On the validity of a numerical model predicting heat and mass transfer in porous square cavities with a bottom thermal and solute source: case of pollutants spreading and fuel leaks

Karim Ragui; Abdelkader Boutra; Youb Khaled Benkahla

doi:10.1051/meca/2015109

All issues

Volume 17 / No 3 (2016)

Mechanics & Industry, 17 3 (2016) 311

References

Open Access

Issue		Mechanics & Industry Volume 17, Number 3, 2016


Article Number		311
Number of page(s)		9
DOI		https://doi.org/10.1051/meca/2015109
Published online		29 February 2016

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[1] D.A. Nield, A. Bejan, Convection in porous media, Springer, Berlin, 1992 [Google Scholar]

[2] S. Ostrach, Natural convection with combined driving forces, Phys. Chem. Hydrodyn. 1 (1980) 233–247 [Google Scholar]

[3] Y. Kamotani, L.W. Wang, S. Ostrach, H.D. Jiang, Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients, Int. J. Heat Mass Transfer 28 (1985) 165–173 [CrossRef] [Google Scholar]

[4] J. Lee, M.T. Hyun, K.W. Kim, Natural convection in confined fluids with combined horizontal temperature and concentration gradients, Int. J. Heat Mass Transfer 31 (1988) 1969–1977 [CrossRef] [Google Scholar]

[5] L.W. Wang, J.J. Chert, Flow patterns of thermosolutale convection in low aspect ratio enclosures, Experimental Heat Transfer 1 (1987) 197–204 [CrossRef] [Google Scholar]

[6] M. Mamou, P. Vasseur, E. Belgen, Multiple solutions for double-diffusive convection in a vertical porous enclosure, Int. J. Heat Mass Transfer 38 (1995) 1787–1798 [Google Scholar]

[7] C. Benard, D. Gobin, J. Thevenin, Thermosolutale natural convection in a rectangular enclosure: Numerical Results, in Heat Transfer in Convective Flows, edited by R.K. Shah, ASME, New York, 1989, pp. 249–254 [Google Scholar]

[8] H. Han, T.H. Kuehn, A numerical simulation of double diffusive natural convection in a vertical rectangular enclosure, in Heat Transfer in Convective Flows, edited by R.K. Shah, ASME, New York, 1989, pp. 149–154 [Google Scholar]

[9] J. Chang, T.F. Lin, C.H. Chien, Unsteady thermosolutal opposing convection of a liquid-water mixture in a square cavity – I: Flow formation and heat and mass transfer characteristics, Int. J. Heat Mass Transfer 36 (1993) 1315–1331 [CrossRef] [Google Scholar]

[10] J. Chang, T.F. Lin, Unsteady thermosolutal opposing convection of liquid-water mixture in a square cavity – II: Flow structure and fluctuation analysis, Int. J. Heat Mass Transfer 36 (1993) 1333–1345 [CrossRef] [Google Scholar]

[11] D.A. Nield, Onset of thermohaline convection in a porous medium, Water Res. 4 (1968) 553–560 [CrossRef] [Google Scholar]

[12] J.W. Taunton, E.N. Lightfoot, T. Green, Thermohaline instability and salt fingers in porous medium, Phys. Fluids 15 (1972) 748–753 [CrossRef] [Google Scholar]

[13] D. Poulikakos, Double-diffusive convection in a horizontal sparsely packed porous layer, Int. Commun. Heat Mass Transfer 13 (1986) 587–598 [CrossRef] [Google Scholar]

[14] F. Chen, Double-diffusive fingering convection in a porous medium, Int. J. Heat Mass Transfer 36 (1993) 793–807 [CrossRef] [Google Scholar]

[15] O. Trevisan, A. Bejan, Heat and mass transfer by high Rayleigh number convection in a porous medium heated from below, Int. J. Heat Mass Transfer 30 (1987) 2341–2356 [CrossRef] [Google Scholar]

[16] T.F. Lin, C.C. Huang, T.S. Chang, Transient binary mixture natural convection in a square enclosure, Int. J. Heat Mass Transfer 33 (1990) 287–299 [CrossRef] [Google Scholar]

[17] R. Bennacer, Thermosolutal convection: fluid flow and heat transfer numerical simulations, Ph.D. thesis, Pierre and Marie Curie, Paris, 1993 [Google Scholar]

[18] S.V. Patankar, Numerical heat transfer and fluid flow, Mc Grow, New York, 1980 [Google Scholar]

[19] N. Hadidi, Y. Ould Amer, R. Bennacer, Bi-layered and inclined porous collector: Optimum heat and mass transfer, Energy 51 (2013) 422–430 [CrossRef] [Google Scholar]

[20] J.A. Weaver, R. Viskanta, Natural convection in binary gases driven by combined horizontal thermal and vertical solutal gradients, Exp. Thermal Fluid Sci. 5 (1992) 57–68 [CrossRef] [Google Scholar]

[21] O. Trevisan, A. Bejan, Natural convection with combined heat and mass transfer buoyancy effects in a porous medium, Int. J. Heat Mass Transfer 28 (1985) 1597–1611 [CrossRef] [Google Scholar]

[22] A.M. Abdulmajeed, R. Bennacer, Natural convection in a confined saturated porous medium with horizontal temperature and vertical solutal gradients, Int. J. Thermal Sci. 40 (2001) 82–93 [Google Scholar]