On magnetorotatory double-diffusive convection coupled with cross-diffusions

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