International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.4, Aug. 2015, Pub. Date: Jun. 10, 2015
Study of Free Convection in Enclosure Partially Filled with Porous Media
Pages: 214-226 Views: 1850 Downloads: 1078
[01] Mojtaba Aghajani Delavar, Corresponding Author, Faculty of Mechanical Engineering, Babol University of Technology Babol, Babol, Iran.
[02] Elham Sattari, Faculty of Mechanical Engineering, Babol University of Technology Babol, Babol, Iran.
This study investigates the effect of porous media location over the natural convection heat transfer and related entropy generation inside a square cavity. A two dimensional lattice Boltzmann model with nine velocities was used to solve the problem numerically. The simulations were done for different Rayleigh numbers, porous part configurations and porosities. The main differences and gradients in fluid temperature take place near the hot and cold walls. Therefore in models which porous part was accumulated near these walls, fluid flow patterns were more affected by porous part and more variations were observed in comparison with clear case. In addition, these models were most sensitive to porosity. It was seen that the effect of porosity and porous part location on flow field increased for higher Rayleigh numbers. In all models it was illustrated that existence of porous media causes an increase in the amount of non-dimensional entropy generation.
Natural Convection, Enclosure, Entropy Generation, Lattice Boltzmann Method, Porous
[01] Oosthuizen, P.H., Naylor, D., Introduction to Convective Heat Transfer Analysis. McGraw-Hill, New York, 1992.
[02] Ingham, D.B., Pop, I., Transport Phenomena in Porous Media II, Pergamon, 2005.
[03] Nield, D.A., Bejan, A., Convection in Porous Media, Second ed., Springer, NY, 2006.
[04] El. Amin, M. F., Abbas, I., Gorla, R. S. R., Boundary Layer Natural Convection in a Fluid Saturated Porous Medium Using Finite Element Method, Int. J. Fluid Mechanics Research, Vol. 35, no. 5, pp. 445-458, 2008.
[05] Narayana, P. A. L., Murthy, P. V. S. N., Krishna, S. S. R., Postelnicu, A., Free Convective Heat and Mass Transfer in a Doubly Stratified Porous Medium Saturated with a Power-Law Fluid, Int. J. Fluid Mechanics Research, Vol. 36, No. 6, pp. 524-537, 2009.
[06] Kairi, R. R., Murthy, P. V. S. N., Free Convection in a Thermally Stratified Non-Darcy Porous Medium Saturatedwith a Non-Newtonian Fluid, Int. J. Fluid Mechanics Research, Vol. 36, no. 5, pp. 414-423, 2009.
[07] Kiwan, S.,Khodier, M., Natural Convection Heat Transfer in an Open-Ended Inclined Channel-Partially Filled with Porous Media, Heat Transfer Engineering, Vol. 29, no.1, pp. 67-75, 2008.
[08] Khan, N., Toh, K. C.,Pinjala, D., Boiling Heat Transfer Enhancement Using Micro-Machined Porous Channels for Electronics Cooling, Heat Transfer Engineering, Vol. 29, no. 4, 2008, DOI: 10.1080/01457630701825481
[09] Peng, Y., Shu, C., Chew, Y.T., Simplified thermal lattice Boltzmann model for incompressible thermal flows, Physical Review E 68, pp. 026701, 2003.
[10] Seta, T., Takegoshi, E., Okui, K., Lattice Boltzmann simulation of natural convection in porous media, Mathematics and Computers in Simulation, Vol. 72, no.2-6, pp. 195–200, 2006.
[11] Seta, T., Takegoshi, E., Kitano, K., Okui, K.,Thermal Lattice Boltzmann Model for Incompressible Flows through Porous Media, Journal of Thermal Science and Technology, Vol. 1, no. 2, pp. 90-100, 2006.
[12] Delavar, M.A., Farhadi, M., Sedighi, K.,Effect of the heater location on heat transfer and entropy generation in the cavity using the lattice Boltzmann Method, Heat Transfer Research, Vol. 40, no. 6, pp. 521-536, 2009.
[13] Delavar, M.A., Farhadi, M., Sedighi, K.,Effect of discrete heater at the vertical wall of the cavity over the heat transfer and entropy generation using LBM, Thermal Science, in press, 2011,doi:10.2298/TSCI090422035A
[14] D’Orazio, A., Corcione, M., Celata, G.P.,Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition, Int. J. Thermal Sciences, Vol. 43, no. 6, pp. 575–586, 2004.
[15] Mezrhab, A., Jami, M., Abid, C., Bouzidi, M., Lallemand, P.: Lattice-Boltzmann modeling of natural convection in an inclined square enclosure with partitions attached to its cold wall. Int. J. Heat and Fluid Flow 27 (3). 456–465 (2006)
[16] Jami, P., Mezrhab, A., Bouzidi, M., Lallemand, P., Lattice Boltzmann method applied to the laminar natural convection in an enclosure with a heat-generating cylinder conducting body, Int. J. Thermal Sciences, Vol. 46, no. 1, pp. 38–47, 2007.
[17] Chandesris, M., Jamet, D., Boundary conditions at a planar fluid–porous interface for a Poiseuille flow, Int. J. Heat and Mass Transfer, Vol. 49, pp. 2137–2150, 2006.
[18] Alazmi, B., Vafai, K., Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer, Int. J. Heat and Mass Transfer, Vol. 44, pp. 1735-1749, 2001.
[19] Bejan, A., Entropy generation minimization, New York: CRC Press, 1996.
[20] Bejan, A., Advanced engineering thermodynamics, 2nd ed., New York: Wiley, 1997.
[21] SEKULIC, D. P., Entropy Generation in a Heat Exchanger, Heat Transfer Engineering, Vol. 7, no. 1-2,pp. 83-88, 1986.
[22] Sahin, A.Z.,A second-law comparison for optimum shape of duct subjected to constant wall temperature and laminar flow, Heat and Mass Transfer, Vol. 33, no. 5-6, pp. 425–30, 1998.
[23] Mahmud, S., Fraser, R.A.,The second-law analysis in fundamental convective heat-transfer problems, Int. J. Thermal Sciences, Vol. 42, no. 2, pp. 177–86, 2003.
[24] Al¨boud-Saouli, S., Settou, N., Saouli, S., Mezrab, N.,Second-law analysis of laminar fluid flow in a heated channel with hydromagnetic and viscous dissipation effects, Applied Energy, Vol. 84, no. 3, pp. 279–289, 2007.
[25] Heidary, H.,Pirmohammadi, M.,Davoudi, M., Control of Free Convection and Entropy Generation in Inclined Porous Media, Heat Transfer Engineering, 2011, DOI:10.1080/01457632.2012.624875
[26] Mehrizi, A., et al. "Lattice Boltzmann Simulation of Heat Transfer Enhancement in a Cold Plate Using Porous Medium." Journal of Heat Transfer 135.11 (2013): 111006.
[27] Salehi, A., Abbassi. A., and Nazari, M. "Numerical Solutionof Fluid Flowand Conjugate Heat Transferina Channel Filledwith Fibrous Porous Media-a Lattice Boltzmann Method Approach." Journal of Porous Media 17.12 (2014).
[28] Meher .R., Mehta M. N., and Meher S. K. (2010) Adomian Decomposition Approach to Fingero-Imbibition Phenomena in Double Phase Flow through Porous Media. Int. Journal of Applied Maths and Mech. 6 (9): 34-46.
[29] Meher. R (2010). Adomian Decomposition Method for Dispersion Phenomena Arising in Longitudinal Dispersion of Miscible Fluid Flow through Porous Media.
[30] V.N. Mishra, Some Problems on Approximations of Functions in Banach Spaces, Ph. D. Thesis (2007), Indian Institute of Technology, Roorkee- 247667, Uttarakhand, India.
[31] V.N. Mishra, M.L. Mittal, U. Singh, On best approximation in locally convex space, Varāhmihir Journal of Mathematical Sciences India, Vol. 6, No.1, (2006), 43-48.
[32] Mohammad, A.A.,Farhadi, M., Sedighi, K., &Aghili, A. LLattice Boltzmann Method, Fundamentals and Engineering Applications with Computer Codes, Springer-Verlag London Limited, 2011.
[33] Kao, P.H., Chen, Y.H., Yang, R.J., Simulations of the macroscopic and mesoscopic natural convection flows within rectangular cavities, Int. J. Heat and Mass Transfer, Vol. 51, no. 15-16, pp. 3776–3793, 2008.
[34] Ergun, S.,Flow through packed columns, Chemical Engineering Prog., Vol. 48, no. 2, pp. 89–94, 1952.
[35] Kaviany, M.,Principles of Heat Transfer in Porous Media, Springer-Verlag, New York, 1991.
[36] Zehener, P., Waermeleitfahigkeit won Schuettungen be Massigen Temperaturea, Chem.-Ingr.-Tech., Vol. 42, pp. 933–941, 1970.
[37] De Vahl Davis, G.,Natural convection of air in a square cavity: a bench mark numerical solution, Int. J. Numerical Methods in Fluids, Vol. 3, no. 3, pp. 249–264, 1983.
[38] Nithiarasu, P., Seetharamu, K.N., Sundararajan, T.,Natural convective heat transfer in a fluid saturated variable porosity medium, Int. J. Heat Mass Transfer, Vol. 40, no. 16, pp. 3955–3967, 1997.
MA 02210, USA
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - 2017 American Institute of Science except certain content provided by third parties.