Abstract: The aim of the present research was to study the effect of uniform vertical magnetic field on the Rivlin-Ericksen viscoelastic fluid heated from below in the presence of uniform rotation. Following the linearized stability theory, Boussinesq approximation and normal mode analysis, the dispersion relation is obtained. In the scenario of stationary convection, Rivlin-Ericksen viscoelastic fluid behaves like a Newtonian Fluid. Further, it is found that rotation has a stabilizing effect whereas the magnetic field has both stabilizing and destabilizing effects. In addition to this, it has been discovered that the system is reliable for $$ \frac{gαχ}{νβ}\leq \frac{27π^{4}}{4}$$ and under the condition $$ \frac{gαχ}{νβ}> \frac{27π^{4}}{4}$$ the system goes into an unstable state. Overstability has also been looked at from the perspective of a scenario in which sufficient circumstances are met to rule out the possibility of the phenomenon occurring. It has been discovered that the rotation and the magnetic field both introduce oscillatory modes in the system which were non-existent in their absence.

Keywords: Thermal Convection, Rivlin-Ericksen Viscoelastic Fluid, Uniform Vertical Magnetic Field, Uniform Rotation

Pages: 53-61

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