Abstract

The stability analysis of throughflow effect on Bénard-Marangoni ferroconvection is investigated hypothetically. The bottom of the fluid layer is taken as rigid with temperature fixed, while the top of the fluid layer is assumed as free and, on the boundary, surface tension effect depending on temperature is taken as non-deformable and subjected to general thermal boundary condition. The Regular perturbation method is applied to solve the problem analytically. The results reveal that the direction of the throughflow doesn’t have any control on the characteristics of stability. Further, Peclet number Q is to delay the ferroconvection. The effect in increasing magnetic number Rm and Prandtl number Pr is to accelerate the convection. It is noticed that M 3 , representing non-linearity of fluid magnetization doesn’t affect the Bénard-Marangoni ferroconvection.

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