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The thermosolutal instability of Walters' (model B') elastico-viscous rotating fluid in a porous medium is considered in the presence of a uniform magnetic field and varying gravity field. For the case of stationary convection, the solute parameter delays the onset of convection. The system is stable or unstable as gravity increases or decreases in the presence of rotation and magnetic field stabilizes the system for TA1 < [(1+x0)+PQ1]2 [(1+x0)P2] as gravity increases or decreases. The porous medium permeability is also found to stabilize the system under certain conditions in the presence of rotation and magnetic field; whereas the kinematic viscoelasticity has no effect on the onset of convection. The magnetic field, rotation, porous medium permeability, kinematic viscoelasticity, the solute parameter and varying gravity field introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained. The variation of the Rayleigh number with respect to the solute parameter, rotation, magnetic field and porous medium permeability for the stationary convection is also shown graphically.
Rocznik
Tom
Strony
591--611
Opis fizyczny
Bibliogr. 8 poz., wykr.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ2-0009-0030