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Airfoils with separation and the resulting wakes

Published online by Cambridge University Press:  21 April 2006

Tuncer Cebeci ,
R. W. Clark ,
K. C. Chang ,
N. D. Halsey  and
K. Lee
Tuncer Cebeci
Affiliation:
Mechanical Engineering Department, California State University, Long Beach, California
R. W. Clark
Affiliation:
Research and Technology, Douglas Aircraft Company, Long Beach, California
K. C. Chang
Affiliation:
Research and Technology, Douglas Aircraft Company, Long Beach, California
N. D. Halsey
Affiliation:
Research and Technology, Douglas Aircraft Company, Long Beach, California
K. Lee
Affiliation:
Mechanical Engineering Department, California State University, Long Beach, California
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Abstract

A viscous/inviscid interaction method is described and has been used to calculate flows around four distinctly different airfoils as a function of angle of attack. It comprises an inviscid-flow method based on conformal mapping, a boundary-layer procedure based on the numerical solution of differential equations and an algebraic eddy viscosity. The results are in close agreement with experiment up to angles close to stall. In one case, where the airfoil thickness is large, small difficulties were experienced and are described. The method is shown to be capable of obtaining results with large flow separation and quantifies the role of transition on the lift coefficient.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 163 , February 1986 , pp. 323 - 347
Copyright
© 1986 Cambridge University Press

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References

Abbott, J. H. & Von Doenhoff, A. E. 1959 Theory of Wing Sections. Dover.
AGARD 1981 Computation of viscous—inviscid interactions. AGARD CP-291.
Bradshaw, P., Cebeci, T. & Whitelaw, J. H. 1981 Engineering Calculation Methods for Turbulent Flows. Academic.
Briley, W. E. & McDonald, H. 1975 Numerical prediction of incompressible separation bubbles. J. Fluid Mech. 69, 631.Google Scholar
Burgraff, O. R. 1974 Comparative study of turbulent models for boundary layers and wakes. Aero. Res. Lab. 74–0031.Google Scholar
Carter, J. E. 1979 A new boundary-layer inviscid iteration technique for separated flow. AIAA Paper 75–1450.Google Scholar
Carter, J. E. 1981 Viscous—inviscid interaction analysis of transonic turbulent separated flow. AIAA Paper 81–1241.Google Scholar
Cebeci, T. 1976 Separated flows and their representation by boundary-layer equations. Mech. Engng Dept Rep. ONR-CR215-234–2, California State University, Long Beach.
Cebeci, T. (ed.) 1984 Numerical and Physical Aspects of Aerodynamic Flows, vol. II. Springer.
Cebeci, T. & Bradshaw, P. 1977 Momentum Transfer in Boundary Layers. Hemisphere.
Cebeci, T., Chen, L. T. & Chang, K. C. 1986 An interactive scheme for three-dimensional transonic flows. In Numerical and Physical Aspects of Aerodynamic Flows, vol. III (ed. T. Cebeci), Springer.
Cebeci, T. & Clark, R. W. 1984 An interactive approach to subsonic flows with separation. In Numerical and Physical Aspects of Aerodynamic Flows, vol. II (ed. T. Cebeci), p. 194. Springer.
Cebeci, T., Clark, R. W. & Chang, K. C. 1986 On the solution of transonic flows with viscous effects (to be published).
Cebeci, T. & Meier, H. U. 1979 Modelling requirements for the calculation of the turbulent flow around airfoils, wings and bodies of revolution. AGARD CP 271, Paper 16.Google Scholar
Cebeci, T. & Schimke, S. M. 1983 The calculation of separation bubbles in interactive turbulent boundary layers. J. Fluid Mech. 131, 305.Google Scholar
Cebeci, T. & Smith, A. M. O. 1974 Analysis of Turbulent Boundary Layers. Academic.
Cebeci, T., Stewartson, K. & Williams, P. G. 1981 Separation and reattachment near the leading edge of a thin airfoil at incidence. AGARD CP 291, Paper 20.Google Scholar
Chang, K. C., Bui, M. N., Cebeci, T. & Whitelaw, J. H. 1984 The calculation of turbulent wakes. Mech. Engng Dept Rep. ME-84–3. California State University, Long Beach.Google Scholar
Coles, D. & Wadcock, A. J. 1979 Flying-hot-wire study of flow past an NACA 4412 airfoil at maximum lift. AIAA J. 17, 321.Google Scholar
Crimi, P. & Reeves, B. L. 1976 Analysis of leading-edge separation bubble on airfoils. AIAA J. 14, 1548.Google Scholar
Davis, R. L. & Carter, J. E. 1984 Analysis of airfoil transitional separation bubbles. AIAA Paper 84–1613.Google Scholar
Gleyzes, C., Cousteix, J. & Bonnet, J. L. 1984 A calculation method of leading edge separation bubbles. In Numerical and Physical Aspects of Aerodynamic Flows, vol. II (ed. T. Cebeci), p. 173. Springer.
Halsey, N. D. 1979 Potential flow analysis of multielement airfoils using conformal mapping. AIAA J. 17, 1281.Google Scholar
Head, M. R. 1976 Eddy viscosity in turbulent boundary layers. Aero. Quart. 27, 270.Google Scholar
Kwon, O. K. & Pletcher, R. H. 1979 Prediction of incompressible separated boundary layers including viscous—inviscid interaction. Trans. ASME I: J. Fluids Engng 101, 466Google Scholar
Leballeur, J. C. 1978 Couplage visqueux—non-visquex: MeAthode numeArique et applications aux eAcoulements bidimensionnels transsoniques et supersoniques. La Recherche AeArospatiale, no. 1978–2, p. 65.Google Scholar
McDonald, H. & Fish, R. W. 1973 Practical calculation of transitional boundary layers. Intl J. Heat Mass Transfer 16, 1729.Google Scholar
McDonald, H. & Kreskovsky, J. P. 1974 Effect of free stream turbulence on the turbulent boundary layer. Intl J. Heat Mass Transfer 17, 705.Google Scholar
McGhee, R. J. & Beasley, W. D. 1973 Low-speed aerodynamic characteristics of a 17-percent thick airfoil section design for general aviation applications. NASA TN D-7428.Google Scholar
McGhee, R. J., Beasley, W. D. & Somers, D. M. 1977 Low-speed aerodynamic characteristics of a 13-percent thick airfoil section designed for general aviation applications. NASA TMX 72697.Google Scholar
Mehta, U., Chang, K. & Cebeci, T. 1986 A comparison of interactive boundary layer and thin-layer Navier—Stokes procedures. In Numerical and Physical Aspects of Aerodynamic Flows, vol. III (ed. T. Cebeci). Springer.
Melnik, R. E. & Brook, J. W. 1986 The computation of viscous/inviscid interaction on airfoils with separated flow. In Numerical and Physical Aspects of Aerodynamic Flows, vol. III (ed. T. Cebeci). Springer.
Michel, R. 1951 Etude de la transition sur les profiles d'aile; eAtablissement d'un criteGre de deAtermination de point de transition et calcul de la traineAe de profile incompressible. ONERA Rep. 1/1578A.Google Scholar
Nakayama, A. 1982 Measurements in the boundary layer and wake of two airfoil models. Douglas Aircraft Co. Rep. No. MDC J2403. Long Beach, CA.Google Scholar
Narasimha, R. & Prabhu, A. 1972 Equilibrium and relaxation in turbulent wakes. J. Fluid Mech. 54,1.Google Scholar
Nituch, M. J., Sjolander, S. & Head, M. R. 1978 An improved version of the Cebeci—Smith eddy-viscosity model. Aero. Quart. 29, 207.Google Scholar
Patel, V. C. & Scheuerer, G. 1982 Calculation of two-dimensional near and far wake. AIAA J. 20, 900.Google Scholar
Rodi, W. 1975 A review of experimental data for uniform-density free turbulent boundary layers. In Studies in Convection, vol. 1 (ed. B. E. Launder). Academic.
Simpson, R. L., Chew, Y. T. & Shivafrasad, B. G. 1981 The structure of a separating turbulent boundary layer. Part I. Mean flow and Reynolds stresses. J. Fluid Mech. 113, 23.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Veldman, A. E. P. 1981 New quasi-simultaneous method to calculate interacting boundary layers. AIAA J. 19, 769.Google Scholar
Wadcock, A. J. 1978 Flying-hot-wire study of two-dimensional turbulent separation on an NACA 4412 airfoil at maximum lift. Ph.D. thesis, California Institute of Technology, Pasadena, CA