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The effect of TD viscosity (Temperature Dependent viscosity) and Coriolis force in horizontal ferromagnetic fluid layer with Darcy porous matrix is investigated theoretically. This fluid layer is heated from below and it is salted from above. The non-linear behavior is omitted by use of a linear stability theory. The normal mode technique is taken to account to investigate the convective system with free-free boundaries. To investigate the entire system the exact solution is obtained. The stationary instability is obtained. But, oscillatory instability can not occur in the study. The critical thermal magnetic Rayleigh number  N S C is calculated for sufficient large values of  M 1 . In the analysis, we have attempted to analyze  T a ,  V  and  D a  on the system in many situations.

Effect of TD viscosity and Coriolis force on thermohaline convection of ferrofluid in Darcy porous matrix: A Galerkin numerical technique