Approximate calculation of the compressible turbulent boundary layer with heat transfer and arbitrary pressure gradient

Eli Reshotko, Maurice Tucker
naca-tn-4154
Dec 1957


An approximate method for the calculation of compressible turbulent boundary layer with heat transfer and arbitrary pressure gradient is presented. The method involves the monentum integral and moment-of-momentum equations as simplified by using Stewartson's transformation. The Ludwieg-Tillmann skin-friction relation is used in these equations in a form suitable for compressible flow with heat transfer through application of the reference enthalpy concept. A tentative extension of Reynolds analogy is suggested for estimating heat-transfer effects. The method, as applied to insulated surfaces, is quite well founded but, for noninsulated isothermal surfaces, depends on a number of speculative assumptions. These assumptions are qualitatively proper, and it is hoped that they will yield reasonable quantitative results. The detailed application of the method for practical calculations is described.

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