Abstract
A study of the stability of plane Poiseuille flow at higher Reynolds number is made. Within a “triple-deck” structural framework, the qualitative behavior of the eingenvalue of Orr-Sommerfeld equation is analytically obtained. The corresponding eigenfunction is formulated approximately.
Similar content being viewed by others
References
Abramowitz, M. and I.A. Stegun,Handbook of Mathematics, Dover Publication, U.S.A. (1972)
Davey, A., A simple numerical method for solving Orr-Sommerfeld problems,Quart. J. Mech. Appl. Math.,26 (1973), 401–411.
Drazin, P.G. and W.H. Reid.Hydrodynamic Stability, Cambridge University Press (1982).
Hall, P. and F.T. Smith, A suggested mechanism for nonlinear wall roughness effects on high Reynolds number flow stability,Studies in Appl. Math.,66 (1982), 241–265.
Stuart, J.T.,Luminar Turbulent Transition, ed. R. Eppler and H. fasel, Springer Verlag Berlin Heidelberg Press (1980).
Author information
Authors and Affiliations
Additional information
Communicated by Zhou Heng
Rights and permissions
About this article
Cite this article
Fa-min, W., Tiak Wan, N. Asymptotic analysis of stability problem of plane poiseuille flow for high Reynolds number. Appl Math Mech 9, 347–357 (1988). https://doi.org/10.1007/BF02456115
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02456115