EFFECT OF ROTATION ON A LAYER OF FERROFLUID FOR A LOCAL THERMAL NONEQUILIBRIUM MODEL WITH A HEAT SOURCE: WEAKLY NONLINEAR ANALYSIS

Rotational effect in a horizontal magnetic fluid layer is studied to analyze the onset of thermal convection when the layer is internally heated and the solid matrix and fluid are not in local thermal equilibrium. The impact of rotation is confined to the Coriolis force, and the permeable medium is represented by Darcy's model in the momentum equation. Normal mode technique is applied for linear analysis, while weak nonlinear analysis is performed with a truncated Fourier series. Effects of parameters on Rayleigh number has also been studied. The Runge-Kutta-Gill method has been used for solving the finite-amplitude equations to study the transient behavior of the Nusselt number. Streamlines and isotherm patterns are determined for the steady case and are presented graphically. In microgravity conditions, the system with pure internal heating is most stable.