Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-19T08:43:15.512Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anderson, O. L. 1966 Ph.D. Thesis, Rensselaer Polytechnic Institute.
Barcilon, A. 1966 A theoretical and experimental model for a dust-devil. Department of Meteorology, Massachusetts Institute of Technology.Google Scholar
Illingworth, C. R. 1949 Proa. Roy. Soc. A, 199, 533.
KÁRMÁN, T. VON 1921 Z. angew. Math. Mech. 1, 233.
Mack, L. M. 1962 The laminar boundary layer on a disk of finite radius in a rotating flow. Jet Propulsion Laboratory Research Summary no. 26–14.Google Scholar
Ohrenberger, J. T. 1967 Ph.D. Thesis, University of California, Los Angeles.
Rott, N. & Lewellen, W. S. 1966 Progress in Aeronautical Sciences, volume 7 (D. Küchemann, editor). Oxford: Pergamon Press.
Stewartson, K. 1949 Proc. Roy. Soc. A, 200, 84.
Taylor, G. I. 1950 Quart. J. Mech. Appl. Math. 3, 129.