Motion of an electrically conducting liquid between two disks in crossed electric and magnetic fields

L. P. Gorbachev - N. V. Nikitin

Abstract
The rotational motion of an electrically conducting liquid between two disks in crossed fields is investigated. The magnetic axial field B is uniform, while the radial electric field is proportional to the radius: E_r = E₀r. The whole flow region is divided into a nonviscous core and end boundary layers. The calculation is carried out by making an approximate calculation of the nonlinear terms of the equations of motion. Induced magnetic fields are neglected. Expressions are obtained for the radial, axial, and circumferential components of the velocity over the whole flow space, and it is shown that for a given E₀ the angular velocity of rotation of the core reaches a maximum value at a certain value of B.