• S.H Manjula
• Palle Kiran
• Y. Narasimhulu

The effects of temperature dependent viscosity, internal heat source, temperature modulation and thermo-mechanical anisotropy on heat transport in a low-porosity medium are studied using the Ginzburg-Landau model. The amplitudes of temperature modulation at both the boundaries are considered to be very small and the disturbances are expanded in terms of power series of amplitude of convection. A weak non linear stability analysis has been performed for the stationary mode of convection, and heat transport in terms of the Nusselt number, which is governed by the non autonomous Ginzburg-Landau equation, is calculated. The effects of thermo-rheological parameter, internal Rayleigh number, amplitude and frequency of modulation, thermo mechanical anisotropies and Darcy-Prandtl number on heat transport have been analyzed and depicted graphically. It is found that increments in the values of thermo-rheological parameter and internal Rayleigh number result in enhancement of heat transport in the system. Further, temperature modulation can be used to controlled the heat transport effectively by a mechanism that is external to the system.

Ginzburg-Landau model, Temperature modulation, Anisotropic rous media, Temperature-dependent viscosity, Internal heating

"Heat transport in a porous medium saturated with variable viscosity under the effects of thermal modulation and internal heating", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 8, page no.59-75, August-2018, Available :http://www.jetir.org/papers/JETIRD006012.pdf

"Heat transport in a porous medium saturated with variable viscosity under the effects of thermal modulation and internal heating", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 8, page no. pp59-75, August-2018, Available at : http://www.jetir.org/papers/JETIRD006012.pdf