On the stability of thermally radiative magnetofluiddynamic channel flow
Abstract
The stability of plane Hartmann flow is investigated in the case of a fluid sufficiently hot for effects of thermal radiation to be significant. Laminar flow of a thermally radiating viscous electrically conducting and heatconducting fluid between parallel channel walls in the presence of a transverse magnetic field is assumed. Effects of viscous and ohmic dissipation, thermal conductivity, and radiation are retained along with threedimensional disturbances in the development of the stability problem, but thermalconductivity effects are neglected and disturbances are restricted to two dimensions in calculations leading to numerical results so that perturbations from an analytically expressed steady state may be studied. Based on the numerical results obtained, it is concluded that thermally radiating magnetogasdynamic channel flows are never less stable than similar cooler flows in which effects of radiative heat transfer may be neglected.
 Publication:

Journal of Engineering Mathematics
 Pub Date:
 January 1977
 DOI:
 10.1007/BF01535588
 Bibcode:
 1977JEnMa..11...67H
 Keywords:

 Channel Flow;
 Flow Stability;
 Hartmann Flow;
 Magnetohydrodynamic Flow;
 Thermal Radiation;
 Eigenvalues;
 Ohmic Dissipation;
 Perturbation Theory;
 Radiative Heat Transfer;
 Steady State;
 Tables (Data);
 Thermal Conductivity;
 Two Dimensional Flow;
 Viscous Flow;
 Plasma Physics