Free Convective Heat Transfer in an Enclosure Filled with Porous Media with and without Insulated Moving Wall

Authors: Laith Jaafer Habeeb

Abstract:

The present work is concerned with the free convective two dimensional flow and heat transfer, in isotropic fluid filled porous rectangular enclosure with differentially heated walls for steady state incompressible flow have been investigated for non- Darcy flow model. Effects of Darcy number (0.0001 £Da£ 10), Rayleigh number (10 £Ra£ 5000), and aspect ratio (0.25 £AR£ 4), for a range of porosity (0.4 £e£ 0.9) with and without moving lower wall have been studied. The cavity was insulated at the lower and upper surfaces. The right and left heated surfaces allows convective transport through the porous medium, generating a thermal stratification and flow circulations. It was found that the Darcy number, Rayleigh number, aspect ratio, and porosity considerably influenced characteristics of flow and heat transfer mechanisms. The results obtained are discussed in terms of the Nusselt number, vectors, contours, and isotherms.

Keywords: Numerical study, moving-wall cavity flow, saturated porous medium, different Darcy and Rayleigh numbers.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1079096

References:

[1] Nithiarasu, P., Seetharamu, K. N. and Sundarajan, T., "Non-Darcy double-diffusive natural convectionin axisymmetric fluid saturated porous cavities," Heat and Mass Transfer,vol. 32, pp. 427-433, Springer-Verlag1997.
[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] Hakan F. Oztop, "Natural convection in partially cooled and inclined porous rectangular enclosures,"International Journal of Thermal Sciences,vol.46, pp. 149-156, Elsevier 2007.
[4] Ayad F. Hameed, "Numerical Study of Free Convection Heat Transfer in a Cavity Filled With a Heat GeneratingSaturated Porous Medium," Engineering and Technology Journal, vol. 26,no. 4, pp.169-187, 2008.
[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, 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. 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.
[10] 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, May 2011.
[11] Antonio F. MIGUEL, "Non-Darcy Porous Media Flow in No-Slip and Slip Regimes," THERMAL SCIENCE,vol. 16, 6, no. 1,pp. 167-176, 2012.
[12] Wenchao Liu, Jun Yao and Yueying Wang, "Exact analytical solutions of moving boundary problems of one-dimensional flow in semi-infinite long porous media with threshold pressure gradient," International Journal of Heat and Mass Transfer,vol. 55, pp. 6017-6022, 2012.
[13] Laith J. Habeeb, "Numerical Simulation of Convective Heat Transfer and Fluid Flow through Porous Media with Different Moving and Heated Walls," The XXXIII International Conference on Aerospace, Mechanical, Automotive and Materials Engineering, Germany 2012, submitted for publication.