3D Thermosolutal Convection within Porous Media

Abstract:

The present work aims to study convection and heat transfer and mass in a porous cubic cavity. The configuration considered is a cavity cube with vertical walls left and right are subjected to temperatures required while others are impermeable and adiabatic. We realized that the results depend on several characteristic parameters, and general correlations are established for the calculation of heat and mass transfer, according to various studied parameters. The study focuses on the influence of the control parameters on the structure of the flow, heat and mass transfer.

• Periodical: Defect and Diffusion Forum (Volume 348)
• Pages: 27-39
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.348.27
• Online since: January 2014
• Authors: Kacem Amel, Oueslati Fakhreddine, Rachid Bennacer, Elcafsi Afif
• Keywords: Natural Convection, Porous Medium, Thermosolutal, Three-Dimensional

References

[1] D.A. Nield, Adrian Bejan, Convection in Porous Media, 4th ed., Springer, (2013).

[2] A. D. Nield, Onset of thermohaline convection in a porous medium. Water Resources Res. 4 (1968) 553-560.

DOI: 10.1029/wr004i003p00553

[3] F. S. Oueslati, R. Bennacer, H. Sammouda and A. Belghith, Thermosolutal convection during melting in a porous media saturated with aqueus solution, Numerical Heat Transfer, Part A 54 (2008) 315–330.

DOI: 10.1080/10407780802084637

[4] Mohamed A., Bennacer R., Double diffusion, natural convection in an enclosure filled with saturated porous medium subjected to cross gradients; stably stratified fluid, Int. J of Heat and Mass Transfer vol. 45 (2002) 3725–3740.

DOI: 10.1016/s0017-9310(02)00093-5

[5] F. S. Oueslati, R. Bennacer, H. Sammouda and A. Belghith, Numerical study of thermosolutal convection in anisotropic porous media subject to cross-fulxes of heat and mass, Journal of Porous Media 9(1) (2006) 1–13.

DOI: 10.1615/jpormedia.v9.i1.50

[6] Murray B., T. and Chen C., F., Double-Diffusive Convection in porous Medium, J. Fluid Mechanics. 201 (1989) 147-166.

DOI: 10.1017/s002211208900087x

[7] Karimi-Fard M., Charrier-Mojtabi M.C. and Vafai K., Non-Darcien Effects on Double-Diffusive Convection, within a Porous Medium. Num. Heat transfer. a 31 (1997) 837-852.

DOI: 10.1080/10407789708914067

[8] M. Kaviancy, Principals of heat Transfer in porous media, Springer, (1995).

[9] H. Darcy, Les fontaines publiques de la ville de Dijon, Victor Dalmont, Paris, 1856.

[10] H. C. Brinkman, A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles, Appl. Sci. Res., Vol. A1 (1947) 27-34.

DOI: 10.1007/bf02120313

[11] G. Neale et Nader, W, Practical significance of Brinkman's extension of Darcy's law: coupled parallel flows within a channel and a bounding porous medium, The Canadian J. Chem. Eng., 52 (1974) 475-478.

DOI: 10.1002/cjce.5450520407

[12] R. C. Gilver et Alltobelli S. A., A determination of effective viscosity for the Brinkman-Forcheimer flow model, J. Fluid Mech., 258 (1994) 355-370.

[13] J. C. Ward, Turbulent flow in porous media, J. Hyd. Div. ASCE, 90 (1964) 1-12.

[14] R. A. Wooding, Steady state free thermal convection of liquid in a saturated permeable medium, J. Fluid Mech., 2 (1957) 273-285.

DOI: 10.1017/s0022112057000129

[15] Ri. Ben Yedder, F. Erchiqui, Convective flow and heat transfer in a tall porous cavity side-cooled with temperature profile, Heat and mass Transfer 52 (2009) 5712-5718.

DOI: 10.1016/j.ijheatmasstransfer.2009.08.016

[16] H. Nawaf Saeid, Conjugate natural convection in a vertical porous layer sandwiched by finite thickness walls, Heat and Mass transfer, 34 (2007) 210-216.

DOI: 10.1016/j.icheatmasstransfer.2006.11.003

[17] A. Haghshenas, M. Rafati Nasr, M.H. Rahimian, Numerical simulation of natural convection in an open-ended square cavity filled with porous medium by lattice Boltzmann method, Int. Journal of Heat and Mass Transfer, 37 (2010) 1513-1519.

DOI: 10.1016/j.icheatmasstransfer.2010.08.006

[18] P. Vasseur, A.A. mahmid, Etude analytique et numérique de la convection naturelle dans une couche poreuse de Brinkman doublement diffusive, Int.J. of heat and mass transfer, 42 (1999) 2991-3005.

DOI: 10.1016/s0017-9310(98)00223-3

[19] W. J. Chang, H. C. Lin, Natural convection in a finite wall rectangular cavity filled with an anisotropic porous medium, Int. J. Heat and Mass Transfer, 37 N°2 (1994) 303-312.

DOI: 10.1016/0017-9310(94)90101-5

[20] H. F. Oztop, Natural convection in partially cooled and inclined porous rectangular enclosures, Int. Journal of Thermal Sciences, 46 (2007) 149-156.

DOI: 10.1016/j.ijthermalsci.2006.04.009

[21] Y. Varol, F. Hakan Oztop, I. Pop, Natural convection in a diagonally divided square cavity filled with a porous medium, International Journal of Thermal Sciences, 48 (2009) 1405-1415.

DOI: 10.1016/j.ijthermalsci.2008.12.015

[22] R. Bennacer, H. Beji, F. Oueslati et A. Belghith, Multiple natural convection solution in porous media under cross temperature and concentration gradients, Numerical Heat Transfer, Part A 39 (2001) 553-567.

DOI: 10.1080/104077801750178860

[23] O. Rahli, R. Bennacer, K. Bouhadef, and D. E. Ameziani, Three-dimensional mixed convection heat and mass transfer in rectangular duct: Case of longitudinal rolls, Num. Heat Transfer, Part A 59 (2011) 349-371.

DOI: 10.1080/10407782.2011.549081

[24] J. Ravnik, L. Skerget, and Z. Zunic, Velocity-Vorticity Formulation for 3-D Natural Convection in an Inclined Enclosure by BEM, Int. J. Heat Mass Transfer, 51 (2008) 4517-4527.

DOI: 10.1016/j.ijheatmasstransfer.2008.01.018