Using Lattice Boltzmann Method to Investigate the Effects of Porous Media on Heat Transfer from Solid Block inside a Channel

Document Type: Original Research Paper


1 Islamic Azad University Science and Research Ayatollah Amoli Branch, Amol, Iran

2 Babol Noshirvani University of Technology, Babol, Iran


A numerical investigation of forced convection in a channel with hot solid block inside a square porous block mounted on a bottom wall was carried out. The lattice Boltzmann method was applied for numerical simulations. The fluid flow in the porous media was simulated by Brinkman-Forchheimer model. The effects of parameters such as porosity and thermal conductivity ratio over flow pattern and thermal field were investigated. In this paper the effects of mentioned parameters were discussed in detail. The result show with increasing the thermal conductivity ratio and porosity the fluid temperature will reduce.  


[1] P.C. Huang, K. Vafai, Analysis of forced convectionenhancement in a channel using porous blocks, AIAA J.Thermophys. Heat Transfer 18 (1994) 563–573.

[2] M. Kaviany, Laminar flow through a porous channelbounded by isothermal parallel plate, Int. J. HeatMassTransfer 28 (1985) 851–858.

[3] T. Rizk, C. Kleinstreuer, Forced convective coolingof a linear array of blocks in open and porous matrixchannels, Heat. Transfer Eng 12 (1991) 4–47.

[4] J.M. Zhang, W.H. Sutton , F.C. Lai, Enhancement ofheat transfer using porous convection-to-radiationconverter for laminar flow in a circular duct, Int. J. HeatMass Transfer 40 (1996) 39–48.

[5] A. Hadim, Forced convection in a porous channelwith localized heat sources, ASME J. Heat Transfer 8(1994) 465–472.

[6] M.K. Alkam, M.A. Al-Nimr, M.O. Hamdan,Enhancing heat transfer in parallel plate channels byusing porous inserts, Int. J. Heat Mass Transfer 44 (2001)931–938.

[7] S. Succi, The Lattice Boltzmann Equation for FluidDynamics and Beyond, ClarendonPress, Oxford, 2001.

[8] A. A. Mohammad, Lattice Boltzmann Method,Fundamentals and Engineering Applications withComputer Codes, Springer, London, England, 2011.

[9] P. H. Kao, Y. H. Chen, R. J. Yang: Simulations of themacroscopic and mesoscopic natural convection flowswithin rectangular cavities, International Journal of Heatand Mass Transfer, 51(2008) 3776–3793.

[10] Z. Guo, T.S. Zhao, Lattice Boltzmann model forincompressible flows through porous media, Phys. Rev.E 66 (2002) 036304.

[11] T. Seta, E. Takegoshi, K. Okui, Lattice Boltzmannsimulation of natural convection in porous media, Math.Comput. Simul. 72 (2006) 195–200.

[12] S. Ergun, Chem. Eng. Prog, 48(1952) 89.

[13] P.X. Jiang, X.C Lu, Int. J. Heat and Mass Transfer,49 (2006) 1685

[14] S. Mahmud and R. A. Fraser, Flow, thermal, andentropy generation characteristics inside a porouschannel with viscous dissipation, International Journal ofThermal Sciences, 44 (2005) 21-32.

[15] W. M. Kays, M. E. Crawford, Solutions Manual,Convective Heat and Mass Transfer, third ed., McGraw-Hill, New York, 1993.