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Skin friction and velocity profile family for compressible turbulent boundary layers. (English) Zbl 0785.76063
Summary: The paper presents a general approach to constructing mean velocity profiles for compressible turbulent boundary layers with isothermal or adiabatic walls. The theory is based on a density-weighted transformation that allows the extension of the incompressible similarity laws of the wall to the compressible regions. The velocity profile family is compared to a range of experimental data, and excellent agreement is obtained. A self-consistent skin friction law, which satisfies the proposed velocity profile family, is derived and compared with the well-known Van Driest II theory [E. R. Van Driest, J. Aeronontical Sci. 23, No. 11, 1007- 1011 and 1036 (1956)] for boundary layers in zero pressure gradient. The results are found to be at least as good as those obtained by using the Van Driest II transformation.

MSC:
76N20 Boundary-layer theory for compressible fluids and gas dynamics
76F10 Shear flows and turbulence
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