Open Science Research Excellence

Open Science Index

Commenced in January 2007 Frequency: Monthly Edition: International Publications Count: 29847


Select areas to restrict search in scientific publication database:
10000072
Unsteady Natural Convection in a Square Cavity Partially Filled with Porous Media Using a Thermal Non-Equilibrium Model
Abstract:
Unsteady natural convection and heat transfer in a square cavity partially filled with porous media using a thermal non-equilibrium model is studied in this paper. The left vertical wall is maintained at a constant hot temperature Th and the right vertical wall is maintained at a constant cold temperature Tc, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL’s finite element method is used to solve the non-dimensional governing equations together with specified boundary conditions. The governing parameters of this study are the Rayleigh number (Ra = 10^5, and Ra = 10^6 ), Darcy namber (Da = 10^−2, and Da = 10^−3), the modified thermal conductivity ratio (10^−1 ≤ γ ≤ 10^4), the inter-phase heat transfer coefficien (10^−1 ≤ H ≤ 10^3) and the time dependent (0.001 ≤ τ ≤ 0.2). The results presented for values of the governing parameters in terms of streamlines in both fluid/porous-layer, isotherms of fluid in fluid/porous-layer, isotherms of solid in porous layer, and average Nusselt number.
Digital Object Identifier (DOI):

References:

[1] G. S. Beavers and D. D. Joseph, “Boundary conditions at a naturally permeable wall,” Journal of fluid mechanics, 30(01):197–207, 1967.
[2] C. Beckermann, S. Ramadhyani, and R. Viskanta, “Natural convection flow and heat transfer between a fluid layer and a porous layer inside a rectangular enclosure,” Journal of heat transfer, 109(2):363–370, 1987.
[3] C. Beckermann, R. Viskanta, and S. Ramadhyani, “Natural convection in vertical enclosures containing simultaneously fluid and porous layers,” Journal of Fluid Mechanics, 186:257–284, 1988.
[4] F. Chen and C. F. Chen, “Experimental investigation of convective stability in a superposed fluid and porous layer when heated from below,” Journal of Fluid Mechanics, 207:311–321, 1989.
[5] P. L. Breton, J. P. Caltagirone, and E. Arquis, “Natural convection in a square cavity with thin porous layers on its vertical walls,” Journal of heat transfer, 113(4):892–898, 1991.
[6] I. T. Webster, S. J. Norquay, F. C. Ross, and R. A. Wooding, “Solute exchange by convection within estuarine sediments,” Estuarine, Coastal and Shelf Science, 42(2):171–183, 1996.
[7] B. Goyeau, D. Lhuillier, D. Gobin, and M. G. Velarde, “Momentum transport at a fluid–porous interface,” International Journal of Heat and Mass Transfer, 46(21):4071–4081, 2003.
[8] D. Gobin, B. Goyeau, and A. Neculae, “Convective heat and solute transfer in partially porous cavities,” International Journal of Heat and Mass Transfer, 48(10):1898–1908, 2005.
[9] M. Prat, “Modelling of heat transfer by conduction in a transition region between a porous medium and an external fluid,” Transport in porous media, 5(1):71–95, 1990.
[10] J. Alberto O. Tapia and S. Whitaker, “Heat transfer at the boundary between a porous medium and a homogeneous fluid,” International Journal of Heat and Mass Transfer, 40(11):2691–2707, 1997.
[11] O. M. Haddad, “Fully developed free convection in open-ended vertical channels partially filled with porous material,” Journal of Porous Media, 2(2), 1999.
[12] A. dHueppe, M. Chandesris, D. Jamet, and B. Goyeau, “Boundary conditions at a fluid–porous interface for a convective heat transfer problem: Analysis of the jump relations,” International Journal of Heat and Mass Transfer, 54(15):3683–3693, 2011.
[13] S. A. Khashan, A. M. Al-Amiri, and M. A. Al-Nimr, “Assessment of the local thermal non-equilibrium condition in developing forced convection flows through fluid-saturated porous tubes,” Applied thermal engineering, 25(10):1429–1445, 2005.
[14] P. Forooghi, M. Abkar, and M. Saffar-Avval, “Steady and unsteady heat transfer in a channel partially filled with porous media under thermal non-equilibrium condition,” Transport in porous media, 86(1):177–198, 2011.
[15] A. dHueppe, M. Chandesris, D. Jamet, and B. Goyeau, “Coupling a two-temperature model and a one-temperature model at a fluid-porous interface,” International Journal of Heat and Mass Transfer, 55(9): 2510–2523, 2012.
[16] M. Mharzi, M. Daguenet, and S. Daoudi, “Thermosolutal natural convection in a vertically layered fluid-porous medium heated from the side,” Energy conversion and management, 41(10):1065–1090, 2000.
[17] S. B. Sathe, W. Q. Lin, and T. W. Tong, “Natural convection in enclosures containing an insulation with a permeable fluid-porous interface,” International journal of heat and fluid flow, 9(4):389–395, 1988.
[18] A. Baytas and I. Pop, “Free convection in a square porous cavity using a thermal nonequilibrium model,” International Journal of Thermal Sciences, 41(9):861–870, 2002.
Vol:13 No:07 2019Vol:13 No:06 2019Vol:13 No:05 2019Vol:13 No:04 2019Vol:13 No:03 2019Vol:13 No:02 2019Vol:13 No:01 2019
Vol:12 No:12 2018Vol:12 No:11 2018Vol:12 No:10 2018Vol:12 No:09 2018Vol:12 No:08 2018Vol:12 No:07 2018Vol:12 No:06 2018Vol:12 No:05 2018Vol:12 No:04 2018Vol:12 No:03 2018Vol:12 No:02 2018Vol:12 No:01 2018
Vol:11 No:12 2017Vol:11 No:11 2017Vol:11 No:10 2017Vol:11 No:09 2017Vol:11 No:08 2017Vol:11 No:07 2017Vol:11 No:06 2017Vol:11 No:05 2017Vol:11 No:04 2017Vol:11 No:03 2017Vol:11 No:02 2017Vol:11 No:01 2017
Vol:10 No:12 2016Vol:10 No:11 2016Vol:10 No:10 2016Vol:10 No:09 2016Vol:10 No:08 2016Vol:10 No:07 2016Vol:10 No:06 2016Vol:10 No:05 2016Vol:10 No:04 2016Vol:10 No:03 2016Vol:10 No:02 2016Vol:10 No:01 2016
Vol:9 No:12 2015Vol:9 No:11 2015Vol:9 No:10 2015Vol:9 No:09 2015Vol:9 No:08 2015Vol:9 No:07 2015Vol:9 No:06 2015Vol:9 No:05 2015Vol:9 No:04 2015Vol:9 No:03 2015Vol:9 No:02 2015Vol:9 No:01 2015
Vol:8 No:12 2014Vol:8 No:11 2014Vol:8 No:10 2014Vol:8 No:09 2014Vol:8 No:08 2014Vol:8 No:07 2014Vol:8 No:06 2014Vol:8 No:05 2014Vol:8 No:04 2014Vol:8 No:03 2014Vol:8 No:02 2014Vol:8 No:01 2014
Vol:7 No:12 2013Vol:7 No:11 2013Vol:7 No:10 2013Vol:7 No:09 2013Vol:7 No:08 2013Vol:7 No:07 2013Vol:7 No:06 2013Vol:7 No:05 2013Vol:7 No:04 2013Vol:7 No:03 2013Vol:7 No:02 2013Vol:7 No:01 2013
Vol:6 No:12 2012Vol:6 No:11 2012Vol:6 No:10 2012Vol:6 No:09 2012Vol:6 No:08 2012Vol:6 No:07 2012Vol:6 No:06 2012Vol:6 No:05 2012Vol:6 No:04 2012Vol:6 No:03 2012Vol:6 No:02 2012Vol:6 No:01 2012
Vol:5 No:12 2011Vol:5 No:11 2011Vol:5 No:10 2011Vol:5 No:09 2011Vol:5 No:08 2011Vol:5 No:07 2011Vol:5 No:06 2011Vol:5 No:05 2011Vol:5 No:04 2011Vol:5 No:03 2011Vol:5 No:02 2011Vol:5 No:01 2011
Vol:4 No:12 2010Vol:4 No:11 2010Vol:4 No:10 2010Vol:4 No:09 2010Vol:4 No:08 2010Vol:4 No:07 2010Vol:4 No:06 2010Vol:4 No:05 2010Vol:4 No:04 2010Vol:4 No:03 2010Vol:4 No:02 2010Vol:4 No:01 2010
Vol:3 No:12 2009Vol:3 No:11 2009Vol:3 No:10 2009Vol:3 No:09 2009Vol:3 No:08 2009Vol:3 No:07 2009Vol:3 No:06 2009Vol:3 No:05 2009Vol:3 No:04 2009Vol:3 No:03 2009Vol:3 No:02 2009Vol:3 No:01 2009
Vol:2 No:12 2008Vol:2 No:11 2008Vol:2 No:10 2008Vol:2 No:09 2008Vol:2 No:08 2008Vol:2 No:07 2008Vol:2 No:06 2008Vol:2 No:05 2008Vol:2 No:04 2008Vol:2 No:03 2008Vol:2 No:02 2008Vol:2 No:01 2008
Vol:1 No:12 2007Vol:1 No:11 2007Vol:1 No:10 2007Vol:1 No:09 2007Vol:1 No:08 2007Vol:1 No:07 2007Vol:1 No:06 2007Vol:1 No:05 2007Vol:1 No:04 2007Vol:1 No:03 2007Vol:1 No:02 2007Vol:1 No:01 2007