Eigen-Functions of Linearized Unsteady Boundary Layer Equations

[+] Author and Article Information
S. H. Lam

Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544

N. Rott

Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305

J. Fluids Eng 115(4), 597-602 (Dec 01, 1993) (6 pages) doi:10.1115/1.2910185 History: Received June 24, 1993; Revised September 23, 1993; Online May 23, 2008


The Lam and Rott theory of linearized unsteady boundary layers is revisited, and some new results are obtained. The exact outer eigen-solution for a flat plate found in the original paper is shown to be a special case of the Prandtl-Glauert transposition theorem. The streamwise coordinate-dependent factor of the inner eigen-solutions, first found by M. E. Goldstein for the flat plate, is generalized for arbitrary pressure gradients.

Copyright © 1993 by The American Society of Mechanical Engineers
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