). March 16–19, 1987. NASA Langley Research Center. NASA CP-2487, 273–287.Google Scholar

Kerschen, E.J. (1989). Boundary-layer receptivity. AIAA 12th Aeroacoustics Conference, April 10–12, 1989, San Antonio, TX. AIAA Paper 89–1109.Google Scholar

Khorrami, M.R. (1991). On the viscous modes of instability of a trailing line vortex. J. Fluid Mech. 255, 197–212.Google Scholar

King, R.A. & Breuer, K.S. (2001). Acoustic receptivity and evolution of two-dimensional and oblique disturbances in a Blasius boundary layer. J. Fluid Mech. 432, 69–90.Google Scholar

Kirchgässner, K. (1961). Die instabilität der Strömung zwischen zwei rotierenden Zylindern gegenuber Taylor–Wirbeln fur beliebige Spaltbreiten. Z. Angew. Math. Phys. 12, 14–30.Google Scholar

Klebanoff, P.S., Tidstrom, K.D. & Sargent, L.M. (1962). The three-dimensional nature of boundary layer instability. J. Fluid Mech. 12, 1–34.Google Scholar

Kleiser, L. & Zang, T.A. (1991). Numerical simulation of transition in wall bounded shear flows. Ann. Rev. Fluid Mech. 23, 495–537.Google Scholar

Klemp, J.B. & Acrivos, A. (1972). A note on the laminar mixing of two uniform parallel semi-infinite streams. J. Fluid Mech. 55, 25–30.Google Scholar

Kloker, M. & Fasel, H. (1990). Numerical simulation of two- and three-dimensional instability waves in two-dimensional boundary layers with streamwise pressure gradients. In IUTAM Symposium on Laminar–Turbulent Transition, Arnal, D. & Michel, R. (eds). Springer, 681–686.Google Scholar

Kobayashi, R., Kohama, Y. & Kurosawa, M. (1983). Boundary-layer transition on a rotating cone in axial flow, J. Fluid Mech. 127, 341–52.Google Scholar

Koch, W. (1986). Direct resonances in Orr–Sommerfeld problems. Acta Mech. 58, 11–29.Google Scholar

Kohama, Y., Saric, W.S. & Hoos, J.A. (1991). A high frequency, secondary instability of crossflow vortices that leads to transition. In Royal Aeronautical Society Conference on Boundary Layer Transition and Control, Cambridge University.Google Scholar

Koochesfahani, M.M. & Frieler, C.E. (1989). Instability of nonuniform density free shear layers with a wake profile. AIAA J. 27(12), 1735–1740.Google Scholar

Kozusko, F., Lasseigne, D.G., Grosch, C.E. & Jackson, T.L. (1996). The stability of compressible mixing layers in binary gases. Phys. Fluids 8(7), 1954–1963.Google Scholar

Kramer, M.O. (1957). Boundary-layer stabilization by distributed damping. J. Aero. Sci. 24(6), 459–460.Google Scholar

Kramer, M.O. (1965). Hydrodynamics of the dolphin. Advances in Hydroscience 2, 111–130.Google Scholar

Kuo, A.L. (1949). Dynamic instability of two-dimensional nondivergent flow in a barotropic atmosphere. J. Meteorology 6, 105–122.Google Scholar

Kuramoto, Y. (1980). Instability and turbulence of wave fronts in reaction-diffusion systems. Progr. Theor. Phys. 63(6), 1885–1903.Google Scholar

Ladd, D.M. (1990). Control of natural laminar instability waves on an axisymmetric body. AIAA J. 28(2), 367–369.Google Scholar

Ladd, D.M. & Hendricks, E.W. (1988). Active control of 2-D instability waves on an axisymmetric body. Exp. Fluids 6, 69–70.Google Scholar

Lamb, H. (1945). Hydrodynamics. Cambridge University Press. Reprinted by Dover.Google Scholar

Landahl, M.T. (1980). A note on an algebraic instability of inviscid parallel shear flows. J. Fluid Mech. 98, 243–251.Google Scholar

Landau, L.D. (1944). On the problem of turbulence. Akademiya Nauk SSSR. Doklady 44, 311–314.Google Scholar

Lasseigne, D.G., Joslin, R.D., Jackson, T.L. & Criminale, W.O. (1999). The transient period for boundary layer disturbances. J. Fluid Mech. 381, 89–119.Google Scholar

Laufer, J. & Vrebalovich, T. (1957). Experiments on the instability of a supersonic boundary layer. 9th Int. Cong. Appl. Mech. 4, 121–131.Google Scholar

Laufer, J. & Vrebalovich, T. (1958). Stability of a supersonic laminar boundary layer on a flat plate. California Institute of Technology, Jet Propulsion Laboratory Rep. 20–116.Google Scholar

Laufer, J. & Vrebalovich, T. (1960). Stability and transition of a supersonic laminar boundary layer on an insulated flat plate. J. Fluid Mech. 9, 257–299.Google Scholar

Lecointe, Y. & Piquet, J. (1984). On the use of several compact methods for the study of unsteady incompressible viscous flow round a circular cylinder. Computers & Fluids 12(4), 255–280.Google Scholar

Leehey, P. & Shapiro, P.J. (1980). Leading edge effect in laminar boundary layer excitation by sound. In IUTAM Symposium on Laminar–Turbulent Transition, Arnal, D. & Michel, R. (eds). Springer, 321–331.Google Scholar

Lees, L. (1947). The stability of the laminar boundary layer in a compressible fluid. NACA TR-876.Google Scholar

Lees, L. & Lin, C.C. (1946). Investigation of the stability of the laminar boundary layer in a compressible fluid. NACA TN-1115.Google Scholar

Lees, L. & Reshotko, E. (1962). Stability of the compressible boundary layer. J. Fluid Mech. 12, 555–590.Google Scholar

Lees, L. & Gold, H. (1964). Stability of laminar boundary layers and wakes at hypersonic speeds. I. Stability of laminar wakes. In Fundamental Phenomena in Hypersonic Flow, Hall, J.G. (ed.). Cornell University Press, 310–339.Google Scholar

Lele, S.K. (1989). Direct numerical simulation of compressible free shear layer flows. AIAA Paper 89–0374.Google Scholar

Lele, S.K. (1992). Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16–42.Google Scholar

Lessen, M. (1950). On stability of free laminar boundary layer between parallel streams. NACA R-979.Google Scholar

Lessen, M., Fox, J.A. & Zien, H.M. (1965). On the inviscid stability of the laminar mixing of two parallel streams of a compressible fluid. J. Fluid Mech. 23, 355–367.Google Scholar

Lessen, M., Fox, J.A. & Zien, H.M. (1966). Stability of the laminar mixing of two parallel streams with respect to supersonic disturbances. J. Fluid Mech. 25, 737–742.Google Scholar

Lessen, M., Singh, P.J. & Paillet, F. (1974). The stability of a trailing line vortex. Part 1. Inviscid theory. J. Fluid Mech. 63, 753–763.Google Scholar

Lessen, M. & Paillet, F. (1974). The stability of a trailing line vortex. Part 2. Viscous theory. J. Fluid Mech. 65, 769–779.Google Scholar

Liepmann, H.W. (1943). Investigation of laminar boundary layer stability and transition on curved boundaries. NACA Advisory Conf. Rep. 31730.Google Scholar

Liepmann, H.W. & Nosenchuck, D.M. (1982a). Active control of laminar–turbulent transition. J. Fluid Mech. 118, 201–204.Google Scholar

Liepmann, H.W. & Nosenchuck, D.M. (1982b). Control of laminar instability waves using a new technique. J. Fluid Mech. 118, 187–200.Google Scholar

Ligrani, P.M., Longest, J.E., Kendall, M.R. & Fields, W.A. (1994). Splitting, merging, and spanwise wavenumber selection of Dean vortex pairs. Exp. Fluids 18(1/2), 41–58.Google Scholar

Lilly, D.K. (1966). On the instability of Ekman boundary flow. J. Atmos. Sci. 23, 481– 494.Google Scholar

Lin, C.C. (1944). On the stability of two-dimensional parallel flows. National Academy of Science, US 30, 316–323.Google Scholar

Lin, C.C. (1945). On the stability of two-dimensional parallel flows. Parts I, II, III. Quart. Appl. Math. 3, 117–142, 218–234, 277–301.Google Scholar

Lin, C.C. (1954). Hydrodynamic Stability. In 13th Symp. Appl. Math. Amer. Math. Soc., 1–18Google Scholar

Lin, C.C. (1955). The Theory of Hydrodynamic Stability. Cambridge University Press.Google Scholar

Lin, C.C. (1961). Some mathematical problems in the theory of the stability of parallel flows. J. Fluid Mech. 10, 430–438.Google Scholar

Lin, R.S. & Malik, M.R. (1994). The stability of incompressible attachment-line boundary layers: A 2D eigenvalue approach. AIAA Paper 94–2372.Google Scholar

Lin, R.S. & Malik, M.R. (1995). Stability and transition in compressible attachment line boundary layer flow. Aerotech’95, Sept 18–21, 1995. Los Angeles, CA. SAE Paper 952041.Google Scholar

Lin, R.S. & Malik, M.R. (1996). On the stability of attachment line boundary layers. Part 1. The incompressible swept Hiemenz flow. J. Fluid Mech. 311, 239– 255.Google Scholar

Lingwood, R.J. (1995). Absolute instability of the boundary layer on a rotating-disk boundary layer flow. J. Fluid Mech. 299, 17–33.Google Scholar

Lingwood, R.J. (1996). An experimental study of absolute instability of the rotating-disk boundary-layer flow. J. Fluid Mech. 314, 373–405.Google Scholar

Lingwood, R.J. (1997). On the impulse response for swept boundary-layer flows. J. Fluid Mech. 344, 317–334.Google Scholar

Liou, W.W. & Shih, T.H. (1997). Bypass transitional flow calculations using a Navier– Stokes solver and two equation models. AIAA Paper 97–2738.Google Scholar

Liu, C. (1998). Multigrid methods for steady and time-dependent flow. In Computational Fluid Dynamics Review, Hafez, M. & Oshima, K. (eds). World Scientific Publishers Vol. 1, 512–535.Google Scholar

Liu, C. & Liu, Z. (1997). Advances in DNS/LES. First AFOSR International Conference on DNS/LES, August 4–8, 1997. Greyden Press.Google Scholar

Lock, R.C. (1951). The velocity distribution in the laminar boundary layer between parallel streams. Quart. J. Mech. Appl. Math. 4, 42–62.Google Scholar

Lu, G. & Lele, S.K. (1993). Inviscid instability of a skewed compressible mixing layer. J. Fluid Mech. 249, 441–463.Google Scholar

Lu, G. & Lele, S.K. (1994). On the density ratio effect on the growth rate of a compressible mixing layer. Phys. Fluids 6(2), 1073–1075.Google Scholar

Luther, H.A. (1966). Further explicit fifth-order Runge–Kutta formulas. SIAM Review 8(3), 374–380.Google Scholar

Lynch, R.E., Rice, J.R. & Thomas, D.H. (1964). Direct solution of partial difference equations by tensor product methods. Num. Math. 6, 185–199.Google Scholar

Macaraeg, M.G. (1990). Bounded free shear flows: linear and nonlinear growth. In Instability and Transition, Hussaini, M.Y. & Voigt, R.G. (eds). Springer, Vol. II, 177–186.Google Scholar

Macaraeg, M.G. (1991). Investigation of supersonic modes and three-dimensionality in bounded, free shear flows. Comput. Phys. Commun. 65, 201–208.Google Scholar

Macaraeg, M.G., Streett, C.L. & Hussaini, M.Y. (1988). A spectral collocation solution to the compressible stability eigenvalue problem. NASA TP-2858.Google Scholar

Macaraeg, M.G. & Streett, C.L. (1989). New instability modes for bounded, free shear flows. Phys. Fluids A 1(8), 1305–1307.Google Scholar

Macaraeg, M.G. & Streett, C.L. (1991). Linear stability of high-speed mixing layers. Appl. Numerical Math. 7, 93–127.Google Scholar

Mack, L.M. (1960). Numerical calculation of the stability of the compressible, laminar boundary layer. California Institute of Technology, Jet Propulsion Laboratory Rep. 20–122.Google Scholar

Mack, L.M. (1965a). Computation of the stability of the laminar compressible boundary layer. In Methods in Computational Physics, Alder, B., Fernbach, S. & Rotenberg, M. (eds). Academic Press, Vol. 4, 247–299.Google Scholar

Mack, L.M. (1965b). Stability of the compressible laminar boundary layer according to a direct numerical solution. Recent Developments In Boundary Layer Research, AGARDograph 97, Part 1, 329–362.Google Scholar

Mack, L.M. (1966). Viscous and inviscid amplification rates of two and three-dimensional disturbances in a compressible boundary layer. Space Prog. Summary, 42, IV, November.Google Scholar

Mack, L.M. (1975). Linear stability theory and the problem of supersonic boundary layer transition. AIAA J. 13(3), 278–289.Google Scholar

Mack, L.M. (1976). A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer. J. Fluid Mech. 73(3), 497–520.Google Scholar

Mack, L.M. (1984). Boundary layer linear stability theory. Special Course on Stability and Transition of Laminar Flow, AGARD-R-709.Google Scholar

Mack, L.M. (1987). Review of compressible stability theory. Stability of Time Dependent and Spatially Varying Flows, Dwoyer, D.L. & Hussaini, M.Y. (eds). Springer, 164–187.Google Scholar

Mack, L.M. (1988). Stability of three-dimensional boundary layers on swept wings at transonic speeds. In Transsonicum III, IUTAM, Zierep, J. & Oertel, H. (eds). Springer.Google Scholar

Mack, L.M. (1990). On the inviscid acoustic mode instability of supersonic shear flows. Part I. Two dimensional waves. Theor. Comput. Fluid Dyn. 2, 97–123.Google Scholar

Maddalon, D.V., Collier, F.S. Jr., Montoya, L.C. & Putnam, R.J. (1990). Transition flight experiments on a swept wing with suction. In IUTAM Symposium on Laminar–Turbulent Transition, Arnal, D. & Michel, R. (eds). Springer, 53–62.Google Scholar

Malik, M.R. (1982). COSAL-A black box compressible stability analysis code for transition prediction in three-dimensional boundary layers. NASA CR-165925.Google Scholar

Malik, M.R. (1986). The neutral curve for stationary disturbances in rotating disk flow. J. Fluid Mech. 164, 275–287.Google Scholar

Malik, M.R. (1987). Stability theory applications to laminar-flow control. NASA CP-2487, 219–244.Google Scholar

Malik, M.R. (1990). Numerical methods for hypersonic boundary layer stability. J. Comp. Phys. 86, 376–413.Google Scholar

Malik, M.R., Wilkinson, S.P. & Orszag, S.A. (1981). Instability and transition in rotating disk flow. AIAA J. 19, 1131–1138.Google Scholar

Mattingly, G.E. & Criminale, W.O. (1972). The stability of an incompressible two-dimensional wake. J. Fluid Mech. 51(2), 233–272.Google Scholar

Mayer, E.W. & Powell, K.G. (1992). Instabilities of a trailing vortex. J. Fluid Mech. 245, 91–114.Google Scholar

Meister, B. (1962). Das Taylor-Deansche Stabilitätsproblem für- beliebige Spaltbreiten. Z. Angew. Math. Phys. 13, 83–91.Google Scholar

Meksyn, D. (1950). Stability of viscous flow over concave cylindrical surfaces. Proc. R. Soc. London Ser. A 203, 253–265.Google Scholar

Meksyn, D. & Stuart, J.T. (1951). Stability of viscous motion between parallel flows for finite disturbances. Proc. R. Soc. London Ser. A 208, 517–526.Google Scholar

Michalke, A. (1964). On the inviscid instability of the hyperbolic-tangent velocity profile. J. Fluid Mech. 19, 543–556.Google Scholar

Michalke, A. (1965). On spatially growing disturbances in an inviscid shear layer. J. Fluid Mech. 23, 521–544.Google Scholar

Miklavčič, M. (1983). Eigenvalues of the Orr–Sommerfeld equation in an unbounded domain. Arch. Rational Mech. Anal. 83, 221–228.Google Scholar

Miklavčič, M. & Williams, M. (1982). Stability of mean flows over an infinite flat plate. Arch. Rational Mech. Anal. 80, 57–69.Google Scholar

Miles, J.W. (1958). On the disturbed motion of a plane vortex sheet. J. Fluid Mech. 4, 538–552.Google Scholar

Milling, R.W. (1981). Tollmien–Schlichting wave cancellation. Phys. Fluids 24(5), 979–981.Google Scholar

Mittal, R. & Balachandar, S. (1995). Effect of three-dimensionality on the lift and drag of nominally two-dimensional cylinders. Phys. Fluids 7(8), 1841–1865.Google Scholar

Monkewitz, P.A. & Huerre, P. (1982). Influence of the velocity ratio on the spatial instability of mixing layers. Phys. Fluids 25(7), 1137–1143.Google Scholar

Morkovin, M.V. (1969). On the many faces of transition. In Viscous Drag Reduction, Wells, C.S. (ed). Plenum Press, 1–31.Google Scholar

Morkovin, M.V. (1985). Bypass transition to turbulence and research desiderata. Transition in Turbines, NASA Conference Publication 2386, 161–204 https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19850023129.pdf Google Scholar

Morris, P.J. & Giridharan, M.G. (1991). The effect of walls on instability waves in supersonic shear layers. Phys. Fluids A 3(2), 356–358.Google Scholar

Mukunda, H.S., Sekar, B., Carpenter, M., Drummond, J.P. & Kumar, A. (1992). Direct simulation of high speed mixing layers. NASA TP-3186.Google Scholar

Müller, B. & Bippes, H. (1988). Experimental study of instability modes in a three-dimensional boundary layer. AGARD-CP-438.Google Scholar

Murdock, J.W. (1977). A numerical study of nonlinear effects on boundary-layer stability. AIAA J. 15, 1167–1173.Google Scholar

Nayfeh, A. H (1980). Stability of three-dimensional boundary layers. AIAA J. 18, 406– 416.Google Scholar

Nayfeh, A.H. (1987). Nonlinear stability of boundary layers, AIAA 25th Aerospace Sciences Meeting, January 12–15, 1987, Reno Nevada. AIAA Paper 87–0044.Google Scholar

Nayfeh, A.H. & Bozatli, A.N. (1979). Nonlinear wave interactions in boundary layers. AIAA Paper 79–1496.Google Scholar

Nayfeh, A.H. & Bozatli, A.N. (1980). Nonlinear wave interactions of two waves in boundary layers flows. Phys. Fluids 23(3), 448–459.Google Scholar

Ng, B.S. & Reid, W.H. (1979). An initial value method for eigenvalue problems using compound matrices. J. Comput. Phys. 30(1), 125–136.Google Scholar

Ng, B.S. & Reid, W.H. (1980). On the numerical solution of the Orr–Sommerfeld problem: Asymptotic initial conditions for shooting methods. J. Comput. Phys. 38, 275–293.Google Scholar

Obremski, H.T., Morkovin, M.V. & Landahl, M.T. (1969). A portfolio of stability characteristics of incompressible boundary layers. AGARDograph 134, NATO, Paris.Google Scholar

Orr, W.McF. (1907a). Lord Kelvin’s investigations, especially the case of a stream which is shearing uniformly. Roy. Irish Academy A27, 69–138.Google Scholar

Orr, W.McF. (1907b). The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. Roy. Irish Academy A27, 9–68.Google Scholar

Orszag, S.A. (1971). Accurate solution of the Orr–Sommerfeld stability equation. J. Fluid Mech. 50, 689–703.Google Scholar

Orszag, S.A. & Patera, A.T. (1980). Subcritical transition to turbulence in plane channel flows. Phys. Rev. Let., 45, 989–993.Google Scholar

Orszag, S.A. & Patera, A.T. (1981). Subcritical transition to turbulence in plane shear flows. In Transition and Turbulence, Meyer, R.E. (ed). Academic Press, 127–146.Google Scholar

Pal, A., Bower, W.W. & Meyer, G.H. (1991). Numerical simulations of multi-frequency instability-wave growth and suppression in the Blasius boundary layer. Phys. Fluids A3(2), 328–340.Google Scholar

Papageorgiou, D.T. (1990a). Linear instability of the supersonic wake behind a flat plate aligned with a uniform stream. Theoret. Comput. Fluid Dyn. 1, 327–348.Google Scholar

Papageorgiou, D.T. (1990b). The stability of two-dimensional wakes and shear layers at high Mach numbers. ICASE Rep. 90–39.Google Scholar

Papageorgiou, D.T. (1990c). Accurate calculation and instability of supersonic wake flows. In Instability and Transition, Hussaini, M.Y. & Voigt, R.G. (eds). Springer, Volume II, 216–229.Google Scholar

Papageorgiou, D.T. & Smith, F.T. (1988). Nonlinear instability of the wake behind a flat plate placed parallel to a uniform stream. Proc. R. Soc. London Ser. A 419, 1–28.Google Scholar

Papageorgiou, D.T. & Smith, F.T. (1989). Linear instability of the wake behind a flat plate placed parallel to a uniform stream. J. Fluid Mech. 208, 67–89.Google Scholar

Papamoschou, D. & Roshko, A. (1986). Observations of supersonic free-shear layers. AIAA Paper 86–0162.Google Scholar

Papamoschou, D. & Roshko, A. (1988). The compressible turbulent shear layer: an experimental study. J. Fluid Mech. 197, 453–477.Google Scholar

Papas, P., Monkewitz, P.A. & Tomboulides, A.G. (1999). New instability modes of a diffusion flame near extinction. Phys. Fluids 11(10), 2818–2820.Google Scholar

Pavithran, S. & Redekopp, L.G. (1989). The absolute-convective transition in subsonic mixing layers. Phys. Fluids A 1(10), 1736–1739.Google Scholar

Peerhossaini, H. (1987). L’Instabilité d’une couche limité sur une paroi concave (les tourbilons de Görtler). Thèse de Doctorat, Univ. Pierre et Marie Curie.Google Scholar

Peroomian, O. & Kelly, R.E. (1994). Absolute and convective instabilities in compressible confined mixing layers. Phys. Fluids 6(9), 3192–3194.Google Scholar

Pfenninger, W. (1965). Flow phenomena at the leading edge of swept wings. Recent Developments in Boundary Layer Research, AGARDograph 97.Google Scholar

Piomelli, U. & Zang, T.A. (1991). Large-eddy simulation of transitional channel flow. Comput. Phys. Commun. 65, 224–230.Google Scholar

Piomelli, U. & Liu, J. (1995). Large-eddy simulation of rotating channel flows using a localized dynamic model. Phys. Fluids 23, 839–848.Google Scholar

Piomelli, U., Zang, T.A., Speziale, C.G. & Hussaini, M.Y. (1990). On the large eddy simulation of transitional wall-bounded flows. Phys. Fluids A 2, 257–265.Google Scholar

Planche, O.H. & Reynolds, W.C. (1991). Compressibility effect on the supersonic reacting mixing layer. AIAA Paper 91–0739.Google Scholar

Potter, M.C. (1966). Stability of plane Couette-Poiseuille flow. J. Fluid Mech. 24, 609–619.Google Scholar

Prandtl, L. (1921–1926). Bemerkungen über die entstehung der turbulenz. Zeitschrift für Angewandte Mathematik und Mechanik 1, 431–436; Physik. Z. 23, 1922, 19–23. Discussion after Solberg’s paper, 1924; and with F. Noether, Zeitschrift für Angewandte Mathematik und Mechanik 6, 1926, 339, 428.Google Scholar

Prandtl, L. (1930). Einfluss stabilisierender kräfte auf die turbulenz. Vorträge aus dem Gebiete det Aerodynamik und Verwandter Gebiete, Aachen. Springer, 1–17.Google Scholar

Prandtl, L. (1935). Aerodynamic Theory, Durand, W.F. (ed). Springer, Vol 3, 178–190.Google Scholar

Press, W.H., Teukolsky, S.A., Vetterling, W.T. & Flannery, B.P. (1992). Numerical Recipes in Fortran, 2nd edition. Cambridge University Press.Google Scholar

Pruett, C.D. & Chang, C.L. (1995). Spatial direct numerical simulation of high-speed boundary-layer flows. Part II: Transition on a cone in Mach 8 flow. Theor. & Comput. Fluid Dyn. 7(5), 397–424.Google Scholar

Pupator, P. & Saric, W. (1989). Control of random disturbances in a boundary layer. AIAA Paper 89–1007.Google Scholar

Raetz, G.S. (1964). Calculation of precise proper solutions for the resonance theory of transition. I. Theoretical investigations. Contract AF 33–657–11618, Final Rept., Document Rept. ASD-TDR, Northrop Aircraft Inc., Norair Division, Hawthorne, CA.Google Scholar

Ragab, S.A. (1988). Instabilities in the wake mixing-layer region of a splitter plate separating two supersonic streams. AIAA Paper 88–3677.Google Scholar

Ragab, S.A. & Wu, J.L. (1989). Linear instabilities in two dimensional compressible mixing layers. Phys. Fluids A 1(6), 957–966.Google Scholar

Rai, M.M. & Moin, P. (1991a). Direct numerical simulation of transition and turbulence in a spatially-evolving boundary layer. AIAA Paper 91–1607.Google Scholar

Rai, M.M. & Moin, P. (1991b). Direct numerical simulation of turbulent flow using finite-difference schemes. J. Comput. Phys. 96, 15–53.Google Scholar

Rayleigh, Lord (1879). On the in stability of jets. Proc. London Math. Soc. 10, 4–13. (Reprinted in Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 1, 361–371, 1899).Google Scholar

Rayleigh, Lord (1880). On the stability or instability of certain fluid motions. Proc. London Math. Soc. 11, 57–70. (Reprinted in Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 1, 474–487, 1899.)Google Scholar

Rayleigh, Lord (1883). Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. London Math. Soc. 14, 170–177. (Reprinted in Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 2, 200–207, 1900.)Google Scholar

Rayleigh, Lord (1887). On the stability or instability of certain fluid motions. Part II. Scientific Papers, Strutt, J.W. (ed). Cambridge University Press, Vol. 3, 17–23.Google Scholar

Rayleigh, Lord (1892a). On the question of the stability of the flow of fluids. Phil. Mag. 34, 59–70. (Reprinted in Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 3, 575–584, 1902.)Google Scholar

Rayleigh, Lord (1892b). On the stability of a cylinder of viscous liquid under capillary force. Scientific Papers, Strutt, J.W. (ed). Cambridge University Press, Vol. 3, 2– 23, 1899.Google Scholar

Rayleigh, Lord (1892c). On the instability of cylindrical fluid surfaces. Phil. Mag., 34, 177–180. (Reprinted Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 3, 594–596, 1902.)Google Scholar

Rayleigh, Lord (1894). The Theory of Sound, 2nd edition. Macmillan.Google Scholar

Rayleigh, Lord (1895). On the stability or instability of certain fluid motions. III. Scientific Papers, Strutt, J.W. (ed). Cambridge University Press, Vol. 4, 203–209, 1899.Google Scholar

Rayleigh, Lord (1911). Hydrodynamical notes. Phil. Mag. 21, 177–195.Google Scholar

Rayleigh, Lord (1913). On the stability of the laminar motion of an inviscid fluid. Scientific Papers, Strutt, J.W. (ed). Cambridge University Press, Vol. 6, 197–204.Google Scholar

Rayleigh, Lord (1914). Further remarks on the stability of viscous fluid motion. Phil. Mag. 28, 609–619. (Reprinted in Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 6, 266–275, 1920.)Google Scholar

Rayleigh, Lord (1915). On the stability of the simple shearing motion of a viscous incompressible fluid. Scientific Papers, Strutt, J.W. (ed). Cambridge University Press, Vol. 6, 341–349.Google Scholar

Rayleigh, Lord (1916a). On convection currents in a horizontal layer of fluid when the higher temperature is on the other side. Phil. Mag. 32, 529–546. (Reprinted in Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 6, 432–446, 1920.)Google Scholar

Rayleigh, Lord (1916b). On the dynamics of revolving fluids. Proc. Roy. Soc. London Ser. A 93, 148–154. (Reprinted in Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 6, 447–453, 1920.)Google Scholar

Reddy, S.C. & Henningson, D.S. (1993). Energy growth in viscous channel flows. J. Fluid Mech. 252, 209–238.Google Scholar

Reed, H.L. & Saric, W.S. (1998). Stability of three-dimensional boundary layers. Ann. Rev. Fluid Mech. 21, 235.Google Scholar

Reibert, M.S., Saric, W.S., Carrillo, R.B. Jr. & Chapman, K.L. (1996). Experiments in nonlinear saturation of stationary crossflow vortices in a swept-wing boundary layer. 34th Aerospace Sciences Meeting & Exhibit, January 15–18, 1996, Reno, NV. AIAA Paper 96–0184.Google Scholar

Reischman, M.M. (1984). A review of compliant coating drag reduction research at ONR. Laminar-Turbulent Boundary Layers 11, 99–105.Google Scholar

Reshotko, E. (1960). Stability of the compressible laminar boundary layer. California Institute of Technology, Guggenheim Aeronautical Laboratory, GALCIT Memo. No. 52.Google Scholar

Reshotko, E. (1976). Boundary-layer stability and transition. Ann. Rev. Fluid Mech. 8, 311–349.Google Scholar

Reshotko, E. (1984). Environment and receptivity. AGARD-R-709.Google Scholar

Reynolds, O. (1883). An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels. Phil. Trans. R. Soc. London 34, 84–99. (Reprinted in Scientific Papers, J.W. Strutt (ed). Cambridge University Press, Vol. 2, 51–105.)Google Scholar

Reynolds, W.C. & Potter, M.C. (1967). Finite amplitude instability of parallel shear flows. J. Fluid Mech. 27, 465–492.Google Scholar

Romanov, V.A. (1973). Stability of plane-parallel Couette flow. Funkcional Anal. i Prolozen 7(2), 62–73. (Translation: Functional Anal. & Its Applications 7, 137–146, 1973.)Google Scholar

Rozendaal, R.A. (1986). Natural laminar flow flight experiments on a swept wing business jet: Boundary layer stability analyses. NASA CR-3975.Google Scholar

Salwen, H. & Grosch, C.E. (1981). The continuous spectrum of the Orr–Sommerfeld equation. Part 2. Eigenfunction expansions. J. Fluid Mech. 104, 445–465.Google Scholar

Sandham, N.D. & Reynolds, W.C. (1990). Compressible mixing layer: Linear theory and direct simulation. AIAA J. 28(4), 618–624.Google Scholar

Saric, W.S. (1994a). Görtler vortices. Ann. Rev. Fluid Mech. 26, 379–409.Google Scholar

Saric, W.S. (1994b) Low speed boundary layer transition experiments. In Transition: Experiments, Theory, and Computations, Corke, T.C., Erlebacher, G. & Hussaini, M.Y. (eds). Oxford University Press.Google Scholar

Saric, W.S. (2008). Flight experiments on local and global effects of surface roughness on 2-D and 3-D boundary-layer stability and transition. Final Report AFOSR Grant FA9550–05–1–0044.Google Scholar

Saric, W.S., Hoos, J.A. & Radeztsky, R.H. (1991). Boundary layer receptivity of sound with roughness. In Boundary Layer Stability and Transition to Turbulence, Reda, D.C., Reed, H.L. & Kobayashi, R.K. (eds). ASME FED 114, 17–22.Google Scholar

Schlichting, H. (1932). Über die stabilität der Couette-strömung. Ann. Physik (Leipzig) 14, 905–936.Google Scholar

Schlichting, H. (1933a). Zur entstehung der turbulenz bei der Plattenströmung, Mathematisch–Physikalische Klasse, Gessellschaft der Wissenschaften, Göttingen, 181–208.Google Scholar

Schlichting, H. (1933b). Berechnung der anfachung kleiner Störungen bei der Plattenströmung. Zeitschrift für Angewandte Mathematik und Mechanik 13(3), 171–174.Google Scholar

Schlichting, H. (1933c). Laminar spread of a jet. Zeitschrift für Angewandte Mathematik und Mechanik 13(4), 260–263.Google Scholar

Schlichting, H. (1934). Neuere untersuchungen über die turbulenzenstehung. Naturwiss. 22, 376–381.Google Scholar

Schlichting, H. (1935). Amplitudenverteilung und Energiebilanz der kleinen Störungen bei der Plattengrenzschicht. Gesellschaft der Wissenschatten. Göttingen. Mathematisch-Naturwissenschattliche Klasse 1, 47–78.Google Scholar

Schmid, P.J. & Henningson, D.S. (1992a). Channel flow transition induced by a pair of oblique waves. In Instability, Transition, and Turbulence, Hussaini, M.Y., Kumar, A. & Streett, C.L. (eds). Springer, 356–366.Google Scholar

Schmid, P.J. & Henningson, D.S. (1992b). A new mechanism for rapid transition involving a pair of oblique waves. Phys. Fluids A 4(9), 1986–1989.Google Scholar

Schrauf, G., Bieler, H. & Thiede, P. (1992). Transition prediction – the Deutsche Airbus view. In First European Forum on Laminar Flow Technology, Hamburg, Germany, March 16–18, 1992, 73–81.Google Scholar

Schreivogel, P. (2010). Detection of laminar-turbulent transition in a free-flight experiment using thermography and hot-film anemometry. In 21st International Congress of the Aeronautical Sciences, ICAS2010, 1–8.Google Scholar

Schubauer, G.B. & Skramstad, H.K. (1943). Laminar boundary layer oscillations and transition on a flat plate. NACA TR-909.Google Scholar

Schubauer, G.B. & Skramstad, H.K. (1947). Laminar boundary layer oscillations and stability of laminar flow. J. Aeron. Sci. 14(2), 69–78.Google Scholar

Schubauer, G.B. & Klebanoff, P.S. (1955). Contributions on the mechanics of boundary-layer transition. NACA TN-3489.Google Scholar

Schubauer, G.B. & Klebanoff, P.S. (1956). Contributions on the mechanics of boundary-layer transition. NACA Rep. 1289.Google Scholar

Shanthini, R. (1989). Degeneracies of the temporal Orr–Sommerfeld eigenmodes in plane Poiseuille flow. J. Fluid Mech. 201, 13–34.Google Scholar

Shen, S.F. (1952). On the boundary layer equations in hypersonic flow. J. Aeron. Sci. 19, 500–501.Google Scholar

Shin, D.S. & Ferziger, J.H. (1991). Linear stability of the reacting mixing layer. AIAA J. 29(10), 1634–1642.Google Scholar

Shin, D.S. & Ferziger, J.H. (1993). Linear stability of the confined compressible reacting mixing layer. AIAA J. 31(3), 571–577.Google Scholar

Shivamoggi, B.K. (1977). Inviscid theory of stability of parallel compressible flows. J. de Mecanique 16(2), 227–255.Google Scholar

Shivamoggi, B.K. (1979). Effects of compressibility upon the stability characteristics of a free shear layer. Z. Angew. Math. Mech. 59, 405–415.Google Scholar

Shivamoggi, B.K. & Rollins, D.K. (2001). Linear stability theory of zonal shear flows with a free surface. Geophys. Astrophys. Fluid Dyn. 95(1–2), 31–53.Google Scholar

Singer, B.A., Choudhari, M. & Li, F. (1995). Weakly nonparallel and curvature effects on stationary crossflow instability: Comparison of results from multiple scales analysis and parabolized stability theory. NASA CR-198200.Google Scholar

Sivashinsky, G. (1977). Nonlinear analysis of hydrodynamic instability in laminar flames. Part I. Derivation of basic equations. Acta Astronaut. 4, 1117–1206.Google Scholar

Smagorinsky, J. (1963). General circulation experiments with the primitive equations. I. The basic experiment. Mon. Weather Rev. 91, 99–164.Google Scholar

Smith, A.M.O. (1953). Review of research on laminar boundary layer control at the Douglas Aircraft Company El Segundo Division. Douglas Aircraft Co. Rep. No. ES-19475, June.Google Scholar

Smith, A.M.O. (1955). On the growth of Taylor–Görtler vortices along highly concave walls. Quart. Appl. Math. 13, 233–262.Google Scholar

Smith, A.M.O. (1956). Transition, pressure gradient, and stability theory. International Congress on Applied Mechanics, Brussels, Belgium, 234–244.Google Scholar

Smith, A.M.O. & Gamberoni, N. (1956). Transition, pressure gradient, and stability theory. Douglas Aircraft Company Rep. ES-26388.Google Scholar

Smith, B.A. (1996). Laminar flow data evaluated. Aviation Week & Space Tech., October 7, 1996.Google Scholar

Smith, F.T. & Brown, S.N. (1990). The inviscid instability of a Blasius boundary layer at large values of the Mach number. J. Fluid Mech. 219, 499–518.Google Scholar

Smol’yakov, A.V. & Tkachenko, V.M. (1983). The Measurement of Turbulent Fluctuations. An Introduction to Hot-Wire Anemometry and Related Transducers. Springer.Google Scholar

Sommerfeld, A. (1908). Ein beitraz zur hydrodynamischen erklaerung der turbulenten fluessigkeitsbewegungen. In Proc. Fourth Inter. Congr. Mathematicians, Rome, Italy, 116–124.Google Scholar

Spalart, P.R. (1989). Direct numerical study of leading-edge contamination. In Fluid Dynamics of Three-Dimensional Turbulent Shear Flows and Transition. AGARD-CP-438, 5.1–5.13.Google Scholar

Spalart, P.R. (1990). Direct numerical study of cross-flow instability. In IUTAM Symposium on Laminar–Turbulent Transition, Arnal, D. & Michel, R. (eds). Springer, 621–630.Google Scholar

Spalart, P.R. & Yang, K.S. (1987). Numerical study of ribbon-induced transition in Blasius flow. J. Fluid Mech. 178, 345–365.Google Scholar

Spooner, G.F. (1980). Fluctuations in geophysical boundary layers. PhD Dissertation, Department of Oceanography, University of Washington.Google Scholar

Spooner, G.F. & Criminale, W.O. (1982). The evolution of disturbances in an Ekman boundary layer. J. Fluid Mech. 115, 327–346.Google Scholar

Squire, H.B. (1933). On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls. Proc. R. Soc. London Ser. A. 142, 621–628.Google Scholar

Srokowski, A.J. & Orszag, S.A. (1977). Mass flow requirements for LFC wing design. AIAA Paper 77–1222.Google Scholar

Streett, C.L. & Macaraeg, M.G. (1989). Spectral multi-domain for large-scale fluid dynamics simulations. Appl. Num. Math. 6, 123–140.Google Scholar

Streett, C.L. & Hussaini, M.Y. (1991). A numerical simulation of the appearance of chaos in finite-length Taylor–Couette flow. Appl. Num. Math. 7, 41–71.Google Scholar

Stuart, J.T. (1960). On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. J. Fluid Mech. 9, 353–370.Google Scholar

Swearingen, J.D. & Blackwelder, R.F. (1986). Spacing of streamwise vortices on concave walls. AIAA J. 24, 1706–1709.Google Scholar

Swearingen, J.D. & Blackwelder, R.F. (1987). The growth and breakdown of streamwise vortices in the presence of a wall. J. Fluid Mech. 182, 255–290.Google Scholar

Synge, J.L. (1938). Hydrodynamic stability. Semicentennial Publ. Amer. Math. Soc. 2, 227–269.Google Scholar

Tadjfar, M. & Bodonyi, R.J. (1992). Receptivity of a laminar boundary layer to the interaction of a three-dimensional roughness element with time-harmonic free-stream disturbances. J. Fluid Mech. 242, 701–720.Google Scholar

Tam, C.K.W. & Hu, F.Q. (1989). The instability and acoustic wave modes of supersonic mixing layers inside a rectangular channel. J. Fluid Mech. 203, 51–76.Google Scholar

Tatsumi, T. (1952). Stability of the laminar inlet flow prior to the formation of Poiseuille region. J. Phys. Soc. Japan 7, 489–502.Google Scholar

Tatsumi, T. & Kakutani, T. (1958). The stability of a two dimensional jet. J. Fluid Mech. 4, 261–275.Google Scholar

Taylor, G.I. (1921). Experiments with rotating fluids. Proc. Camb. Phil. Soc. 20, 326–329.Google Scholar

Taylor, G.I. (1923). Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. R. Soc. London Ser. A 223, 289–343.Google Scholar

Theofilis, V., Fedorov, A., Obrist, D. & Dallmann, U. (2003). The extended Görtler– Hammerlin model for linear instability of three-dimensional incompressible swept attachment-line boundary layer flow. J. Fluid Mech. 487, 271–313.Google Scholar

Thomas, A.S.W. (1983). The control of boundary-layer transition using a wave-superposition principle. J. Fluid Mech. 137, 233–250.Google Scholar

Thomas, R.H., Choudhari, M.M. & Joslin, R.D. (2002). Flow and noise control: Review and assessment of future directions. NASA TM-2002–211631.Google Scholar

Tietjens, O. (1925). Beiträge zur entsehung der turbulenz. Zeitschrift für Angewandte Mathematik und Mechanik 5, 200–217.Google Scholar

Ting, L. (1959). On the mixing of two parallel streams. J. Math. Phys. 28, 153–165.Google Scholar

Tollmien, W. (1929). Über die Entstehung der Turbulenz. Mathematisch– Naturwissenschaftliche Klasse. Nachrichten, Gesellschaft der Wissenschaften, Göttingen, 21–44. (Translation: The production of turbulence. NACA TM-609, 1931.)Google Scholar

Tollmien, W. (1935). Ein allgemeines Kriterium der Instabilität laminarer Geschwindigkeitsverteilungen. Nachr. Wiss. Fachgruppe, Göttingen, Math. phys. 1, 79–114. (Translation: General instability criterion of laminar velocity disturbances. NACA TM 792, 1936.)Google Scholar

Tung, K.K. (1981). Barotropic instability of zonal flows. J. Atmospheric Sci. 38, 308–321.Google Scholar

Vallikivi, M., Hultmark, M., Bailey, S.C.C. & Smits, A.J. (2011). Turbulence measurements in pipe flow using a nano-scale thermal anemometry probe. Exp. Fluids 51(6), 1521–1527.Google Scholar

van Dyke, M. (1975). Perturbation Methods in Fluid Mechanics. Annotated edition. The Parabolic Press.Google Scholar

van Dyke, M. (1982). An Album of Fluid Motion. The Parabolic Press.Google Scholar

van Ingen, J.L. (1956). A suggested semi-empirical method for the calculation of the boundary layer transition region. University of Delft Rep. VTH-74, Delft, The Netherlands.Google Scholar

Vasilyev, O.V. (2000). High order finite difference schemes on non-uniform meshes with good conservation properties. J. Comp. Phys. 157, 746–761.Google Scholar

Vijgen, P.M.H.W., Dodbele, S.S., Holmes, B.J. & van Dam, C.P. (1986). Effects of compressibility on design of subsonic natural laminar flow fuselages. AIAA 4th Applied Aerodynamics Conference, June 9–11, 1986, San Diego, CA. AIAA Paper 86–1825CP.Google Scholar

von Karman, T. (1921). Über laminare und turbulente Reibung. Zeitschrift für Angewandte Mathematik und Mechanik 1, 233–252.Google Scholar

Von Mises, R. & Friedrichs, K.O. (1971). Fluid Dynamics. Springer.Google Scholar

Warren, E.S. & Hassan, H.A. (1996). An alternative to the eN method for determining onset of transition. AIAA 35th Aerospace Sciences Meeting & Exhibit, January 6–10, 1997, Reno, NV. AIAA Paper 96–0825.Google Scholar

Warren, E.S. & Hassan, H.A. (1997). A transition closure model for predicting transition onset. SAE/AIAA World Aviation Congress & Exposition 97, Anaheim, CA. Paper 97WAC-121.Google Scholar

Watson, J. (1960). On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 2. J. Fluid Mech. 9, 371–389.Google Scholar

Wazzan, A.R., Okamura, T. & Smith, A.M.O. (1966). Spatial stability study of some Falkner–Skan similarity profiles. Fifth U.S. National Congress on Applied Mechanics, ASME University of Minnesota, 836.Google Scholar

Wazzan, A.R., Okamura, T. & Smith, A.M.O. (1968). Spatial and temporal stability charts for the Falkner–Skan boundary layer profiles. Report No. DAC-67086, McDonnell–Douglas Aircraft Co., Long Beach, CA.Google Scholar

Werlé, H. (1974). Le tunnel hydrodynamique au service de la recherche Aérospatiale. ONERA No. 156.Google Scholar

White, F.M. (1974). Viscous Fluid Flow. McGraw-Hill.Google Scholar

Wiegel, M. & Wlezien, R.W. (1993). Acoustic receptivity of laminar boundary layers over wavy walls. AIAA Paper 93–3280.Google Scholar

Wilkinson, S.P. & Malik, M.R. (1985) Stability experiments in the flow over a rotating disk. AIAA J. 21, 588–595.Google Scholar

Williamson, C.H.K. (1996). Vortex dynamics in the cylinder wake. Ann. Rev. Fluid Mech. 28, 477–539.Google Scholar

Williamson, J.H. (1980). Low storage Runge–Kutta schemes. J. Comput. Phys. 35(1), 48–56.Google Scholar

Willis, G.J.K. (1986). Hydrodynamic stability of boundary layers over compliant surfaces. PhD Thesis, University of Exeter.Google Scholar

Winoto, S.H., Zhang, D.H. & Chew, Y.T. (2000). Transition in boundary layers on a concave surface. J. Prop. & Power 16(4), 653–660.Google Scholar

Witting, H. (1958). Über den Einfluss der Stromlinienkrummung auf die Stabilität laminarer Stromungen. Arch. Rat. Mech. Anal. 2, 243–283.Google Scholar

Wray, A. & Hussaini, M.Y. (1984). Numerical experiments in boundary layer stability. Proc. R. Soc. London Ser. A 392, 373–389.Google Scholar

Yeo, K.S. (1986). The stability of flow over flexible surfaces. PhD Thesis, University of Cambridge.Google Scholar

Zang, T.A. (1991). On the rotation and skew-symmetric forms for incompressible flow simulations. Appl. Num. Math. 7, 27–40.Google Scholar

Zang, T.A. & Hussaini, M.Y. (1987). Numerical simulation of nonlinear interactions in channel and boundary layer transition. In Nonlinear Wave Interactions in Fluids, Miksad, R.W., Akylas, T.R., Herbert, T. (eds). New York: ASME, AMD-87, 131–145.Google Scholar

Zang, T.A. & Hussaini, M.Y. (1990). Multiple paths to subharmonic laminar breakdown in a boundary layer. Phys. Rev. Lett. 64, 641–644.Google Scholar

Zhuang, M., Kubota, T. & Dimotakis, P.E. (1988). On the instability of inviscid, compressible free shear layers. AIAA Paper 88–3538.Google Scholar

Zhuang, M., Kubota, T. & Dimotakis, P.E. (1990a). Instability of inviscid, compressible free shear layers. AIAA J. 28(10), 1728–1733.Google Scholar

Zhuang, M., Kubota, T. & Dimotakis, P.E. (1990b). The effect of walls on a spatially growing supersonic shear layer. Phys. Fluids A 2(4), 599–604.Google Scholar

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