RayleighTaylor instability of a viscous plasma in the presence of Hall current
Abstract
The effect of Hall current and finite electrical resistivity on the RayleighTaylor instability of a viscous, incompressible, finitely conducting liquid in a downward gravitational field under the influence of a uniform magnetic field normal to gravity has been studied. The solution is characterized by a variational principle. With the help of the variational principle an approximate solution is obtained for the stability of a layer of fluid of constant kinematic viscosity and with an exponential density distribution. It has been found that finite resistivity and finite Larmor frequency do not introduce any instability in a potentially stable configuration. The potentially unstable configuration has been discussed numerically and compared with that given by Bhowmik (1972). An appreciable change in the growth rate is observed in the presence of Hall current. The criterion for instability in the absence of Hall current remains unchanged.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 April 1975
 DOI:
 10.1007/BF02738570
 Bibcode:
 1975NCimB..26..419A
 Keywords:

 Hall Effect;
 Incompressible Fluids;
 Magnetohydrodynamic Stability;
 Plasma Layers;
 Taylor Instability;
 Viscous Fluids;
 Conducting Fluids;
 Electric Current;
 Electrical Resistivity;
 Gravitational Fields;
 Rates (Per Time);
 Variational Principles;
 Plasma Physics