The Effect of Suspended Particles on Magneto- Gravitational Instability under the Influence of Electrical Resistivity

摘要

The problem of magneto-gravitational instability of rotating viscous, electrical conducting medium in the presence of suspended particles is studied Incorporating, thermal conductivity, and radiative heat-loss function. The Normal mode analysis is applied to derive the dispersion relation and it is discussed for wave propagation in longitudinal and transverse direction. Applying Routh-Hurwitz criterion the stability of the medium is discussed. The effect of suspended particles, magnetic field, rotation, resistivity and viscosity, Jean’s criterion determines the condition of gravitational instability of gas particle medium. From the curves, we find that the effect of suspended particles, viscosity and temperature dependent heat-loss function have a stabilizing effect while density dependent heat-loss function has a destabilizing influence on the growth rate of an instability.