Hydromagnetic Free Convection Flow in the Stokes Problem for a Porous Vertical Limiting Surface with Constant Suction
Abstract
This paper provides a comprehensive analysis of the effects of a uniform transverse magnetic field on the freeconvection flow of a viscous incompressible and electrically conductive fluid (e.g., of a stellar atmosphere) past an impulsively started, infinite, porous, vertical limiting surface (e.g., of a star) with a constant suction. The magnetic Reynolds number is assumed small so that the induced magnetic field is considered negligible. Exact solution of the equations governing the flow is obtained in closed form with the help of the Laplace transform technique when the Prandtl numberP=1. Expressions are given for the velocity field, for the temperature field and for their related quantities. The results thus obtained are discussed quantitatively in the last section of this paper.
 Publication:

Astrophysics and Space Science
 Pub Date:
 July 1980
 DOI:
 10.1007/BF00639561
 Bibcode:
 1980Ap&SS..70..377N
 Keywords:

 Convective Flow;
 Free Convection;
 Magnetohydrodynamic Flow;
 Porous Walls;
 Stokes Flow;
 Suction;
 Aeronautical Engineering;
 Conducting Fluids;
 Incompressible Flow;
 Laplace Transformation;
 Prandtl Number;
 Reynolds Number;
 Stellar Atmospheres;
 Viscous Flow;
 Astrophysics