Finite Amplitude Analysis of Convection in Rotating Mushy Layers during the Solidification of Binary Alloys

We consider the Solidification of a binary alloy in a mushy layer (or reactive porous layer) subject to Coriolis effects. A near-eutectic approximation and large far-field temperature is employed in order to study the dynamics of the mushy layer in the form of small deviations from the classical case of convection in a horizontal passive porous. The linear stability theory is used to investigate the Coriolis effect analytically in a rotating mushy layer for a new diffusion time scale proposed by the author. Weak nonlinear analysis provides differential equations for the amplitude, corresponding to both stationary and oscillatory convection.