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Finite disturbance effect on the stability of a laminar incompressible wake behind a flat plate

Published online by Cambridge University Press:  29 March 2006

D. Ru-Sue Ko ,
T. Kubota  and
L. Lees
D. Ru-Sue Ko
Affiliation:
California Institute of Technology, Pasadena, California
T. Kubota
Affiliation:
California Institute of Technology, Pasadena, California
L. Lees
Affiliation:
California Institute of Technology, Pasadena, California
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Abstract

An integral method is used to investigate the interaction between a two-dimensional, single frequency finite amplitude disturbance in a laminar, incompressible wake behind a flat plate at zero incidence. The mean flow is assumed to be a non-parallel flow characterized by a few shape parameters. Distribution of the fluctuation across the wake is obtained as functions of those mean flow parameters by solving the inviscid Rayleigh equation using the local mean flow. The variations of the fluctuation amplitude and of the shape parameters for the mean flow are then obtained by solving a set of ordinary differential equations derived from the momentum and energy integral equations. The interaction between the mean flow and the fluctuation through Reynolds stresses plays an important role in the present formulation, and the theoretical results show good agreement with the measurements of Sato & Kuriki (1961).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 2 , 3 February 1970 , pp. 315 - 341
Copyright
© 1970 Cambridge University Press

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