Open AccessConvection of a Rotatory Plasma in Porous Medium
Author(s) -
Pardeep Kumar,
Gurnam Singh
Publication year - 2021
Publication title -
wseas transactions on heat and mass transfer
Language(s) - English
Resource type - Journals
eISSN - 2224-3461
pISSN - 1790-5044
DOI - 10.37394/232012.2021.16.10
Subject(s) - gyroradius , instability , physics , magnetic field , convection , dispersion relation , rotation (mathematics) , mechanics , plasma , radius , classical mechanics , condensed matter physics , quantum mechanics , mathematics , geometry , computer security , computer science
The thermal convection of a plasma in porous medium is investigated to include simultaneously the effect of rotation and the finiteness of the ion Larmor radius (FLR) in the presence of a vertical magnetic field. Following linear stability theory and normal mode analysis method, the dispersion relation is obtained. It is found that the presence of a uniform rotation, finite Larmor radius and magnetic field introduces oscillatory modes in the system which were, otherwise, non-existent in their absence. When the instability sets in as stationary convection, finite Larmor radius, rotation, medium permeability and magnetic field are found to have stabilizing (or destabilizing) effects under certain conditions. In the absence of rotation, finite Larmor radius has stabilizing effect on the thermal instability of the system whereas the medium permeability and the magnetic field may have stabilizing or destabilizing effect under certain conditions. The conditions κ<[ε+(1-ε) (ρ_S C_S)/(ρ_0 C)]η and κ<(ε^2 [ε+(1-ε) (ρ_S C_S)/(ρ_0 C)]ν)/(P^2 [εP{√U (x-2)+√(T_(A_1 ) )}^2-2Q_1 ] ) are the sufficient conditions for non-existence of overstability, the violation of which does not necessary involve an occurrence of overstability.