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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v27.i2-4.130
pages 363-385

Application of a New Turbulence Theory to Compressible 2-D Planar Flow through Small Gaps with Heat Transfer

R. A. Morstadt
Science & Engineering, Thiokol Corp, Brigham City, Utah

ABSTRACT

A new turbulence model has been derived in a manner such that the first equation for the turbulence transport is consistent with the second equation for the relaxation rate. In addition an equation has been derived for the transport of the internal energy fluctuations. The Mu-Beta turbulence model has then been applied to compressible flow through a small gap with heat transfer using only three turbulent constants. These are the same constants that were used in the turbulent Couette flow problem. The model predicts the friction coefficient and the Nusselt number over a large range of Reynolds number. For the particular case of a hot gas over a cold wall, the predicted Nusselt number is less than the standard values usually given for fully developed turbulent flow. One possible explanation for this prediction is that the gas viscosity increases moving away from the cold wall due to the higher gas temperature. As a consequence, the Nusselt number is less than that for fully developed turbulent flow.


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