Main Article Content
The problem of laminar free convection in a trapezoidal enclosure, filled with a fluid-saturated porous medium and with internal heat generation has been investigated using a penalty finite element analysis. The enclosure bottom wall is heated at a constant temperature and the top wall is subjected to a constant cold temperature whereas the left inclined wall is considered to be non-isothermal and the right inclined wall is isothermally cooled. The effects of the porosity of the medium and heat generation on the isotherms and streamlines are investigated. The rate of heat transfer from the walls of the cavity is examined as well. The Prandtl number of the fluid is chosen to be 0.7 (air) whereas the value of the Rayleigh number is selected to be 105.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright of the published article and have the right to use the article in the ways permitted to third parties under the - Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence. Full bibliographic information (authors, article title, journal title, volume, issue, pages) about the original publication must be provided and a link must be made to the article's DOI.
The authors and third parties who wish use the article in a way not covered by the the -Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence must obtain a written consent of the publisher. This license allows others to download the paper and share it with others as long as they credit the journal, but they cannot change it in any way or use it commercially.
Authors grant to the publisher the right to publish the article, to be cited as its original publisher in case of reuse, and to distribute it in all forms and media.
 Arici, M.E., Sahin, B., Natural convection heat transfer in a partially divided trapezoidal enclosure, Thermal Science, 13 (2009), 4, pp. 213-220
 Lasfer, K., Bouzaiane, M., Lili, T., Numerical study of laminar natural convection in a sideheated trapezoidal cavity at various inclined heated sidewalls, Heat Transfer Eng., 31 (2010), 5, pp. 362-373
 Selimefendigil, F., Öztop, H.F., Chamkha, A.J., Analysis of mixed convection of nanofluid in a 3D lid-driven trapezoidal cavity with flexible side surfaces and inner cylinder, International Communications in Heat and Mass Transfer, 87 (2017) pp. 40-51
 Weir, G.J., The relative importance of convective and conductive effects in two-phase geothermal fields, Transport Porous Media, 16 (1994), pp. 289-298
 Gao, D., Chen, Z., Lattice boltzmann simulation of natural convection dominated melting in a rectangular cavity filled with porous media, Int. J. Therm. Sci., 50 (2011), pp. 493-501
 Abdesslem, J., Khalifa, S., Abdelaziz, N., Abdallah, M., Radiative properties effects on unsteady natural convection inside a saturated porous medium: application for porous heat exchangers, Energy, 61 (2013), pp. 224-233
 Khaled, A.R.A., Vafai, K., The role of porous media in modeling flow and heat transfer in biological tissues, Int. J. Heat Mass Transfer, 46 (2003), pp. 4989-5003
 Mousa, M.M., Finite element investigation of stationary natural convection of light and heavy water in a vessel containing heated rods, Zeitschrift für Naturforschung A, 67a (2012), 6/7, pp. 421-427
 Darvishi, M.T., Gorla, R.R., Khani, F., Aziz, A., Natural convection heat transfer in a partially divided trapezoidal enclosure, Thermal Science, 19 (2015), 2, pp. 669-678
 Rahman, M.M., Oztop, H.F., Saidur, R., Mekhilef, S., Al-Salem, K., Unsteady mixed convection in a porous media filled lid-driven cavity heated by a semi-circular heaters, Thermal Science, 19 (2015), 5, pp. 1761-1768
 Mousa, M.M., Modeling of laminar buoyancy convection in a square cavity containing an obstacle, Bulletin of the Malaysian Mathematical Sciences Society, 39 (2016), 2, pp. 483-498
 Selimefendigil, F., Modeling and prediction of effects of time-periodic heating zone on mixed convection in a lid-driven cavity filled with fluid-saturated porous media, Arab. J. Sc.i Eng., 41 (2016), 11, pp. 4701-4718
 Selimefendigil, F., Ismael, M.A., Chamkha, A.J., Mixed convection in superposed nanofluid and porous layers in square enclosure with inner rotating cylinder, International Journal of Mechanical Sciences, 124-125 (2017), pp. 95-108
 Ismael, M.A., Selimefendigil, F., Chamkha, A.J., Mixed convection in a vertically layered fluidporous medium enclosure with two inner rotating cylinders, Journal of Porous Media, 20 (2017), 6, pp. 491-511
 Sheremet, M.A., Pop, I., Free convection in wavy porous enclosures with non-uniform temperature boundary conditions filled with a nanofluid: Buongiorno's mathematical mode, Thermal Science, 21 (2017), 3, pp. 1183-1193
 Aramayo, A.M., Esteban, S., Cardon, L., Conjugate heat transfer in a two stage trapezoidal cavity stack, Lat. Am. Appl. Res., 39 (2009), pp. 1-9
 Papanicolaou, E., Belessiotis, V., Double-diffusive natural convection in an asymmetric trapezoidal enclosure: unsteady behavior in the laminar and the turbulent-flow regime, Int. J. Heat Mass Transfer, 48 (2005), pp. 191-209
 Reddy K.S., Kumar, K.R., Estimation of convective and radiative heat losses from an inverted trapezoidal cavity receiver of solar linear fresnel reflector system, Int. J. Therm. Sci., 80 (2014), pp. 48-57
 Hossain, M.A., Wilson, M., Natural convection flow in a fluid-saturated porous medium enclosed by non-isothermal walls with heat generation, Int. J. Therm. Sci., 41 (2002), pp. 447-454
 Mousa, M.M., Finite element simulation of an unimolecular thermal decomposition inside a reactor, Journal of Applied Mathematics and Physics, 4 (2016), 2, pp. 328- 340
 Basak, T., Ayappa, K.G., Influence of internal convection during microwave thawing of cylinders, AIChE J., 47 (2001), pp. 835-850
 Nassehi, V., Parvazinia, M., Finite Element Method in Engineering, Imperial College Press, London, 2010
 Parvin, S., Nasrin, R., Analysis of the flow and heat transfer characteristics for MHD free convection in an enclosure with a heated obstacle, Nonlinear Analysis: Modelling and Control 16 (2011), 1, pp. 89-99
 Liu, G.R., Quek, S.S., The Finite Element Method: A Practical Course, Butterworth-Heinemann, New York, 2003