Numerical Simulation of Convective Heat Transfer and Fluid Flow through Porous Media with Different Moving and Heated Walls

The present study is concerned with the free convective two dimensional flow and heat transfer, within the framework of Boussinesq approximation, in anisotropic fluid filled porous rectangular enclosure subjected to end-to-end temperature difference have been investigated using Lattice Boltzmann method fornon-Darcy flow model. Effects of the moving lid direction (top, bottom, left, and right wall moving in the negative and positive x&ydirections), number of moving walls (one or two opposite walls), the sliding wall velocity, and four different constant temperatures opposite walls cases (two surfaces are being insulated and the twoother surfaces areimposed to be at constant hot and cold temperature)have been conducted. The results obtained are discussed in terms of the Nusselt number, vectors, contours, and isotherms.




References:
[1] EkkehardHolzbecher, "Characterisation of Heat and Mass Transfer in
Porous Media," in 2000 16th IMACS World Congress.
[2] Hakan F. Oztop, "Combined convection heat transfer in a porous liddriven
enclosure due to heater with finite length," International
Communications in Heat and Mass Transfer, vol. 33,pp. 772 - 779,
March 2006.
[3] WatitPakdee andPhadungsakRattanadecho, "Natural Convection in
Porous Enclosure caused by Partial Heating or Cooling," in the 20th
Conference of Mechanical Engineering Network of Thailand, 18-20
October 2006, NakhonRatchasima, Thailand.
[4] M.A.R. Sharif, "Laminar mixed convection in shallow inclined driven
cavities with hot moving lid on top and cooled from bottom," Applied
Thermal Engineering, vol.27,pp.1036-1042, March 2007.
[5] C.Y. Wang, "The recirculating flow due to a moving lid on a cavity
containing a Darcy-Brinkman medium," AApplied Mathematical
Modelling, vol.33,pp.2054-2061, March 2009.
[6] M.A. MohdIrwan, A. M. Fudhail, C.S. Nor Azwadi and G. Masoud,
"Numerical Investigation of Incompressible Fluid Flow through Porous
Media in a Lid-Driven Square Cavity," American Journal of Applied
Sciences, vol. 7,no. 10, pp. 1341-1344, 2010.
[7] Mohamed A. Teamahand Wael M. El-Maghlany, "Numerical simulation
of double-diffusive mixed convective fl ow in rectangular enclosure with
insulated moving lid," International Journal of Thermal Sciences,
vol.49, pp.1625-1638, 2010.
[8] MohdIrwan Bin MohdAzmi, "Numerical Study of Convective Heat
Transfer and Fluid Flow through Porous Media," Masterthesis,
University Technology Malaysia, 2010.
[9] M. R. Safaiyand H. R. Goshayeshi, "Numerical Simulation of Laminar
and Turbulent Mixed Convection in Rectangular Enclosure with Hot
upper Moving Wall," Int.J.Advanced Design and Manufacturing
Technology,vol.3,no. 2, March-2010.
[10] M. A. Waheed, G. A. Odewoleand S. O. Alagbe, "Mixed Convective
Heat Transfer In Rectangular Enclosures Filled With Porous Media,"
ARPN Journal of Engineering and Applied Sciences,vol.6,no. 8,pp.47-
60,August 2011.
[11] Prakash Chandra and V. V. Satyamurty, "Non-Darcian and Anisotropic
Effects on Free Convection in a Porous Enclosure," Transp Porous
Med,vol.90,pp.301-320,May2011.
[12] IlyasKandemir and AlaattinMetin Kaya, "Molecular dynamics
simulation of compressible hot/cold moving lid-driven microcavity
flow," Microfluid Nanofluid,vol.12, pp.509-520,2012.
[13] Khaled Al-Salem, Hakan F. oztop, Ioan Pop and YasinVarol, "Effects of
moving lid direction on MHD mixed convection in a linearly heated
cavity," International Journal of Heat and Mass Transfer,vol. 55, pp.
1103-1112, 2012.
[14] Davis, D.V.,"Natural Convection of air in square cavity: a bench mark
numerical solution,"International Journal of Numerical Methods in
Fluids,vol.3, pp.249-264, 1983.
[15] Nithiarasu, P., Seetharamu, K.N. and Sundarajan,T.,"Natural convective
heat transfer in a fluid saturated variable porosity medium,"Int. J. Heat
Transfer. Vol. 40, no. 16, pp. 3955-3967, 1997.
[16] Seta, T., Takegoshi, E. and Okui, K.,"Lattice Boltzmann simulation of
natural convection in porous media,"Mathematics and Computers in
Simulation, vol.72, pp.195-200, 2006.