Study of heat and mass transport in temperature-dependent-viscous fluid under gravity modulation

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Authors :

B.S. Bhadauriaa and P. Kiranb,*

Author Address :

a,bDepartment of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, India.

*Corresponding author.

Abstract :

In this paper, we study the thermosolutal convection in a horizontal temperature dependent viscous fluid layer. The considered gravity field consists of two parts: a steady part and a time-dependent periodic part that oscillates with time. The time periodic gravity modulation, can be realized by vertically oscillating the fluid layer. A weak non-linear stability analysis has been performed by using power series expansion in terms of the amplitude of gravity 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. E.ects of various parameters such as frequency and amplitude of modulation, Prandtl number, di.usivity 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 thermo-rheological parameter is to destabilize the system.

Keywords :

Heat and mass transfer, Ginzburg-Landau equation, Temperature-dependant viscosity, Gravity modulation.

DOI :

Article Info :

Received : August 19, 2013; Accepted : September 01, 2013.