On the Stability Analysis of a Generalized Double Diffusive Convection Problem

The present paper deals with the construction of a generalized setup of eigenvalue problem from the perturbations equations governing Modified Thermohaline convection (derived by Banerjee et al. [1993]) by an appropriate choice of parameters of the fluid. This generalized setup of eigenvalue problem named as; generalized double-diffusive convection problem yields eigenvalue problems for Stern type double-diffusive convection problem and for Dufour-Driven double-diffusive convection problem as a consequence. The stability investigations of this general problem are carried in this paper and some general results concerning the stability or otherwise are derived for the case of both dynamically free boundaries and various consequences of the derived results are also discussed.