{"title":"Heat and Mass Transfer in a Saturated Porous Medium Confined in Cylindrical Annular Geometry","authors":"A. Ja, J. Belabid, A. Cheddadi","volume":100,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":604,"pagesEnd":609,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10001050","abstract":"
This paper reports the numerical simulation of doublediffusive
\r\nnatural convection flows within a horizontal annular filled
\r\nwith a saturated porous medium. The analysis concerns the influence
\r\nof the different parameters governing the problem, namely, the
\r\nRayleigh number Ra, the Lewis number Le and the buoyancy ratio N,
\r\non the heat and mass transfer and on the flow structure, in the case of
\r\na fixed radius ratio R = 2. The numerical model used for the
\r\ndiscretization of the dimensionless equations governing the problem
\r\nis based on the finite difference method, using the ADI scheme. The
\r\nstudy is focused on steady-state solutions in the cooperation situation.<\/p>\r\n","references":"[1] M. Mamou, P. Vasseur and M. Hasnaoui, \"On numerical stability\r\nanalysis of double diffusive convection in confined enclosures,\" Journal\r\nof Fluid Mechanics, Vol. 433, pp. 209-250, 2001.\r\n[2] D. B. Rafael, E. Crespo del Arco, P. Bontoux and J. Ouazzani,\r\n\"Convection and instabilities in differentially heated inclined shallow\r\nrectangular boxes,\" C. R. Acad. Sci. Paris, t. 326, Serie II B, pp. 711-\r\n718, 1998.\r\n[3] D. Gobin and R. Bennacer, \"Cooperating thermosolutal convection in\r\nenclosures - II. Heat transfer and flow structure,\" Int. J. Heat Mass\r\nTransfer, Vol. 39, No. 13, pp. 2683-2697, 1996.\r\n[4] O. V. Trevisan and A. Bejan, \"Natural convection with combined heat\r\nand mass transfer buoyancy effects in a porous medium,\" Int. J. Heat\r\nMass Transfer, Vol. 38, No. 8, pp. 1597-1611, 1985.\r\n[5] F. Alavyon, \"On natural convection in vertical porous enclosures due to\r\nprescribed fluxes of heat and mass at the vertical boundaries,\" Int. J.\r\nHeat Mass Transfer, Vol. 36, No. 10, pp. 2479-2498, 1993.\r\n[6] M. Hasnaoui, P. Vasseur, E. Bilgen and L.Robillard, \"Analytical and\r\nnumerical study of natural convection heat transfer in a vertical porous\r\nannulus,\" Chen. Eng. Comm., Vol. 136, pp. 77-94, 1995.\r\n[7] M. Marcoux, M.-C Charrier-Mojtabi and M. Azaiez, \"Double diffisive\r\nconvection in an annular vertical porous layer,\" Int. J. Heat and Mass\r\nTransfer, Vol. 42, pp. 2313-2315, 1999.\r\n[8] H. Beji, R. Bennacer and R. Duval, \"Double-diffisive natural convection\r\nin a vertical porous annulus,\" Num. Heat Transfer, Part A, Vol. 36, pp.\r\n153-170, 1999.\r\n[9] P. W. Shipp, M. Shoukri, and M. B. Carver, \"Double diffusive natural\r\nconvection in a closed annulus,\" Num. Heat Transfer, Vol. 24, pp. 339\u2013\r\n356, 1993.\r\n[10] S. Chen, J. Tolke, and M. Krafczyk, \"Numerical investigation of doublediffusive\r\n(natural) convection in vertical annuluses with opposing\r\ntemperature and concentration gradients,\" Int. J. Heat Fluid Flow, Vol.\r\n31, pp. 217-226, 2010.\r\n[11] J. Belabid and A.Cheddadi, \"Comparative Numerical Simulation of\r\nNatural Convection in a Porous Horizontal Cylindrical Annulus,\"\r\nApplied Mechanics and Materials, Vol. 670 - 671, pp. 613 - 616, 2014.\r\n[12] F. A. Hamad and M. K. Khan, \"Natural Convection Heat Transfer in\r\nHorizontal and Inclined Annulus of Different Diameter Ratios,\" Energy\r\nConvers. Mgmt, Vol. 39, No. 8, pp. 797-807, 1998.\r\n[13] H. H. Bau, G. McBlane, and I. Sarferstein, \"Numerical simulation of\r\nthermal convection in an eccentric annulus containing porous media\",\r\nASME 83 WA\/HT 34, 1983.\r\n[14] M. C. Charrier-Mojtabi, \"Numerical simulation of two- and three\r\ndimensional free convection flows in a horizontal porous annulus using\r\na pressure and temperature formulation,\" Int. J. Heat Mass Transfer. Vol.\r\n40, No. 7, pp. 1521-1533, 1997.\r\n[15] G. Desrayaud, A. Fichera, M. Marcaux, and A. Pagano, \"An analytical\r\nsolution for the stationary behaviour of binary mixtures and pure fluids\r\nin a horizontal annular cavity,\" Int. J. Heat and Mass Transfer, Vol. 49,\r\npp. 3253-3263, 2006.\r\n[16] Z. Alloui, and P. Vasseur, \"Natural convection in a horizontal Annular\r\nporous cavity saturated by a binary mixture,\" Computational Thermal\r\nSciences, Vol. 3(5), pp. 407-417, 2011.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 100, 2015"}