EFFECTS OF POROSITY AND HEAT GENERATION ON FREE CONVECTION IN A POROUS TRAPEZOIDAL CAVITY

Main Article Content

M. M. MOUSA

Abstract

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.

Article Details

How to Cite
MOUSA, M. M.. EFFECTS OF POROSITY AND HEAT GENERATION ON FREE CONVECTION IN A POROUS TRAPEZOIDAL CAVITY. Thermal Science, [S.l.], dec. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/2439>. Date accessed: 24 feb. 2018. doi: https://doi.org/10.2298/TSCI170324245M.
Section
Articles
Received 2017-12-08
Accepted 2017-12-08
Published 2017-12-08

References

[1] Lam, S., Gani, R., Simons, J., Experimental and numerical studies of natural convection in trapezoidal cavities, ASME J. Heat Transfer, 111 (1989), pp. 372-377
[2] Arici, M.E., Sahin, B., Natural convection heat transfer in a partially divided trapezoidal enclosure, Thermal Science, 13 (2009), 4, pp. 213-220
[3] 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
[4] 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
[5] Weir, G.J., The relative importance of convective and conductive effects in two-phase geothermal fields, Transport Porous Media, 16 (1994), pp. 289-298
[6] 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
[7] 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
[8] 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
[9] 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
[10] 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
[11] 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
[12] 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
[13] 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
[14] 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
[15] 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
[16] 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
[17] 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
[18] 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
[19] 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
[20] 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
[21] 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
[22] Basak, T., Ayappa, K.G., Influence of internal convection during microwave thawing of cylinders, AIChE J., 47 (2001), pp. 835-850
[23] Nassehi, V., Parvazinia, M., Finite Element Method in Engineering, Imperial College Press, London, 2010
[24] 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
[25] Liu, G.R., Quek, S.S., The Finite Element Method: A Practical Course, Butterworth-Heinemann, New York, 2003