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Similarity solutions of the two-dimensional unsteady boundary-layer equations

Published online by Cambridge University Press:  26 April 2006

Philip K. H. Ma  and
W. H. Hui
Philip K. H. Ma
Affiliation:
University of Waterloo, Waterloo, Ontario, Canada. N2L 3G1
W. H. Hui
Affiliation:
University of Waterloo, Waterloo, Ontario, Canada. N2L 3G1
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Abstract

The method of Lie group transformations is used to derive all group-invariant similarity solutions of the unsteady two-dimensional laminar boundary-layer equations. A new method of nonlinear superposition is then used to generate further similarity solutions from a group-invariant solution. Our results are shown to include all the existing solutions as special cases. A detailed analysis is given to several classes of solutions which are also solutions to the full Navier–Stokes equations and which exhibit flow separation.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 216 , July 1990 , pp. 537 - 559
Copyright
© 1990 Cambridge University Press

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