B. S. Bhadauria - Deprtment of Mathematics, Institute of Science, Banaras Hindu University, India.
P. G. Siddheshwar - Department of Mathematics, Bangalore University, Central College Campus, Bangalore-۵۶۰ ۰۰۱, India.
A. K. Singh - Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-۲۲۱۰۰۵, India
Vinod K. Gupta - Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-۲۲۱۰۰۵, India

The non-autonomous Ginzburg-Landau equation with time-periodic coefficients is derived for two modulated double-diffusive stationary convection involving couple stress liquid. The heat and mass transports are quantified in terms of Nusselt and Sherwood numbers, which are obtained as functions of the slow time scale. Effects of Prandtl number, Lewis number, solute Rayleigh number and couple stress parameter have been discuused in detail.

Benard convection, Rayleigh, Couple stress liquid, Temperature modulation, Gravity modulation, Ginzburg, Landau equation