BUOYANCY HEAT TRANSFER IN STAGGERED DIVIDING SQUARE ENCLOSURE

Abstract

This study represents the results of numerical simulation of fluid motion and free-convective heat transfer in a square cavity with partitions mounted on the lower (heated) and upper (cooled) walls. The height of partitions and their heat conductivity were varied Kr = 2 ÷ 8000 together with Rayleigh number Ra = 103 ÷ 106, which corresponded to the laminar flow. It is assumed that vertical walls of the cavity are adiabatic, and its horizontal walls are kept at constant, but different temperatures. The numerical solution based on transformation of determining equations by the method of finite differences was achieved. The obtained results show that the surface-average heat transfer coefficient decreases with a rise of partition height due to the suppression of convection. Also the results show that with an increase in heat conductivity coefficient of partitions, the Nusselt number increases significantly. In addition, it was found that when the value of relative heat conductivity coefficient changes by four orders, Nu number for the highest partitions changes by the factor of 1.5 - 2 only and integral heat transfer through the whole interlayer increases with development of the heat exchanging area.

Dates

  • Submission Date2011-01-09
  • Revision Date2011-04-22
  • Acceptance Date2011-05-12

DOI Reference

10.2298/TSCI110109052T

References

  1. Karayiannis T. G., Ciofalo M., Barbaro G., On the natural COnvaction in a Single and Two Zone Rectangular Enclosure, Int J. Heat Mass Transfer, 35, (1992), pp. 1645-1657. J. Heat Mass Transfer, 35, (1992), pp.1645-1657
  2. Yucel N., Ozdem A.H., Natural Convection in Partially Divided Square Enclos, Heat and Mass Transfer, 40, (2003), pp. 167-175
  3. Dagtekin I, Oztop H.F., Natural Convection Heat Transfer by Heated Partitions within enclosure, Int. J. Heat Mass Transfer, 28, (2001),pp. 823-824
  4. Abdullatif B. Nakhi and Ali J. Chamkha., Natural Convection in Inclined Partitioned Enclosures, Heat Mass Transfer, 42, (2006), pp. 311-321
  5. Nansteel M.W., Greif R., Natural Convection in Undivided and Partially Divided Rectangular Enclosures, Journal of Heat Transfer, 103, (1981), pp. 623-629
  6. Nansteel M.W., Greif R., An Investigation of Natural Convection in Enclosures with Two- and Three=Dimensional Partitions, Int. Journal Heat Mass Transfer, 27, (1984), pp. 561-571
  7. E. K. Lakhal, M. Hasnaoui, E. Bilgen, P. Vasseur., Natural Convaction in Inclined Rectangular Enclosures with Perfect Conducting Fins Attached on the Heated Wall, Heat and Mass Transfer, 32, (1997), pp. 365-373
  8. Terekhov V.I., Terekhov V. V., Heat Transfer in a High Vertical Enclosure with Multiple Fins Attached to the Wall, J. Enh. Heat Transfer, 15, (2008), pp. 302-312
  9. Terekhov V.V., Terekhov V.I., Numerical Investigation of Heat Transfer in Tall Enclosure with Ribbed Walls, Comput. Thermal Sciences, 2, (2010), pp. 33-42
  10. Tanda G., Natural Convection Heat Transfer in Vertical Channels With and Without Transverse Square Ribs, Int. J. Heat Mass Transfer, 40, (1997), pp. 2173-2185
  11. Shi X., Khodadadi J., Laminar Natural COnvection Heat Transfer in a Differentially Heated Square Cavity Due to a Thin Fin on the Hot Wall, Trans. ASME, J. Heat Transfer, 115, (2003), pp. 624-634
  12. Yucel N., Turkoglu H., Numerical Analysis of Laminar Natural Convection in Enclosures with Fins Attached to an Active Wall, Heat and Mass Transfer, 33, (1998), pp. 307-314
  13. Zimmerman E., Acharyd S., Free Convection Heat Transfer in a Partially Divided Vertical Enclosure with Conducting End Walls, Int. J. Heat and Mass Transfer, 30, (1987), pp. 319-331
  14. Lakhal E.K., Hasnaoui M., Bilgen E., Vasseur P., Natural Convection in Inclined Rectangular Enclosures with Perfectly Conducting Fins Attached on the Heated Wall, Heat and Mass Transfer, 32, (1997), pp. 365-373
  15. Scozia R., Frederick R., Natural Convection in Slender Cavities with Multiple Fins Affronted on Active Wall, Numerical Heat Transfer, 20, (1991), pp.127-158.
  16. Mushatet K.S., Turbulent Natural Convection Inside a Square Enclosure with Baffles, th Procedings 14 Int. Heat Transfer Conference, August 8-13, 2010, Washington, DC, USA, IHTC-23397, 9 p.
  17. Ben-Nakhi A. and Chamkha A.J., Natural Convection in Inclined Partitioned Enclosures, Heat Mass Transfer, 42, (2006), pp. 311-321 AlAmiri A, Khanafer K., Pop I., Buoyancy-Induced Flow and Heat Transfer in a Partially Divided Square Enclosure, Int. J. Heat Mass Transfer, 52, (2009), pp. 3818 - 3828
  18. Wu W., Ching C.Y., Laminar Natural Convection in a Square Cavity with a Partition on the Heated Vertical Wall, Experimental Heat Transfer, 23, (2010), pp. 208-216
  19. Hung Y.H., Shiau W.M., Local Steady-State Natural Convection Heat Transfer in Vertical Parallel Plates with a Two-Dimensional Rectangular Rib, Int. J. Heat Mass Transfer, 31, (1983), pp. 1279-1288
  20. Viswatmula P., Amin M.R., Effects of Multiple Obstructions on Natural Convection Heat Transfer in Vertical Channels, Int. J. Heat Mass Transfer, 38, (1995), pp. 2039 -2046
  21. Terekhov V.I., Chichindaev A.V., Ekaid A.L., Fluid Flow and Heat Transfer in a Partially Divided Square Cavity with Conducting Ribs, Procedings XXIX-th Siberian Thermophysics Seminar (STS-29) - 15-17 November 2010. - Novosibirsk: IT SB RAS - 16 с.
  22. Nada S.A., Natural Convection Heat Transfer in Vertical Closed Narrow Enclosure with Heated Rectangular Finned Base Plate, Int. J. Heat Mass Transfer, 50, (2007), pp. 667-679
  23. Sezai I., Mohamad A.A., Suppressing Free Convection from a Flat Plate with Poor Conductor Ribs, Int. J. Heat Mass Transfer, 42, (1999), pp. 2041-2051
  24. Nogotov E.F., Applications of Numerical Heat Transfer, Hemisphere Publ. Corp., Washington, (1978) Davis D.V.G., Natural Convection of Air in a Square Cavity: a Bench Numerical Solution, Int. J. Numer. Methods in Fluids, 3, (1983), pp. 249-264
Volume 15, Issue 2, Pages409 -422