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An analysis of second-order effects on laminar boundary-layer flow

Published online by Cambridge University Press:  28 March 2006

M. Honda  and
Y. Kiyokawa
M. Honda
Affiliation:
Institute of High Speed Mechanics, Töhoku University, Sendai, Japan
Y. Kiyokawa
Affiliation:
Institute of High Speed Mechanics, Töhoku University, Sendai, Japan
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Abstract

Treated in the present paper are the second-order effects, i.e. the effect of displacement thickness, longitudinal curvature, external shear and slip, on the two-dimensional laminar boundary-layer flow of incompressible fluid. The analysis is developed in terms of the stream-function co-ordinates proposed for the analysis of the rotational flow by the senior author previously. An inverse problem is set in the co-ordinates plane, and, within the framework of the second-order approximation, the problem is reduced to solving a parabolic partial differential equation for the total head. An implicit finite-difference scheme is then devised to solve the equation, and the practical computations are carried out for the flow along a flat plate or the one around a parabolic body, by making use of an electronic computer.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 1 , 16 January 1969 , pp. 145 - 169
Copyright
© 1969 Cambridge University Press

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References

Blottner, F. G. & Flügge-Lotz, I. 1963 J. Mécanique, 2, 397.
Catherall, D. & Mangler, K. W. 1966 J. Fluid Mech. 26, 163.
Davis, R. T. & Flügge-Lotz, I. 1964 J. Fluid Mech. 20, 593.
Fannelöp, T. K. & Flügge-Lotz, I. 1966 J. Mécanique, 5, 69.
Glauert, M. B. 1957 J. Aero. Sci. 24, 848.
Görtler, H. 1957 J. Math. Mech. 6, 1.
Honda, M. 1965 J. Inst. Math. Appl. 1, 127.
Honda, M. 1966 J. Inst. Math. Appl. 2, 55.
Howarth, L. 1938 Proc. Roy. Soc. A, 164, 547.
Kármán, Th. V. & Millikan, C. B. 1934 Rep. Nat. Adv. Comm. Aero., Wash. no. 504.
Kobayashi, R. 1958 Proc. 8th Japan Nat. Cong. Appl. Mech. p. 279.
Krause, E. 1967 AIAA J. 5, 1231.
Laurmann, J. A. 1961 J. Fluid Mech. 11, 82.
Mark, R. M. 1962 J. Fluid Mech. 14, 452.
Murphy, J. S. 1965 AIAA J. 3, 2043.
Murray, J. D. 1965 J. Fluid Mech. 22, 463.
Rosenhead, L. (ed.) 1963 Laminar Boundary Layers. Oxford: Clarendon Press.
Schultz-Grunow, F. & Breuer, W. 1965 Basic Developments in Fluid Dynamics. M. Holt, ed., vol. 1. New York and London: Academic Press.
Smith, A. M. O. & Clutter, D. W. 1963 AIAA J. 1, 2062.
Smith, A. M. O. & Clutter, D. W. 1965 AIAA J. 3, 639.
Van Dyke, M. 1962a J. Fluid Mech. 14, 161.
Van Dyke, M. 1962b J. Fluid Mech. 14, 481.
Van Dyke, M. 1964a Perturbation Methods in Fluid Mechanics. New York and London: Academic Press.
Van Dyke, M. 1964b J. Fluid Mech. 19, 145.
Werle, M. J. & Davis, R. T. 1966 Int. J. Engng Sci. 4, 423.