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Some perturbation solutions in laminar boundary-layer theory

Published online by Cambridge University Press:  28 March 2006

Paul A. Libby  and
Herbert Fox
Paul A. Libby
Affiliation:
Polytechnic Institute of Brooklyn, Brooklyn, New York
Herbert Fox
Affiliation:
Polytechnic Institute of Brooklyn, Brooklyn, New York
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Abstract

The velocity fields associated with a variety of flows which may be described by perturbations of the Blasius solution are considered. These are flows which, for example, because of localized mass transfer, involve the initial-value problem of boundary-layer theory, or which involve a variable ratio of the viscosity-density product, or finally which involve mass transfer. The perturbation solutions are presented so that in accord with the usual linearization procedures further applications for the determination of first-order effects can be readily made. In addition, each of these perturbations involves a common differential operator whose eigenfunctions form a complete orthogonal set. Accordingly, a procedure for systematically improving each perturbation solution to obtain higher-order effects by quadrature is presented. The results of applications in several cases are given and are compared to more accurate solutions where available.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 17 , Issue 3 , November 1963 , pp. 433 - 449
Copyright
© 1963 Cambridge University Press

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