Heat and Mass Transfer in a Saturated Porous Medium Confined in Cylindrical Annular Geometry
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Heat and Mass Transfer in a Saturated Porous Medium Confined in Cylindrical Annular Geometry

Authors: A. Ja, J. Belabid, A. Cheddadi

Abstract:

This paper reports the numerical simulation of doublediffusive natural convection flows within a horizontal annular filled with a saturated porous medium. The analysis concerns the influence of the different parameters governing the problem, namely, the Rayleigh number Ra, the Lewis number Le and the buoyancy ratio N, on the heat and mass transfer and on the flow structure, in the case of a fixed radius ratio R = 2. The numerical model used for the discretization of the dimensionless equations governing the problem is based on the finite difference method, using the ADI scheme. The study is focused on steady-state solutions in the cooperation situation.

Keywords: Natural convection, double-diffusion, porous medium, annular geometry, finite differences.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1100336

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[1] M. Mamou, P. Vasseur and M. Hasnaoui, "On numerical stability analysis of double diffusive convection in confined enclosures," Journal of Fluid Mechanics, Vol. 433, pp. 209-250, 2001.
[2] D. B. Rafael, E. Crespo del Arco, P. Bontoux and J. Ouazzani, "Convection and instabilities in differentially heated inclined shallow rectangular boxes," C. R. Acad. Sci. Paris, t. 326, Serie II B, pp. 711- 718, 1998.
[3] D. Gobin and R. Bennacer, "Cooperating thermosolutal convection in enclosures - II. Heat transfer and flow structure," Int. J. Heat Mass Transfer, Vol. 39, No. 13, pp. 2683-2697, 1996.
[4] O. V. Trevisan and A. Bejan, "Natural convection with combined heat and mass transfer buoyancy effects in a porous medium," Int. J. Heat Mass Transfer, Vol. 38, No. 8, pp. 1597-1611, 1985.
[5] F. Alavyon, "On natural convection in vertical porous enclosures due to prescribed fluxes of heat and mass at the vertical boundaries," Int. J. Heat Mass Transfer, Vol. 36, No. 10, pp. 2479-2498, 1993.
[6] M. Hasnaoui, P. Vasseur, E. Bilgen and L.Robillard, "Analytical and numerical study of natural convection heat transfer in a vertical porous annulus," Chen. Eng. Comm., Vol. 136, pp. 77-94, 1995.
[7] M. Marcoux, M.-C Charrier-Mojtabi and M. Azaiez, "Double diffisive convection in an annular vertical porous layer," Int. J. Heat and Mass Transfer, Vol. 42, pp. 2313-2315, 1999.
[8] H. Beji, R. Bennacer and R. Duval, "Double-diffisive natural convection in a vertical porous annulus," Num. Heat Transfer, Part A, Vol. 36, pp. 153-170, 1999.
[9] P. W. Shipp, M. Shoukri, and M. B. Carver, "Double diffusive natural convection in a closed annulus," Num. Heat Transfer, Vol. 24, pp. 339– 356, 1993.
[10] S. Chen, J. Tolke, and M. Krafczyk, "Numerical investigation of doublediffusive (natural) convection in vertical annuluses with opposing temperature and concentration gradients," Int. J. Heat Fluid Flow, Vol. 31, pp. 217-226, 2010.
[11] J. Belabid and A.Cheddadi, "Comparative Numerical Simulation of Natural Convection in a Porous Horizontal Cylindrical Annulus," Applied Mechanics and Materials, Vol. 670 - 671, pp. 613 - 616, 2014.
[12] F. A. Hamad and M. K. Khan, "Natural Convection Heat Transfer in Horizontal and Inclined Annulus of Different Diameter Ratios," Energy Convers. Mgmt, Vol. 39, No. 8, pp. 797-807, 1998.
[13] H. H. Bau, G. McBlane, and I. Sarferstein, "Numerical simulation of thermal convection in an eccentric annulus containing porous media", ASME 83 WA/HT 34, 1983.
[14] M. C. Charrier-Mojtabi, "Numerical simulation of two- and three dimensional free convection flows in a horizontal porous annulus using a pressure and temperature formulation," Int. J. Heat Mass Transfer. Vol. 40, No. 7, pp. 1521-1533, 1997.
[15] G. Desrayaud, A. Fichera, M. Marcaux, and A. Pagano, "An analytical solution for the stationary behaviour of binary mixtures and pure fluids in a horizontal annular cavity," Int. J. Heat and Mass Transfer, Vol. 49, pp. 3253-3263, 2006.
[16] Z. Alloui, and P. Vasseur, "Natural convection in a horizontal Annular porous cavity saturated by a binary mixture," Computational Thermal Sciences, Vol. 3(5), pp. 407-417, 2011.