Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid

Abstract

Energy stability of a horizontal layer of a two-component Maxwell fluid in a porous medium heated and salted from below is studied under the Oberbeck-Boussinesq-Darcy approximation using the Lyapunov direct method. The effect of stress relaxation on the linear and non-linear critical stability parameters is clearly brought out with coincidence between the two when the solute concentration is dilute. Qualitatively, the result of porous and clear fluid cases is shown to be similar. In spite of lack of symmetry in the problem it is shown that non linear exponential stability can be handled.

Keywords

• energy stability analysis
• lyapunov direct method
• b´enard-darcy convection
• viscoelastic
• twocomponent maxwell fluid
• stress relaxation