Asymptotic parallel Hartmann layer solution of magnetically sonicated liquid metal flow

D. Berenis¹ - I. Grants^{1, 2}

¹ Institute of Physics, University of Latvia, 32 Miera str., LV-2169 Salaspils, Latvia
² Helmholtz--Zentrum Dresden -- Rossendorf, Bautzner Landstr. 400, 01328 Dresden, Germany

Abstract
The flow governing equations are derived and solved for a liquid metal flow driven by combined alternating and static axial magnetic fields in a cylinder. Provided the static field is strong, the curvature in the parallel Hartmann layer may be neglected, and the resulting stationary flow depends only on one governing parameter that measures the weight of the non-linear inertial terms. The equations are solved by two spectral numerical methods both for no-slip and stress-free conditions at the vertical side boundary. Numerical results show that for small values of the governing parameter the characteristic flow velocity has a linear dependence on this parameter. Figs 6, Refs 11.