International Scientific Journal

External Links


Numerical study of natural convection heat transfer and fluid flow in cylindrical cavity with hot walls and cold sink is conducted. Calculations are performed in terms of the cavity aspect ratio, the heat exchanger length and the thermo physical properties expressed via the Prandtl number and the Rayleigh number. Results are presented in the form of isotherms, streamlines, average Nusselt number and average bulk temperature for a range of Rayleigh number up to 106. It is observed that Rayleigh number and heat exchanger length influences fluid flow and heat transfer, whereas the cavity aspect ratio has no significant effects.
PAPER REVISED: 2012-09-20
PAPER ACCEPTED: 2012-09-25
CITATION EXPORT: view in browser or download as text file
  1. Ostrach, S., Natural Convection in Enclosures, J. Heat Transfer, 110 (1988) pp.1175-1190
  2. Bejan, A., Convection Heat Transfer, Wiley, New York, 1982
  3. Ganzarolli, M.M. and Milanez, L.F., Natural convection in rectangular enclosures heated from below and symmetrically cooled from the sides, Int. J. Heat Mass Transfer, 38 (1995) pp.1063-1073
  4. Lemembre, A. and Petit, J.P., Laminar natural convection in a laterally heated and upper cooled vertical cylindrical enclosure, Int. J. Heat Mass Transfer, 41 (1998) pp.2437-2454
  5. Aydin, O., Ünal, A. and Ayhan, T., Natural convection in rectangular enclosures heated from one side and cooled from the ceiling, Int. J. Heat Mass Transfer, 42 (1999) pp.2345-2355
  6. Corcione, M., Effects of the thermal boundary conditions at the sidewalls upon natural convection in rectangular enclosures heated from below and cooled from above, Int. J. Thermal Sciences, 42 (2003) pp.199-208
  7. Basak, T., Roy, S. and Balakrishnan, A., Effects of thermal boundary conditions on natural convection flows within a square cavity, Int. J. Heat Mass Transfer, 49 (2006) pp.4525-4535
  8. Sezai, I. and Mohamad, A.A., Natural convection from a discrete heat source on the bottom of a horizontal enclosure, Int. J. Heat Mass Transfer, 43 (2000) pp.2257-2266
  9. Aydin, O. and Yang, J., Natural convection in enclosures with localized heating from below and symmetrical cooling from sides, Int. J. Numer. Methods Heat Fluid Flow, 10 (2000) pp.518-529
  10. Sharif, M.A.R. and Mohammad, T.R., Naural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from sidewalls, Int. J. Thermal Sciences, 44 (2005) pp.865- 878
  11. Deng, Q.H., Tang, G.F. and Li, Y., A combined temperature scale for analyzing natural convection in rectangular enclosures with discrete wall heat sources, Int. J. Heat Mass Transfer, 45 (2002) pp.3437-3446
  12. Sun, Y.S. and Emery, A.F., Effects of wall conduction, internal heat sources and an internal baffle on natural convection heat transfer in a rectangular enclosure, Int. J. Heat Mass Transfer, 40 (1997) pp.915-929
  13. Ha, M.Y. and Jung, M., A numerical study on three-dimensional conjugate heat transfer of natural convection and conduction in a differentially heated cubic enclosure with a heat-generating cubic conducting body, Int. J. Heat Mass Transfer, 43 (2000) pp.4229-4248
  14. Liaqat, A. and Baytas, A.C., Conjugate natural convection in a square enclosure containing volumetric sources, Int. J. Heat Mass Transfer, 44 (2001) pp.3273-3280
  15. Schmid, F., Crystal Growing. US Patent No 3898051, 1975
  16. Pimputkar, S.M. and Ostrach, S., Convective effects in crystals grown from melt, J. Crystal Growth, 55 (1981) pp.614-646
  17. Hurle, D.T.J., Convective transport in melt growth systems, J. Crystal Growth, 65 (1983) pp.124-132
  18. Brown, R.A., Theory of transport processes in single crystal growth from the melt, AIChe Journal, 34 (1988) pp.881-911
  19. Derby, J.J.,An overview of convection during the growth of single crystals from the melt. anonymous Proceedings of the Eighth International Summer School on Crystal Growth, ISSCG-8, 1992 .
  20. Muller, G. and Ostrogorsky, A.G., Convection in melt growth, in Handbook of Crystal Growth, D.T.J. Hurle (Eds.), Elsevier Science Pub Co, vol. 2, , North Holland. 1994
  21. Wang, J.H., Kim, D.H. and Huh, J.S., Modelling of crystal growth process in heat exchanger method, J. Crystal Growth, 174 (1997) pp.13-18
  22. Lu, C.W. and Chen, J.C., Numerical computation of sapphire crystal growth using heat exchanger method, J. Crystal Growth, 225 (2001) pp.274-281
  23. Chen, J.-C. and Lu, C.-W. , Influence of the crucible geometry on the shape of the melt-crystal interface during growth of sapphire crystal using a heat exchanger method, J. Crystal Growth, 266 (2004) pp.239-245
  24. Kim, J.M. and Kim, Y.K., Growth and characterization of 240 kg multicrystalline silicon ingot grown by directional solidification, Solar Energy Materials & Solar Cells, 81 (2004) pp.217-224
  25. Khattak, C.P. and Schmid, F., Growth of the world's largest sapphire crystals, J. Crystal Growth, 225 (2001) pp.572-579
  26. Evstratov, I.Y., Rukolaine, S., Yuferev, V.S., Vasiliev, M.G., Fogelson, A.B., Mamedov, V.M., Shlegel, V.N., Vasiliev, Y.V. and Makarov, Y.N., Global analysis of heat transfer in growing BGO crystals (Bi4Ge3O12) by low-gradient Czochralski method, J. Crystal Growth, 235 (2002) pp.371- 376
  27. De Vahl Davis, G., Natural convection of air in a square cavity: a bencmark solution, Int. J. Numer. Meth. Fluids, 3 (1983) pp.249-264
  28. Markatos, N. and Pericleous, K.A., Laminar and turbulent natural convection in an enclosed cavity, Int. J. Heat Mass Transfer, 27 (1984) pp.755-772

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence