Modulated rayleigh benard ferroconvection in couple stress fluid

Abstract

Ferromagnetic fluid with couple stress confined between two stress-free, isothermal horizontal plates is considered in this study. The effect of different types of modulation on Rayleigh-Bénard convection in a ferromagnetic fluid with couple stress is examined by considering sinusoidal (sine) and non-sinusoidal (square, triangular, and sawtooth) wave types of modulation. Rayleigh- Bénard convection in a ferromagnetic fluid with couple stress subjected to gravity, rotation, temperature, and internal heat modulation is discussed by performing linear and non-linear analyses. The expression for the critical Rayleigh number and the correction Rayleigh number are deduced using the Venezian approach. The effect of gravity, rotation, temperature and internal heat modulation on heat transport is studied using the generalized Lorenz model. The effect of various parameters on the onset of convection and heat transport is studied. The ferromagnetic parameters hasten the convection onset and enhance the heat transfer under various modulations. The results of a Newtonian fluid, ferromagnetic fluid, and couple stress fluid is obtained as the limiting cases of this study.