Cover
Vol. 11 No. 1 (2011)

Published: May 31, 2011

Pages: 44-56

Original Article

Numerical Study of Laminar Free Convection Heat Transfer inside Porous Media -Filled Triangular Enclosure

Falah Assi Abood 1
1 Mechanical Engineering Department - College of Engineering - Basrah University
History
  • Received: February 28, 2011
  • Available Online: May 31, 2011
DOI

https://doi.org/10.33971/bjes.11.1.4

Abstract

The natural convection heat transfer in a porous media filled and isothermally heated from the bottom wall of triangular enclosure is analyzed using finite element software package (FLEXPDE). Darcy's law was used to write equations of porous media . The curved bottom wall shape, with Radii R= 0.8 , 1 and 1.5, was applied to a triangular enclosure. The boundary condition of the vertical wall is isothermal and of the inclined wall is adiabatic. The study was performed for different Rayleigh numbers (100 ≤ Ra ≤ 1000 ) and aspect ratios (0.4 ≤ AR ≤ 1 ) . Numerical results are presented in terms of streamlines, isotherms and Nusselt numbers. It was observed that heat transfer enhancement was formed with increasing Rayleigh number and aspect ratio . A comparison of the flow field and isotherm field is made with that obtained by [11], which revealed a good agreement .

References

  1. A. Bejan (1979) " On the boundary layer regime in a vertical enclosure filled with a porous medium " Lett . Heat Mass Transfer (6) 93-102.
  2. R.J.Gross , M.R.Bear, C.E. Hickex (1986) "The application of flux corrected transport (FCT) to high Rayliegh numbers natural convection in a porous medium. Proc, 8th Int. Heat Transfer Conf., San Francisco . CA.
  3. D.M. Manolc , J.L. Lage (1992) " Numerical benchmark results for natural convection in a porous medium cavity , In: Heat and Mass Transfer . ASME Conf .HTD -216 , PP 55-60.
  4. B.Goyeau , J.P.Songbe , D.Gobin (1996)" Numerical study of double- diffusive natural convection in a porous cavity using the Darcy- Brinkman formation , Int.J. Heat Mass Transfer (39) 1363-1378 .
  5. A.C .Baytas , I. Pop (1999) "Free Convection in Oblique enclosures filled with a porous medium " Int. J. Heat Mass Transf (42) 1047-1057 .
  6. A.C.Baytas , I.Pop (2002) "Free Convection in a square porous cavity using a thermal non-equilibrium model " Int. J. Therm. (41) 861-870 .
  7. T. Basak , S.Roy , T.Paul, I. Pop (2006) " Natural convection in a square cavity filled with a porous medium effects of various thermal Boundary conditions " Int. J. Heat Mass Transfer (49) 1430-1441 .
  8. F.Moukelled , M.Darwish (2003) " National convection in partitioned trapezoidal cavity heated from the side " Numer.Heat Transfer l cylinder inside a concentric air-filled triangular enclosure" International Journal of Heat and Mass Transfer (43) 543-563 .
  9. M.Boussaid , A.Djerrada , M.Bouhadef ( 2003) " Thermosolutal transfer with in trapezoidal cavites " Numer. Heat Transfer. Part A (43) 431- 448 .
  10. Tunmay Baskat , S.Roy, S.Krishna Babu , I. Pop (2008) " Finite element simulations of natural convection flow in an isosceles triangular enclosure filled with a porous medium : Effects of various thermal boundary conditions " Int. J. Heat. Mass Transf (51) 2733- 2741.
  11. Yasin Varol, Hakan F. Oztop, Moghtada Mobedi , Ioan Pop . ( 2008 ) " Visualation of natural convection heat transfer using heat line method in porous non-isothermally heated triangular cavity " Int. J. Heat and Mass Transf. (51) 5040-5051.
  12. Backstrom Gunnar 2005 "Fields of Physics by Finite Element Analysis Using FlexPDE" by GB Publishing and Gunnar Backstrom Malmo, Sweden