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NUMERICAL STUDY OF FLOW AND HEAT TRANSFER IN DIFFERENTIALLY HEATED ENCLOSURES

ABSTRACT
Two-dimensional laminar natural convection is studied numerically for differentially heated air-filled rectangular enclosures with adiabatic side walls and aspect ratios of 1, 2, 4 and 8. The inclination angle of the enclosure was varied from 0° to 180°, and the effect of inclination on flow field and heat transfer was investigated over the range 103 ≤ Ra ≤ 106. Correlations of average Nusselt number based on the present results are presented for horizontal and vertical cases. Large discrepancies were found among published results.
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PAPER SUBMITTED: 2011-06-26
PAPER REVISED: 2012-01-09
PAPER ACCEPTED: 2012-01-09
DOI REFERENCE: 10.2298/TSCI110626007C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE 2, PAGES [451 - 463]
REFERENCES
  1. Dropkin, D., Somerscales, E., Heat Transfer by Natural Convection in Liquids Confined by Two Parallel Plates Which are Inclined at Various Angles with Respect to the Horizontal, Journal of Heat Transfer, 87 (1965), pp. 77-84
  2. Emery, A., Chu, N.C., Heat Transfer across Vertical Layers, Journal of Heat Transfer, 87 (1965), pp. 110-116
  3. Eckert, E.R.G., Carlson, W.O., Natural Convection in an Air Layer Enclosed between Two Vertical Plates with Different Temperatures, International Journal of Heat and Mass Transfer, 2 (1961), 2, pp. 106-120
  4. Arnold, J.N., Catton, I., Edwards, D.K., Experimental Investigation of Natural Convection in Inclined Rectangular Regions of Differing Aspect Ratio, Journal of Heat Transfer, 98 (1976), pp. 67-70
  5. Ozoe, H., Sayama, H., Churchill, S.W., Natural Convection in an Inclined Rectangular Channel at Various Aspect Ratios and Angles-Experimental Measurements, International Journal of Heat and Mass Transfer, 18 (1975), pp. 1425-1431
  6. Inaba, H., Experimental Study of Natural Convection in an Inclined Air Layer, International Journal of Heat and Mass Transfer, 27 (1984), 8, pp. 1127-1139
  7. Hamady, F.J. et al., Study of Local Natural Convection Heat Transfer in a Inclined Enclosure, International Journal of Heat and Mass Transfer, 32 (1989), 9, pp. 1697-1708
  8. Soong, C.Y. et al., Numerical Study on Mode-Transition of Natural Convection in Differentially Heated Inclined Enclosures, International Journal of Heat and Mass Transfer, 39 (1996), 14, pp. 2869-2882
  9. Corcione, M., Effects of the Thermal Boundary Conditions at the Sidewalls upon Natural Convection in Rectangular Enclosures Heated from Below and Cooled from Above, International Journal of Thermal Sciences, 42 (2003), pp. 199-208
  10. Wang, H., Hamed, M.S., Flow Mode-transition of Natural Convection in Inclined Rectangular Enclosures Subjected to Bidirectional Temperature Gradients, International Journal of Thermal Sciences, 45 (2006), pp. 782-792
  11. Bairi, A., Laraqi, N., de Maria, J.M.G., Numerical and Experimental Study of Natural Convection in Tilted Parallelepipedic Cavities for Large Rayleigh Numbers, Experimental Thermal Fluid Science, 31 (2007), pp. 309-324
  12. De Vahl Davis, G., Natural Convection of Air in a Square Cavity, a Bench-mark Numerical Solution, International Journal of Numerical Methods in Fluids, 3 (1983), pp. 249-264
  13. Tripathi, B., Moulic, S.G., Arora, L.R.C., A CFD Analysis of Room Aspect Ratio on the Effect of Buoyancy and Room Air Flow, Thermal Science, 11 (2007), 4, pp. 79-94
  14. Oztop, H. F., Varol , Y., Koca, A., Laminar Natural Convection Heat Transfer in a Shed Roof with or without Eave for Summer Season, Applied Thermal Engineering, 27 (2007), 13, pp.2252-2265
  15. Biwole, P.H., Woloszyn, M., Pompeo C., Heat Transfer in a Double-skin Roof Ventilated by Natural Convection in Summer Time, Energy and Buildings, 40 (2008), 8, pp. 1487-1497
  16. Arici, M.E., Sahin, B., Natural Convection Heat Transfer in a Partially Divided Trapezoidal Enclosure, Thermal Science, 13 (2009), 4, pp. 213-220
  17. Concentration, Heat and Momentum Limited, Bakery House, 40 High Street, Wimbledon Village, London SW19 5AU, England.
  18. Spalding, D.B., Mathematical Modelling of Fluid-mechanics, Heat-transfer and Chemical-reaction Processes, CFDU Report HTS/80/1, Imperial College, London, 1980
  19. Van Leer, B., Towards the Ultimate Conservative Difference Scheme II, Journal of Computational Physics, 14 (1974), pp. 361-370
  20. Gaskell, P.H., Lau, A.K.C., Curvature-compensated Convective Transport: SMART, a New Boundedness-Preserving Transport Algorithm, Int. J. Numerical Methods in Fluids, 8 (1988), 6, pp. 617-641
  21. Barakos, G., Mitsoulis, E., Assimacopoulos, D., Natural Convection Flow in a Square Cavity Revisited: Laminar and Turbulent Models with Wall Functions, International Journal for Numerical Methods in Fluids, 18 (1994), pp. 695-719
  22. Khanafer, K., Vafai, K., Lightstone, M., Buoyancy-driven Heat Transfer Enhancement in a Two-dimensional Enclosure Utilizing Nanofluids, International Journal of Heat and Mass Transfer, 46 (2003), pp. 3639-3653
  23. Fusegi, T. et al., A Numerical Study of Three-dimensional Natural Convection in a Differentially Heated Cubical Enclosure, International Journal of Heat and Mass Transfer, 34 (1991), pp. 1543-1557
  24. Krane, R.J., Jessee, J., Some Detailed Field Measurements for a Natural Convection Flow in a Vertical Square Enclosure, Proceedings 1st ASME-JSME Thermal Engineering Joint Conference, 1983, Vol. 1, pp. 323-329
  25. Kuyper, R.A. et al., Numerical Study of Laminar and Turbulent Natural Convection in an Inclined Square Cavity, International Journal of Heat and Mass Transfer, 36 (1993), 11, pp. 2899-2911
  26. Zhong, Z.Y., Yang, K.T., Lloyd, J.R., Variable Property Natural Convection in Tilted Cavities with Thermal Radiation, Numerical Methods in Heat Transfer, 3 (1985), pp. 195-214
  27. Berkovsky, B.M., Polevikov, V.K., Numerical Study of Problems on High-intensive Free Convection, Heat transfer and Turbulent Buoyant Convection, eds. D.B. Spalding and N. Afgan, Hemisphere, 1977, pp. 443-455
  28. Mills, A.F., Heat and Mass Transfer, CRC Press, Boca Raton, FL, USA, 1995
  29. Incropera, F.P. et al., Fundamentals of Heat and Mass Transfer, John Wiley & Sons, Hoboken, NJ, USA, 2007
  30. Yin, S.H., Wung, T.Y., Chen, K., Natural Convection in an Air Layer Enclosed within Rectangular Cavities, International Journal of Heat and Mass Transfer, 21 (1978), pp. 307-315
  31. Eckert, E.R.G., Carson, W.O., Natural Convection in an Air Layer Enclosed between Two Vertical Plates with Different Temperatures, International Journal of Heat and Mass Transfer, 2 (1961), pp. 106-120
  32. Newell, M.E., Schmidt, F.W., Heat Transfer by Laminar Natural Convection within Rectangular Enclosures, Journal of Heat Transfer, 92 (1970), pp. 159-168
  33. Jabob, M., Free Heat Convection through Enclosed Plane Gas Layers, Journal of Heat Transfer, 68 (1946), pp. 189-193
  34. Holman, J.P., Heat Transfer, McGraw Hill, New York, NY, USA, 2010
  35. Mull, W., Reiher, H., Der Warmeschutz von Luftschichten, Beih. Gesund. Ing., 1 (1930), 28
  36. ElSherbiny, S.M., Raithby, G.D., Hollands, K.G.T., Heat Transfer by Natural Convection across Vertical and Inclined Air Layers, Journal of Heat Transfer, 104 (1982), pp. 96-102