Energy balance equation for turbulent fluctuations in the theory of MHD flows in channels and tubes

V. F. Tul'vert

Abstract
The turbulent flow of an incompressible conducting fluid is considered in a circular tube and a flat channel in a magnetic field. These problems have been solved by the simultaneous integration of the equations of motion and the turbulent energy balance equation. The same assumptions for the modulus of turbulent viscosity and the length scale have been made as were made for flows in the absence of a magnetic field. The empirical coefficient in the expression for Joule dissipation of turbulent energy has the same value as that used for calculating jet streams of a conducting fluid. The distribution of the mean kinetic energy of turbulent fluctuations, the average flow velocity, and the hydraulic drag coefficient have been found.