Oseen flow of a compressible fluid past a flat plate
Author:
Dorel Homentcovschi
Journal:
Quart. Appl. Math. 39 (1981), 221-237
MSC:
Primary 76G99; Secondary 76N10
DOI:
https://doi.org/10.1090/qam/625470
MathSciNet review:
625470
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Abstract: The steady two-dimensional flow of a compressible fluid past a flat plate inclined to the uniform stream is studied on the basis of the Oseen approximation. The use of the momentum equations written in distributions allows us to obtain in a straight-forward fashion the integral equations of the skin friction and of the lift. These equations are integrated for various values of the Reynolds and Mach numbers. The values obtained for the lift in the limit case of the inviscid fluid coincide with those known in conventional aerodynamics for the subsonic and for supersonic flow.
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L. Bairstow, B. M. Cave and E. D. Lang, Phil. Trans. Roy. Soc. (London) A 223, 383 (1923)
L. Dragoş and N. Marcov, J. Mécanique 7, 379 (1968)
D. Homentcovschi, Arch. Mech 27, 325. (1975)
D. Homentcovschi, Bull. Math. Soc. Sci. Math. R.S.R. 19, 57(1976)
K. Kusukawa, J. Phys. Soc. Japan 19, 1031 (1964)
J. A. Levis and G. F. Carrier, Quart. Appl. Math. 7, 228 (1949)
T. Miyagi, J. Phys. Soc. Japan 19, 1063 (1964)
N. A. V. Piercy and H. F. Winny, Proc. Roy. Soc. A 140, 543 (1933)
R. Seebass, K. Tamada and T. Miyagi, Phys. Fluids 9, 1697 (1966)
L. Sirovich, Phys. Fluids 11, 1424 (1968)
K. Stewartson, Proc. Roy. Soc. A 277, 107 (1963)
K. Tamada and T. Miyagi, J. Phys. Soc. Japan 20, 454 (1965)
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Article copyright:
© Copyright 1981
American Mathematical Society
