The article is focused on an application of generalized local balance turbulence model for Couette-Taylor flow. It is shown that resistance law can be expressed in terms of the Lambert W fuction. Comparison with some known experimental data are given.
The article is focused on the problem of generalized local balance turbulence model. Generalized local balance turbulence model is considered. The one-parameter turbulence model is based on semi-empirical dissipation rate transport equation with negative coefficient of diffusion. To determine a coefficient of this equation, Laplace’s method of asymptotic estimation of a double integral is used. To compute radial dissipation profile the turbulence model is applied to the pipe flow. The known wall and axial functions are used as boundary conditions. The turbulence model is applied to the pipe flow to compute radial dissipation profile, well-known wall and axial functions are used as boundary conditions. Comparisons with known experimental data are given.
Asymptotic expansions of well-known Prandtl–von-Karman resistance law at very large Reynolds numbers were obtained. These asymptotic forms can be used for turbulent flows between rotating coaxial cylinders (Couette-Taylor flow) and in direct round pipes.
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