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Transformations of the boundary-layer equations for rotating flows

Published online by Cambridge University Press:  28 March 2006

N. Rott
Affiliation:
Department of Engineering, University of California, Los Angeles Present address: Swiss Federal Institute of Technology, Zürich.
J. T. Ohrenberger
Affiliation:
Department of Engineering, University of California, Los Angeles Present address: TRW Systems, Redondo Beach, California.

Abstract

The boundary layer on an axisymmetric surface above which the flow is rotating about the axis of symmetry is considered. Transformations of the governing equations which permit the generalizations of a known solution for one meridian shape in incompressible flow to a family of meridian shapes are shown to exist. For compressible flow, a transformation of the Stewartson-Illingworth type was found which reduces a compressible flow problem to an incompressible case. Also, remarks are made concerning the invariance of the turbulent boundary-layer integral equations assuming particular semi-empirical shear laws.

Type
Research Article
Copyright
© 1968 Cambridge University Press

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