ON MAGNETOROTATORY DOUBLE-DIFFUSIVE CONVECTION COUPLED WITH CROSS-DIFFUSIONS

Abstract

The present paper investigates the effect of a uniform vertical rotation and a uniform vertical magnetic field on the physical problem of double-diffusive convection coupled with cross-diffusions. The governing equations of the problem are linearized by the construction of a proper transformation and some general qualitative results concerning the stability of oscillatory motions and limitations on the oscillatory motions of growing amplitude are derived. The results for the double-diffusive convection problems with or without the individual consideration of Dufour and Soret effects follow as consequence.

Keywords

• Double-diffusive convection
• Dufour-Soret effects
• Rayleigh numbers
• Prandtl numbers
• Taylor number
• Chandrasekhar number