Asymptotic Analysis of Stability Problem of Plane Poiseuille Flow for High Reynolds Number

Wang Fa-min; Ng. Tiak Wan

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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(4): 317-326

Wang Fa-min, Ng. Tiak Wan. Asymptotic Analysis of Stability Problem of Plane Poiseuille Flow for High Reynolds Number[J]. Applied Mathematics and Mechanics, 1988, 9(4): 317-326.

Citation:

Wang Fa-min, Ng. Tiak Wan. Asymptotic Analysis of Stability Problem of Plane Poiseuille Flow for High Reynolds Number[J]. Applied Mathematics and Mechanics, 1988, 9(4): 317-326.

Citation:

Wang Fa-min, Ng. Tiak Wan. Asymptotic Analysis of Stability Problem of Plane Poiseuille Flow for High Reynolds Number[J]. Applied Mathematics and Mechanics, 1988, 9(4): 317-326.

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Asymptotic Analysis of Stability Problem of Plane Poiseuille Flow for High Reynolds Number

Wang Fa-min¹,
Ng. Tiak Wan²

1.
Institute of Mechanics, Academia Sinica, Beijing;
2.
National University of Singapore, Singapore

Received Date: 1987-01-11
Publish Date: 1988-04-15

Abstract

Abstract

A study of the stability of plane Poiseuille flow at higher Reynolds number is made. Within a "triple-deck" structural framework, the qualitative behaviour of the eigenvalue of Orr-Sommerfeld equation is analytically obtained. The corresponding eigenfunction is formulated approximately.

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References(5)

References

[1]	Abramowitz,M.and I.A.Stegun,Handbook of Mathematics,Dover Publication,U.S.A.(1972).
[2]	Davey,A.,A simple numerical method for solving Orr-Sommerfeld problems,Quart.J.Mech.Appl.Math.,26 (1973),401-411.
[3]	Drazin,P.G.and W.H.Reid,Hydrodynamic Stability,Cambridge Univeristy Press (1982).
[4]	Hall,P.and F.T.Smith,A suggested mechanism for nonlinear wall roughness effects on high Reynolds number flow stability,Studies in Appl.Math.,86 (1982),241-265.
[5]	Stuart,J.T.,Laminar Turbulent Transition,ed.R.Eppler and H.fasel,Springer Verlag Berlin Heidelberg Press (1980).