UNSTEADY MIXED CONVECTION IN A POROUS MEDIA FILLED LID-DRIVEN CAVITY HEATED BY A SEMI-CIRCULAR HEATERS

Abstract

A computational study has been performed on natural convection heat transfer and fluid flow in a porous media filled enclosure with semi-circular heaters by using finite element method. The ceiling of the cavity moves with a constant velocity and it is insulated. Temperature of vertical walls is lower than that of heaters. Results are presented via streamlines, isotherms, average Nusselt numbers and cross sectional velocity for different governing parameters such as Richardson number, Darcy number and dimensionless time. It is observed that both circulation of the flow and heat transfer is strongly affected with time increment and Darcy number inside the cavity.

Dates

  • Submission Date2013-07-25
  • Revision Date2014-07-16
  • Acceptance Date2014-08-19
  • Online Date2014-09-06

DOI Reference

10.2298/TSCI130725098R

References

  1. Ingham, D.B., Pop, I. (Eds.), Transport phenomena in porous media, Pergamok, Oxford, 1998.
  2. Bejan, A., Convection heat transfer in porous media, in: S. Kakac, R.K. Shah, W. Aung (Eds.), Handbook of Single-Phase Convective Heat Transfer, Wiley, New York, 1987.
  3. Vafai, K., Handbook of porous media, Marcel Dekker, New York, 2000.
  4. Ghia, U. Ghia, K.N. Shin, C.T., High-Re solutions for incompressible flow using the Navier-Stokes equations and multigrid method, J. Comput. Phys. 48 (1982) pp. 387-411.
  5. Oztop, H.F., Dagtekin, I., Mixed convection in two-sided lid-driven differentially heated square cavity, Int. J. Heat Mass Transfer, 47 (2004) pp.1761-1769.
  6. Jue, T.C., Analysis of flows driven by a torsionally-oscillatory lid in a fluid-saturated porous enclosure with thermal stable stratification, Int. J. Therm. Sci., 41 (2002) pp. 795-804.
  7. Khanafer, K.M., Chamkha, A.J., Mixed convection flow in a lid-driven enclosure filled with a fluid-saturated porous medium, Int. J. Heat Mass Transfer, 42 (1999) pp. 2465-2481
  8. Oztop, H.F. Combined convection heat transfer in a porous lid-driven enclosure due to heater with finite length, Int. Comm. Heat Mass Transfer, 33 (2006) pp.772-779.
  9. Mahmud, S., Pop, I., Mixed convection in a square vented enclosure filled with a porous medium, Int. J. Heat Mass Transfer 49 (2006) pp. 2190-2206.
  10. Khanafer, K., Vafai, K., Double-diffusive mixed convection in a lid-driven enclosure filled with a fluid saturated porous medium, Num. Heat Transfer, Part A, 42 (2002) pp. 465-486.
  11. Shi, X, Khodadadi, J.M., Fluid Flow and Heat Transfer in a lid-driven cavity due to an osciallating thin fin: transient behavior, Transactions of the ASME, J. Heat Transfer, 126 (2004) pp. 924-930.
  12. Shi, X, Khodadadi, J.M., Periodic state of fluid flow and heat transfer in a lid-driven cavity due to an oscillating thin fin, Int. J. Heat Mass Transfer, 48 (2005) pp. 5323-5337.
  13. Rahman, M.M., Oztop, H.F., Rahim, N.A., Saidur, R., Al-Salem, K., MHD Mixed Convection with Joule Heating Effect in a Lid-Driven Cavity with a Heated Semi-Circular Source Using the Finite Element Technique, Num. Heat Transfer, Part A, 60 (2011) pp. 543-560.
  14. Mahmud, S., Fraser, R.A., Magnetohydrodynamic free convection and entropy generation in a square porous cavity, Int. J. Heat Mass Transfer, 47 (2004) pp. 3245-3256.
  15. Basak, T., Anandalakshmi, R., Roy, S., Pop, I., Role of entropy generation on thermal management due to thermal convection in porous trapezoidal enclosures with isothermal and non-isothermal heating of wall, Int. J. Heat Mass Transfer, 67, (2013), pp. 810-828
  16. Pandit, S.K., Chattopadhyay, A. Higher order compact computations of transient natural convection in a deep cavity with porous medium, Int. J. Heat Mass Transfer, 75 (2014) pp. 624-636
  17. Ahmed, S.E., Oztop, H.F. Al-Salem, K.Natural convection coupled with radiation heat transfer in an inclined porous cavity with corner heater, Computers & Fluids, 102 (2014) pp. 74-84
  18. Ramakrishna, D., Basak, T., Roy, S., Pop, I.,Analysis of heatlines during natural convection within porous square enclosures: Effects of thermal aspect ratio and thermal boundary conditions, Int. J. Heat Mass Transfer, 59 (2013) pp. 206-218
  19. Sun, Q., Pop, I., Free convection in a triangle cavity filled with a porous medium saturated with nanofluids with flush mounted heater on the wall, Int. J. Thermal Sci., 50 (2011) pp. 2141-2153