Nonlinear magnetoconvection in a rotating fluid due to thermal and compositional buoyancy with anisotropic diffusivities

Abstract

AbstractMagnetoconvection in a rotating fluid due to thermal and compositional buoyancy with anisotropic diffusivities is investigated by both linear and weakly nonlinear analyses. By linear stability analysis, the threshold values of physical parameters give conditions for the occurrence of various types of bifurcations. By using multiple scale analysis, the nonlinear two‐dimensional amplitude equation is derived and occurrence of secondary instabilities is investigated. Nusselt number is used to study heat transport. Furthermore, the effect of stratification anisotropy is to enhance heat transport. The system of coupled amplitude equations is also derived.