Magneto-thermal Stability of Rotating Walters’ (model B') Visco-elastic Compressible Fluid in the Presence of Hall Currents and Suspended Particles in Porous Medium


1 Department of Mathematics & Statistics, Gurukula Kangri Vishwavidyalaya, Haridwar, 249404, India.

2 Department of Applied Sciences, Moradabad Institute of Technology, Moradabad, 244001, India.


In the present paper, the stability of a compressible rotating Walters’ B' viscoelastic fluid through a porous medium is considered in the presence of uniform vertical magnetic field, Hall current and suspended particles. It is found that the region of stability increases with the increase in magnetic field, rotation and compressibility and it decreases with the increase in suspended particles and Hall currents. Also, it has been established that the medium permeability has destabilizing effect in the absence of rotation while in the presence of rotation it may have stabilizing effect on the system. Graphs are plotted to find the region of stability in the presence of various physical parameters like Hall current parameter, suspended particles, rotation, magnetic field and medium permeability. The principle of exchange of stabilities holds good under certain conditions and the modes may be non-oscillatory or oscillatory.