• A SEMI-CIRCLE THEOREM IN THERMOSOLUTAL CONVECTION IN RIVLIN-ERICKSEN VISCOELASTIC FLUID IN A POROUS MEDIUM
Abstract
Thermosolutal convection in a layer of Rivlin-Ericksen viscoelastic fluid of Veronis (1965) type is considered in a porous medium. Following the linearized stability theory and normal mode analysis, the paper through mathematical analysis of the governing equations of Rivlin-Ericksen viscoelastic fluid convection, for any combination of free and rigid boundaries of infinite horizontal extension at the top and bottom of the fluid, established that the complex growth rate of oscillatory perturbations, neutral or unstable for all wave numbers, must lie inside right half of the a semi-circle
Keywords
Thermosolutal convection in a layer of Rivlin-Ericksen viscoelastic fluid of Veronis (1965) type is considered in a porous medium. Following the linearized stability theory and normal mode analysis, the paper through mathematical analysis of the governing
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