Three-dimensional Oseen flow past a flat plate
Author:
Dorel Homentcovschi
Journal:
Quart. Appl. Math. 40 (1982), 137-149
MSC:
Primary 76D99
DOI:
https://doi.org/10.1090/qam/666670
MathSciNet review:
666670
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Abstract: On the basis of the Oseen approximation the three-dimensional flow of a viscous incompressible fluid past a flat plate is studied. A system of two integral equations for determining the drag and the lateral force on the plate and an integral equation for the lift are obtained. The paper gives the asymptotic form of the integral equation for the lift, for high Reynolds numbers. In the inviscid limit the integral equation of the lifting surface theory is obtained. Lifting line theory and slender wing theory in weak viscous flow are discussed. Viscosity corrections are given for some particular wings: elliptic wings of high aspect ratio and slender delta wings.
- I. M. Gel’fand and G. E. Shilov, Generalized functions. Vol. I: Properties and operations, Academic Press, New York-London, 1964. Translated by Eugene Saletan. MR 0166596
- D. Homentcovschi, On the deduction of Prandtl’s equation, Z. Angew. Math. Mech. 57 (1977), no. 2, 115–116. MR 459265, DOI https://doi.org/10.1002/zamm.19770570210
- Dorel Homentcovschi, Oseen flow of a compressible fluid past a flat plate, Quart. Appl. Math. 39 (1981/82), no. 2, 221–237. MR 625470, DOI https://doi.org/10.1090/S0033-569X-1981-0625470-X
- Ken-ichi Kusukawa, On the Kutta-Joukowski condition in magnetohydrodynamics, J. Phys. Soc. Japan 19 (1964), 1031–1041. MR 182270, DOI https://doi.org/10.1143/JPSJ.19.1031
- J. A. Lewis and G. F. Carrier, Some remarks on the flat plate boundary layer, Quart. Appl. Math. 7 (1949), 228–234. MR 34160, DOI https://doi.org/10.1090/S0033-569X-1949-34160-7
- M. J. Lighthill, Introduction to Fourier analysis and generalised functions, Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, New York, 1958. MR 0092119
- W. E. Olmstead and A. K. Gautesen, A new paradox in viscous hydrodynamics, Arch. Rational Mech. Anal. 29 (1968), no. 1, 58–65. MR 1553509, DOI https://doi.org/10.1007/BF00256458
L. Sirovich, Steady gasdynamic flows, Physics of Fluids 11, 1424–1439 (1968)
I. M. Gel’fand and G. E. Shilov, Generalized functions, Academic Press, New York and London, 1964
D. Homentcovschi, On the deduction of Prandtl’s equation, Z.A.M.M. 57, 115–116 (1977)
D. Homentcovschi, Oseen flow of a compressible fluid past a flat plate, Quart. Appl. Math. 39, 221 (1981)
K. Kusukawa, On the Kutta-Joukowski condition in magnetohydrodynamics, J. Phys. Soc. Japan 19, 1031–1041 (1964)
J. A. Levis and G. F. Carrier, Some remarks on the flat plate boundary layer, Quart. Appl. Math. 7, 228–235 (1949)
M. J. Lighthill, Introduction to Fourier analysis and generalised functions, University Press, Cambridge, 1958
W. E. Olmstead and A. K. Gautesen, A new paradox in viscous hydrodynamics, Arch. Rational Mech. Anal. 29, 58–65 (1968)
L. Sirovich, Steady gasdynamic flows, Physics of Fluids 11, 1424–1439 (1968)
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Article copyright:
© Copyright 1982
American Mathematical Society
