Numerical Study of Natural Convective Heat and Mass Transfer in an Inclined Porous Media
Abstract
In this study, two dimensional natural convection heat and mass transfer generated in an inclined rectangular porous cavity filled with Newtonian fluid has been investigated numerically. The cavity is heated and cooled along horizontal walls while the solutal gradient is imposed horizontally. The physical model for the momentum conservation equation makes use of the Darcy model, and the set of coupled equations is solved using a finite volume approach. The successive-under-relaxation (SUR) method is used in the solution of the stream function equation. The results are presented graphically in terms of streamlines, isotherms and iso-concentrations. The heat and mass transfer rate in the cavity is measured in terms of the average Nusselt and Sherwood numbers for various non-dimensional parameters.
Keywords:
natural convection, heat and mass transfer, finite volumes, inclined cavity, porous mediaDownloads
References
R. W. Schmitt, “Double diffusion in oceanography”, Annual Review of Fluid Mechanics, Vol. 26, pp. 255–285, 1994 DOI: https://doi.org/10.1146/annurev.fl.26.010194.001351
J. S. Turner, “Double diffusive phenomena”, Annual Review of Fluid Mechanics, Vol. 6, pp. 37–56, 1974 DOI: https://doi.org/10.1146/annurev.fl.06.010174.000345
S. Ostrach, “Natural convection with combined driving forces”, Physicochemical hydrodynamics, Vol. 1, No.4, pp. 233–247, 1980
D. Nield, A. Bejan, Convection in Porous Media, Spinger, 2006
D. B. Ingham, I. Pop, Transport phenomena in porous media, Elsevier, Oxford, 2005
P. Vadasz, Emerging topics in heat and mass transfer in porous media, Spinger, 2008 DOI: https://doi.org/10.1007/978-1-4020-8178-1
R. Viskanta, T. L. Bergman, F. P. Incropera, “Double diffusive natural convection”, in: Natural Convection: Fundamentals and Applications, Hemisphere, 1985
H. J. S. Fernando, “Buoyancy transfer across a diffusive interface”, Journal of Fluid Mechanics, Vol. 209, pp. l–34, 1989 DOI: https://doi.org/10.1017/S0022112089003010
T. Makayssi, M. Lamsaadi, M. Naimi, M. Hasnaoui, A. Raji, A. Bahlaoui, “Natural double-diffusive convection in a shallow horizontal rectangular cavity uniformly heated and salted from the side and filled with non-Newtonian power-law fluids: the cooperating case”, Energy Conversion and Management, Vol. 49, No. 8, pp. 2016–2025, 2008 DOI: https://doi.org/10.1016/j.enconman.2008.02.008
M .A. Teamah, “Numerical simulation of double diffusive natural convection in rectangular enclosure in the presences of magnetic field and heat source”, International Journal of Thermal Sciences, Vol. 47, No. 3, pp. 237–248, 2008 DOI: https://doi.org/10.1016/j.ijthermalsci.2007.02.003
H. S. Harzallah, A. Jbara, K. Slimi, “Double-diffusive natural convection in anisotropic porous medium bounded by finite thickness walls: validity of local thermal equilibrium assumption”, Transport in Porous Media, Vol. 103, No. 2, pp. 207–231, 2014 DOI: https://doi.org/10.1007/s11242-014-0298-3
Z. Alloui, P. Vasseur, “Convection of a binary fluid in a shallow porous cavity heated and salted from the sides”, Computers & Fluids, Vol. 81, pp. 85–94, 2013 DOI: https://doi.org/10.1016/j.compfluid.2013.04.011
R. Nikbakhti, J. Khodakhah, “Numerical investigation of double diffusive buoyancy forces induced natural convection in a cavity partially heated and cooled from sidewalls”, Engineering Science and Technology, an International Journal, Vol. 19, No. 1, pp. 322-337, 2016 DOI: https://doi.org/10.1016/j.jestch.2015.08.003
M. A. Teamah, M. K. Dawood, W. M. El-Maghlany, “Double diffusive natural convection in a square cavity with segmental heat sources”, Scientific Research, Vol. 54, No.2, pp. 287-301, 2011
V. Trevisan, A. Bejan, “Mass and heat transfer by high Rayleigh number convection in a porous medium heated from below”, International Journal of Heat and Mass Transfer, Vol. 30, No. 11, pp. 2341–2356, 1987 DOI: https://doi.org/10.1016/0017-9310(87)90226-2
V. J. Bansod, R. K. Jadhav, “An integral treatment for combined heat and mass transfer by natural convection along a horizontal surface in a porous medium”, International Journal of Heat and Mass Transfer, Vol 52, No. 11-12, pp. 2802–2806, 2009 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2008.12.015
F. Zhao, D. Liu, G. Tang, “Natural convection in an enclosure with localized heating and salting from below”, International Journal of Heat and Mass Transfer, Vol. 51, No. 11-12, pp. 2889–2904, 2008 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2007.09.032
L. Abdelkrim, D. Mahfoud, “Convective heat and solute transfer in Newtonian fluid saturated inclined porous cavity”, International Journal of Physical Research, Vol. 2, pp. 78-84, 2014 DOI: https://doi.org/10.14419/ijpr.v2i2.3372
A. A. Mohamad, R. Bennacer, “Natural convection in a confined saturated porous medium with horizontal temperature and vertical solutal gradients”, International Journal of Thermal Sciences, Vol. 40, No. 1, pp. 82–93, 2001 DOI: https://doi.org/10.1016/S1290-0729(00)01182-0
M. Bourich, A. Amahmid, M. Hasnaoui, “Double diffusive convection in a porous enclosure submitted to cross gradients of temperature and concentration”, Energy Conversion and Management, Vol. 45, No. 11-12, pp. 1655–1670, 2004 DOI: https://doi.org/10.1016/j.enconman.2003.10.003
S. Roy, T. Basak, “Finite element analysis of natural convection flows in a square cavity with non-uniformly heated walls”, International Journal of Engineering Science, Vol. 43, No. 8-9, pp. 668–680, 2005 DOI: https://doi.org/10.1016/j.ijengsci.2005.01.002
S. Patankar, Numerical Heat Transfer and Fluid flow, Hemisphere, 1980
Downloads
How to Cite
License
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.
