On generalized hydromagnetic thermosolutal convection: The Dufour-effect

Abstract

The effect of uniform magnetic field on the Dufour-driven thermosolutal convection of an electrically conducting fluid completely confined in an arbitrary region bounded by rigid walls is considered. Some general qualitative results concerning the character of marginal state, stability of oscillatory motions and limitations on the oscillatory motions of growing amplitude, are derived. The results for the horizontal layer geometry in the present case follow as a consequence.

On triply diffusive convection in completely confined fluids

“…All these researchers have confined themselves to horizontal layer geometry, perhaps, due to the complexity involved in the analysis of the hydrodynamic problems with arbitrary geometries. However, there are a few researchers (Sherman and Ostrach [22], Gupta et al [23,24], Gupta and Dhiman [25], Mohan et al [26]) who have extended the classical work to more general hydrodynamic stability problems with arbitrary boundaries. In the present communication, which is motivated by the desire to extend the works of Gupta et al [23] to more complex problem, namely, triply diffusive convection problem for completely confined fluids and bounds for the complex growth rate are obtained which are important keeping in view the fact that exact solutions, even in the case of simple horizontal plane rigid boundaries, are not obtainable in a closed form.…”