Investigation of Variable Viscosity Impact on Convection Dynamics in Viscoelastic Ferromagnetic Fluids

A linear stability analysis is performed on convection with viscosity dependent on temperature of ferromagnetic non-Newtonian fluids, specifically Maxwell and Jeffrey's fluids, employing Galerkin technique in this study. The primary objective is to determine how variations in viscosity, influenced by temperature changes, affect the stability of the system. The analysis considers both stationary and oscillatory convection modes under different boundary conditions-specifically, free-free and rigid-rigid isothermal boundaries. The stress relaxation parameter and both magnetization parameters (buoyancy and non-buoyancy) destabilize the system, while the elastic ratio stabilizes the system. By leveraging the unique properties of these fluids, one can develop more efficient and adaptable energy systems, improve environmental remediation techniques, and contribute to a better understanding of atmospheric dynamics.