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Calculation of boundary-layer development using the turbulent energy equation

Published online by Cambridge University Press:  28 March 2006

P. Bradshaw ,
D. H. Ferriss  and
N. P. Atwell
P. Bradshaw
Affiliation:
Aerodynamics Division, National Physical Laboratory, Teddington
D. H. Ferriss
Affiliation:
Aerodynamics Division, National Physical Laboratory, Teddington
N. P. Atwell
Affiliation:
Aerodynamics Division, National Physical Laboratory, Teddington
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Abstract

The turbulent energy equation is converted into a differential equation for the turbulent shear stress by defining three empirical functions relating the turbulent intensity, diffusion and dissipation to the shear stress profile. This equation, the mean momentum equation and the mean continuity equation form a hyperbolic system. Numerical integrations by the method of characteristics with preliminary choices of the three empirical functions compare favourably with the results of conventional calculation methods over a wide range of pressure gradients. Nearly all the empirical information required has been derived solely from the boundary layer in zero pressure gradient.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 28 , Issue 3 , 26 May 1967 , pp. 593 - 616
Copyright
© 1967 Cambridge University Press

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