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Velocity and temperature profiles in adverse pressure gradient turbulent boundary layers

Published online by Cambridge University Press:  28 March 2006

A. E. Perry
Affiliation:
Department of Mechanical Engineering, University of Melbourne
J. B. Bell
Affiliation:
Department of Mechanical Engineering, University of Melbourne
P. N. Joubert
Affiliation:
Department of Mechanical Engineering, University of Melbourne

Abstract

A correlation scheme for velocity and temperature profiles is derived for turbulent boundary layers in adverse pressure gradients. The resulting analytical expressions are obtained by what could be referred to as ‘regional similarity’ arguments. This avoids the need to make use of the Reynolds analogy (explicitly, at least) or the usual local gradient-type diffusion expressions for momentum and thermal transport (‘the local similarity’ and Boussinesq concept). The expressions agree well with experimental data for the velocity profiles and encouraging correlation is shown for the temperature profiles. The expressions cover a wider part of the profile than given by the logarithmic law of the wall. Surface roughness and Prandtl-number effects are included in the analysis.

Type
Research Article
Copyright
© 1966 Cambridge University Press

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