Author:
Sumithra R.,Arul Selvamary T.,Shivaraja J. M.
Abstract
The impact of non-uniform temperature gradients on Rayleigh-Darcy convection in a composite system of couple stress fluid is discussed. The composite system is bounded by stress-free surfaces and adiabatically insulated, and the fluid-porous layers are coupled by employing appropriate interfacial boundary conditions. To determine the eigen value, the regular perturbation method is used. The effect of dimensionless parameters on Rayleigh-Darcy convection is analysed graphically, and it is demonstrated that the couple stress parameter and couple stress viscosity ratio stabilise the system, while the opposite effect is observed for the Darcy number and thermal diffusivity ratio.
Publisher
Informatics Publishing Limited
Subject
Energy Engineering and Power Technology,Geotechnical Engineering and Engineering Geology,Fuel Technology
Reference26 articles.
1. Nield, D. A., and Bejan, A., “Convection in porous media”. Springer-Verlag New York Inc, (1999).
2. Sun, W. J., “Convective instability in superposed porous and free layers”. Ph.D. dissertation, University of Minnesota, Minneapolis, (1973).
3. Nield, D. A., “Onset of convection in a fluid layer overlying a layer of a porous medium”, J. Fluid Mech., 81, pp. 513–522, (1977).
4. Beckermann, C., Ramadhyani, S., and Viskanta, R., “Natural convection flow and heat transfer between a fluid layer and a porous layer inside a rectangular enclosure.” J. Heat Trans., 109, pp. 363–370, (1987).
5. Chen F. and C. F. Chen, “Convection in superposed fluid and porous layers,” J. Fluid Mech., 234, 97-119 (1992).