The laminar plume above a line heat source in a transverse magnetic field
Abstract
The effect of a horizontal magnetic field on a steady laminar magnetic plume rising from a horizontal line source of heat under the action of buoyancy is analyzed. The magnetic field varies with height. The Boussinesq approximation is taken, Ohm's law is assumed, and the magnetic Reynolds number is taken so small that the flowinduced distortion of the applied magnetic field is negligible. The boundary layer approximation is assumed to be valid. Under these assumptions, a similarity solution is found to exist when the transverse magnetic field varies as the 2/5 power of the height. Exact closedform solutions are obtained for Pr = 5/9 and arbitrary Lykoudis number and for Pr greater than or equal to 2 and particular values of Lykoudis number. Numerical solutions are obtained in other cases. The magnetic field is shown to alter the profiles of velocity and temperature by changing the similarity functions, the coefficients, and the value of the independent similarity variable corresponding to a fixed physical position.
 Publication:

Applied Scientific Research
 Pub Date:
 December 1977
 Bibcode:
 1977ApScR..33..437G
 Keywords:

 Heat Sources;
 Laminar Flow;
 Magnetic Field Configurations;
 Magnetohydrodynamics;
 Buoyancy;
 Grashof Number;
 Hartmann Number;
 Magnetic Stars;
 Ponderomotive Forces;
 Prandtl Number;
 Reynolds Number;
 Similarity Theorem;
 Fluid Mechanics and Heat Transfer