Generalization of a Class of Solutions of the Laminar, Incompressible Boundary-Layer Equations

[+] Author and Article Information
Ward O. Winer

Department of Mechanical Engineering, University of Michigan, Ann Arbor, Mich.

Arthur G. Hansen

University of Michigan, Ann Arbor, Mich.

J. Basic Eng 83(3), 328-332 (Sep 01, 1961) (5 pages) doi:10.1115/1.3658954 History: Received August 01, 1960; Online November 04, 2011


The momentum, continuity, and energy equations of the laminar incompressible boundary layer in a skew-linear co-ordinate system are similar in form to those in a rectangular co-ordinate system. This fact is used to generalize the requirements for similarity solutions in rectangular co-ordinates. The requirements for all possible similarity solutions of the boundary-layer and energy equations in skew-linear co-ordinates are presented. The usual Cartesian co-ordinate system is a special case of co-ordinate systems considered.

Copyright © 1961 by ASME
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