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Equations describing compressible turbulent plane Couette flow for the case of equal heat transfer at both walls were developed for a perfect gas based on the von Karman mixing length model. This model was selected because of its good agreement with available turbulent plane Couette flow measurements of incompressible flow and furthermore, lacking compressible Couette flow data, it is shown by Spalding and Chi that those theories based on the von Karman model give best agreement with compressible turbulent boundary layer measurements. A sample calculation is given for the heat rate to the inner surface of a rail- guided slipper (representative of slippers supporting rocket boosted sleds) based on the assumption of a small air gap between both surfaces.
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Korkegi et al. (1968) studied this question.
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