Extended Velocity–Enthalpy Relations for Wall-Bounded and Free Shear Layers

[+] Author and Article Information
B. W. van Oudheusden

Department of Aerospace Engineering,  Delft University of Technology, P.O. Box 5058, 2600 GB Delft, The NetherlandsB.W.vanOudheusden@LR.TUDelft.nl

J. Fluids Eng 127(6), 1205-1209 (May 24, 2005) (5 pages) doi:10.1115/1.2060739 History: Received February 25, 2005; Revised May 24, 2005

The relation between the velocity and the enthalpy in steady shear flow is expressed by the Crocco–Busemann relation, which states that for adiabatic conditions the total enthalpy remains constant throughout the shear layer when the Prandtl number is one. The subject of the present Technical Brief is the rational extension of this concept in case the Prandtl number differs from one. The comparison between wall-bounded and free shear flows is studied in particular, as well as the possible application of the concept in turbulent shear flow.

Copyright © 2005 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Velocity and enthalpy distributions for Pr=0.7; a comparison between the numerical solution (solid) and the perturbation solution (dashed). Top: boundary layer; center: mixing layer λ=0; bottom: mixing layer λ=0.5.




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