Energy dissipation rates in low-\Rm MHD turbulence with mean shear: results for channel flow with spanwise field

D. Krasnov¹ - O. Zikanov² - J. Schumacher¹ - T. Boeck¹

¹ Fakultät Maschinenbau, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, Germany }
² University of Michigan-Dearborn, 48128 MI, USA

Abstract
We examine the changes in kinetic energy dissipation of a turbulent channel flow caused by a spanwise magnetic field. The numerical study is based on our simulation data from \cite{Krasnov:2008} obtained by direct and large eddy simulations. We find that the Joule dissipation can exceed the viscous dissipation in the weakly dissipative bulk region, but remains comparatively small in the turbulence-generating near-wall region. Tables1, Figs 6, Refs 12.