Hide/Show Apps

ELECTRICALLY DRIVEN FLOWS IN MHD WITH MIXED ELECTROMAGNETIC BOUNDARY-CONDITIONS

1988-01-01
Tezer, Münevver
AGGARWALA, BD
ARIEL, PD
Flow of viscous, incompressible, electrically conducting fluid, driven by imposed electric currents has been investigated in the presence of a transverse magnetic field. The boundary perpendicular to the magnetic field is perfectly conducting partly along its length. Three cases have been considered: a) flow in the upper half plane when the boundary to the right of origin is insulating and that to the left is perfectly conducting, b) flow in the upper half plane when a finite length of the boundary is perfectly conducting, and c) flow in a flat channel when a finite length of boundary in each plane, symmetrically situated, is perfectly conducting. In case a), an exact analytical solution is derived, from which the existence of a boundary layer, parabolic in shape and emanating from the point of discontinuity in electrical boundary conditions, is established. In cases b) and c), the problem is reduced analytically to a Fredholm's integral equation of second kind, which is solved numerically. A number of transformations and valid approximations are used to simplify the task of numerical computation. Velocity contours and current lines have been plotted for each problem. For large values of Hartmann number the parabolic boundary layer mentioned above is demarcated.