Radial profile of dissipation rate for turbulent flow of incompressible fluid in round direct pipe based on generalized local balance model

Abstract

Abstract 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.