Hostname: page-component-6bb9c88b65-bcq64 Total loading time: 0 Render date: 2025-07-24T05:14:26.488Z Has data issue: false hasContentIssue false
  • English
  • Français

Velocity and vorticity distributions in periodic separating laminar flow

Published online by Cambridge University Press:  21 April 2006

D. S. Mathioulakis  and
D. P. Telionis
D. S. Mathioulakis
Affiliation:
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA
D. P. Telionis
Affiliation:
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Steady and unsteady velocity components over a backward-facing circular arc are measured by laser-Doppler velocimetry. A periodic disturbance is added to the mean flow and the response of unsteady separation is investigated. Special attention is given to the distribution and the flux of vorticity.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 184 , November 1987 , pp. 303 - 333
Copyright
© 1987 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Arena, A. V. & Mueller, T. J. 1978 Visualization of separation and subsequent transition near the leading edge of an airfoil. NASA Conf. 2045, Part 2, Paper 35.
Bernal, L. P. 1981 The coherent structure of turbulent mixing layers. I. Similarity of the primary vortex structure. II. Secondary streamwise vortex structure. Ph.D. Thesis, California Institute of Technology, Pasadena, CA.
Birkhoff, G. 1953 Formation of vortex streets. J. Appl. Phys. 24, 98–103.Google Scholar
Carr, L. W., McAlister, K. W. & McCroskey, W. J. 1977 Analysis of the development of dynamic stall based on oscillating airfoil experiments. NASA Tech. Note D-8382.
Clements, R. R. 1973 An inviscid model of two-dimensional vortex shedding. J. Fluid Mech. 57, 321–336.Google Scholar
Cousteix, J. 1986 Three-dimensional and unsteady boundary-layer computations. Ann. Rev. Fluid Mech. 18, 173–196.Google Scholar
Despard, R. A. & Miller, J. A. 1971 Separation in oscillating boundary-layer flows. J. Fluid Mech. 47, 21–31.Google Scholar
Didden, N. & Ho, C.-M. 1985 Unsteady separation in a boundary layer produced by an impinging jet. J. Fluid Mech. 160, 235–256.Google Scholar
Dryden, H. L. & Abbott, I. H. 1948 The design of low-turbulence wind tunnels. NACA Tech. Note 1755.
Fage, A. & Johansen, F. C. 1927 The flow of air behind an inclined flat plate of infinite span. Aero. Res. Counc. R & M 1104, 81–106.Google Scholar
Gerrard, J. H. 1978 The wakes of cylindrical bluff bodies at low Reynolds number. Phil. Trans. R. Soc. Lond. A 288, 351–382.Google Scholar
Hall, P. & Smith, F. T. 1984 On the effects of nonparallelism, three dimensionality, and more interaction on nonlinear boundary-layer stability. Stud. Appl. Maths 70, 91–120.Google Scholar
Ho, C.-M. & Huerre, P. 1984 Perturbed free-shear layers. Ann. Rev. Fluid Mech. 16, 365–424.Google Scholar
Konrad, J. H. 1976 An experimental investigation of mixing in two-dimensional turbulent shear flows with applications to diffusion-limited chemical reactions. Project SQUID Tech. Rep CIT-8-PU.
Koromilas, C. A. & Telionis, D. P. 1980 Unsteady laminar separation - an experimental study. J. Fluid Mech. 95, 347–384.Google Scholar
Lighthill, M. J. 1954 The response of laminar skin friction and heat transfer to fluctuations in the stream velocity. Proc. R. Soc., Lond. A 224, 1–23.Google Scholar
Loehrke, R. I. & Nagib, H. M. 1976 Control of free-stream turbulence by means of honeycombs: a balance between suppression and generation. Trans. ASME I: J. Fluids Engng 98, 343–353.Google Scholar
Ludwig, G. R. 1964 An experimental investigation of laminar separation from a moving wall. AIAA Paper 64–6.
Mathioulakis, D. S. 1985 Vorticity shedding over two-dimensional bodies. Ph.D. Thesis, Virginia Polytechnic Institute & State University.
Mathioulakis, D. S. & Telionis, D. P. 1985 Velocity and vorticity measurements around laminar separation. In Numerical and Physical Aspects of Aerodynamic Flows (ed. T. Cebeci), pp. 7.3–7.12. California State University
McCroskey, W. J. 1971 Dynamic stall on a helicopter rotor blade. Proc. SQUID Workshop, Atlanta (ed. F. J. Marshall), pp. 346–350.
McCroskey, W. J. 1977 Some current research in unsteady fluid dynamics - the 1976 Freeman Scholar Lecture. Trans. ASME I: J. Fluids Engng 99, 8–38.Google Scholar
Mezaris, T. B. & Telionis, D. P. 1980 Visualization and measurement of separating oscillatory laminar flow. AIAA Paper 80–1420.
Mezaris, T. B., Telionis, D. P., Barbi, C. & Jones, G. S. 1987 Separation and wake of pulsating laminar flow. Proc. R. Soc. Lond. (in press).Google Scholar
Michalke, A. 1965 On spatially growing disturbances in an inviscid shear layer. J. Fluid Mech. 23, 521–544.Google Scholar
Moore, F. K. 1958 On the separation of the unsteady boundary layer. In Boundary Layer Research of two-dimensional bluff bodies. NACA Tech. Note 3169. (ed. H. Grtler), pp. 296–310. Springer.
Roshko, A. 1953 On the development of turbulent wakes from vortex streets. NACA Tech. Note 2913.
Rott, N. 1956 Unsteady viscous flow in the vicinity of a stagnation point. Q. Appl. Maths 13, 444–451.Google Scholar
Ruiter, G. H., Nagib, H. M. & Fejer, A. A. 1971 Unsteady boundary-layer separation over oscillating airfoils. Proc. SQUID Workshop, Atlanta (ed. F. J. Marshall) pp. 423–425.
Saffman, P. G. & Schatzman, J. C. 1982 An inviscid model for the vortex-street wake. J. Fluid Mech. 122, 467–486.Google Scholar
Sarpkaya, T. 1975 An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined plate. J. Fluid Mech. 68, 109–128.Google Scholar
Schraub, F. A., Kline, S. J., Henry, J., Runstadler, P. W. & Littel, A. 1965 Use of hydrogen bubbles for quantitative determination of time dependent velocity fields in low-speed water flows. Trans. ASME D: J. Basic Engng 87, 429–444.Google Scholar
Schubauer, G. B., Spangenberg, W. G. & Klebanoff, P. S. 1948 Aerodynamic characteristics of damping screens. NASA Tech. Note 2001.
Sears, W. R. 1956 Some recent developments in airfoil theory. J. Aero. Sci. 23, 490–499.Google Scholar
Sears, W. R. & Telionis, D. P. 1975 Boundary-layer separation in unsteady flow. SIAM J. Appl. Maths 28, 215–235.Google Scholar
Shen, S. F. 1978 Unsteady separation according to the boundary-layer equation. Adv. Appl. Mech. 18, 177–220.Google Scholar
Simpson, R. L. 1981 A review of some phenomena in turbulent flow separation. Trans. ASME I: J. Fluids Engng 103, 20–33.Google Scholar
Smith, F. T. 1985 Nonlinear effects and non-parallel flows; the collapse of separating motion. United Technologies Research Center, Engng Rep. UTRC85–55.
Smith, F. T. 1986 Steady and unsteady boundary-layer separation. Ann. Rev. Fluid Mech. 18, 197–220.Google Scholar
Stewartson, K. 1974 Multi-structured boundary layers on flat plates and related bodies. Adv. Appl. Mech. 14, 145–239.Google Scholar
Tan-Atichat, J., Nagib, H. M. & Loehrke, R. I. 1982 Interaction of free-stream turbulence with screens and grids: a balance between turbulence scales. J. Fluid Mech. 114, 501–528.Google Scholar
Telionis, D. P. 1979 Review-unsteady boundary layers, separated and attached. Trans. ASME I: J. Fluids Engng 101, 29–43.Google Scholar
Telionis, D. P. & Koromilas, C. P. 1978 Flow visualization of transient and oscillatory separating laminar flows. In Nonsteady Fluid Dynamics (ed. D. E. Crow & J. A. Miller), pp. 21–32. ASME.
Telionis, D. P. & Mathioulakis, D. S. 1984 On the shedding of vorticity at separation. In Unsteady Separated Flows (ed. M. W. Luttges), pp. 106–116. AFOSR, SRL, University of Colorado.
Telionis, D. P., Mathioulakis, D. S., Kim, B. K. & Jones, G. J. 1986 Calibration of the ESM Water Tunnel. VPI & SU Eng. Rep. VPI-E-86-23.
Telionis, D. P. & Romaniuk, M. S. 1978 Velocity and temperature streaming in oscillating boundary layers. AIAA. J. 16, 488–495.Google Scholar
Tsahalis, D. Th. & Telionis, D. P. 1974 Oscillating laminar boundary layers and unsteady separation. AIAA J. 12, 1469–1475.Google Scholar
Varty, R. L. & Cuerie, I. G. 1984 Measurements near a laminar separation point. J. Fluid Mech. 138, 1–19.Google Scholar
Vidal, J. R. 1959 Research on rotating stall in axial-flow compressors, part III. WADC TR-59–75.
Wei, T. & Smith, C. R. 1986 Secondary vortices in the wake of circular cylinders. J. Fluid Mech. 169, 513–533.Google Scholar
Wérlé, H. 1973 Hydrodynamic flow visualization. Ann. Rev. Fluid Mech. 5, 361–382.Google Scholar
Wigeland, R. A., Ahmed, M. & Nagib, H. M. 1978 Management of swirling flows with application to wind tunnel design. AIAA J. 16, 1125–1131.Google Scholar
Williams, J. C. 1977 Incompressible boundary layer separation. Ann. Rev. Fluid Mech. 9, 113–144.Google Scholar
Winkelmann, A. E. & Barlow, J. B. 1980 Flowfield model for a rectangular planform wing beyond stall. AIAA J. 18, 1006–1008.Google Scholar
Winkelmann, A. E., Ngo, H. T. & DeSaife, R. C. 1982 Some observation of separating flow on finite wing. AIAA Paper 82–0346.