Natural Convection in a Porous Square Enclosure with Partially Cooled from Vertical Wall
Article Sidebar
Main Article Content
Abstract
Natural convection flow in a square enclosure filled with a fluid-saturated porous medium is investigated in this paper. The left side wall of the cavity is heated while the right side wall is partially cooled. The cooled portion is located adjacent to the top wall. The remaining walls are adiabatic. The governing equations are solved by using FlexPDE 6.14 Student Version which is based on finite element method. The different parameters in the present study are Darcy number (10-5 ≤ Da ≤ 10-3), Grashof number (103 ≤ Gr ≤ 105), Prandtl number (0.70 ≤ Pr ≤ 10) and Reynolds number (10 ≤ Pr ≤ 100). The results are illustrated in the terms of isotherms, streamlines and heatlines. It is found that the strength of fluid motion and the magnitudes of streamlines increase and temperature distribution decrease as Darcy number and Grashof number increase. In addition, a single circulation cell in clockwise direction is formed in the enclosure. The magnitudes of heatlines become larger at higher Darcy numbers, while the increasing of Grashof number has no effect for the magnitudes of heatlines.
Keywords: Finite element method; Natural convection; Partially cooled; Porous medium.
E-mail: [email protected]
Article Details
Copyright Transfer Statement
The copyright of this article is transferred to Current Applied Science and Technology journal with effect if and when the article is accepted for publication. The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, electronic form (offline, online) or any other reproductions of similar nature.
The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors.
Here is the link for download: Copyright transfer form.pdf
References
[2] Haghshenas, A., Rafati Nasr, M. and Rahimian, M.H. 2010. Numerical simulation of natural convection in an open-ended square cavity filled with porous medium by lattice Boltzmann method, International Communications in Heat and Mass Transfer, 37, 1513-1519.
[3] Basak, T, Krishna Pradeep, P.V., Roy, S. and Pop, I. 2011. Finite element based heatline approach to study mixed convection in a porous square cavity with various wall thermal boundary conditions, International Journal of Heat and Mass Transfer, 54, 706-1727.
[4] Sathiyamoorth, M., Basak, T., Roy, S. and Pop, I. 2007. Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side wall(s). International Journal of Heat and Mass Transfer, 50, 1892-1901.
[5] Mahapatra, T.R., Pal, D. and Mondal, S. 2011. Natural convection in a lid-driven square cavity filled with darcy-forchheimer porous medium in the presence of thermal radiation. International Journal of Nonlinear Science, 11(3), 366-379.
[6] Sompong, P. and Witayangkurn, S. 2012. Simulation of natural convection in a complicated enclosure with two wavy vertical walls. Applied Mathematical Science, 6, 2833-2842.
[7] Oztop, H.F. 2007. Natural convection in partially cooled and inclined porous rectangular enclosures. International Journal of Thermal Sciences, 46, 149-156.
[8] El-refaee, M.M., Elsayed, M.M., Al-najem, N.M. and Noor, A.A. 1998. Natural convection in partially cooled tilted cavities. International Journal for Numerical Methods in Fluids, 28, 477-499.
[9] Mobedi, M., Sunden, B and Özkol, Ü. 2010.Visualization of diffusion and convection heat transport in a square cavity with natural convection. International Journal of Heat and Mass Transfer, 53, 99-109.
[10] Varol, Y., Oztop, H. and Pop, I. 2009. Natural convection in right-angle porous trapezoidal enclosure partially cooled from inclined wall. International Journal of Heat and Mass Transfer, 36, 6-15.
[11] Reddy, J.N. 1993. An introduction to the finite element method, McGraw-Hill, New York.