Study of heat and mass transport in a temperature dependent viscosity fluid layer under temperature modulation
نویسندگان
چکیده
In this paper, we study the thermosolutal convection in a horizontal temperature dependant viscous fluid layer. The considered temperature profile consists of two parts: a steady part and a time-dependent periodic part that oscillates with time. A weak nonlinear stability analysis has been performed by using power series expansion in terms of the amplitude of temperature modulation, which is assumed to be small. The Nusselt and Sherwood numbers have been obtained in terms of the amplitude of convection which is governed by the non autonomous Ginzburg-Landau equation derived for the stationary mode of convection. Effects of various parameters such as frequency and amplitude of modulation, Prandtl number, diffusivity ratio and solute Rayleigh number, have been analyzed on heat and mass transfer. It is found that heat and mass transport can be controlled by suitably adjusting the external parameters of the system. It is also found that the thermorheological parameter is to destabilize the system.
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