Criteria for Predicting Transitions in Free Convection Heat Transfer From Isothermal Convex Bodies in Fluids With Any Prandtl Number: A New Analytical Model

References

• Incropera, F. P., DeWitt, D. P., and Bergman, T. L., Fundamentals of Heat and Mass Transfer, 6th ed, Wiley, New York, NY, 2007.
   Google Scholar
• Ozisik, M. N., Basic Heat Transfer, McGraw-Hill, New York, NY, 1977.
   Google Scholar
• Bejan, A., and Lage, J. L., The Prandtl Number Effect on the Transition in Natural Convection Along a Vertical Surface, ASME Journal of Heat Transfer, vol. 112, no. 3, pp. 787–790, 1990. doi:10.1115/1.2910457.
   Web of Science ®Google Scholar
• Vitharana, V. L., and Lykoudis, P. S., Criteria for Predicting the Transition to Turbulence in Natural Convection Along a Vertical Surface, ASME Journal of Heat Transfer, vol. 116, no. 3, pp. 633–638, 1994. doi:10.1115/1.2910916.
   Web of Science ®Google Scholar
• Sheriff, N., and Davies, N. W., Sodium Natural Convection From a Vertical Plate, Proc. 6th International Heat Transfer Conf., Hemisphere, Washington, DC, pp. 131–136, 1978.
   Google Scholar
• Humphreys, W. W., and Welty, J. R., Natural Convection With Mercury in a Uniformly Heated Vertical Channel During Unstable Laminar and Transitional Flow, AIChE Journal, vol. 21, no. 2, pp. 268–274, 1975. doi:10.1002/aic.690210207.
   Web of Science ®Google Scholar
• Uotani, M., Natural Convection Heat Transfer in a Thermally Stratified Liquid Metal, Journal of Nuclear Science and Technology, vol. 24, no. 6, pp. 442–451, 1987. doi:10.1080/18811248.1987.9735829.
   Web of Science ®Google Scholar
• Lykoudis, P. S., private communication with A. Bejan, 1989.
   Google Scholar
• Godaux, F., and Gebhart, B., An Experimental Study of the Transition of Natural Convection Flow Adjacent to a Vertical Surface, International Journal of Heat and Mass Transfer, vol. 17, no. 1, pp. 93–107, 1974. doi:10.1016/0017-9310(74)90042-8
   Web of Science ®Google Scholar
• Jaluria, Y., and Gebhart, B., On Transition Mechanisms in Vertical Natural Convection Flow, Journal of Fluid Mechanics, vol. 66, no. 2, pp. 309–337, 1974. doi:http://dx.doi.org/10.1017/S002211207400022X
   Web of Science ®Google Scholar
• Qureshi, Z. H., and Gebhart, B., Transition and Transport in a Buoyancy Driven Flow in Water Adjacent to a Vertical Uniform Flux Surface, International Journal of Heat and Mass Transfer, vol. 21, no. 12, pp. 1467–1479, 1978. doi:10.1016/0017-9310(78)90003-0
   Web of Science ®Google Scholar
• Mahajan, R. L., and Gebhart, B., An Experimental Determination of Transition Limits in a Vertical Natural Convection Flow Adjacent to a Surface, Journal of Fluid Mechanics, vol. 91, no. 1, pp. 131–154, 1979. doi:http://dx.doi.org/10.1017/S0022112079000070.
   Web of Science ®Google Scholar
• Cheesewright, R., Turbulent Natural Convection From a Vertical Plane Surface, ASME Journal of Heat Transfer, vol. 90, no. 1, pp. 1–6, 1968. doi:10.1115/1.3597453.
   Web of Science ®Google Scholar
• Fujii, T., Experimental Studies of Free Convection Heat Transfer, Bulletin of JSME, vol. 2, no. 8, pp. 555–558, 1959.
   Google Scholar
• Touloukian, Y. S., Hawkins, G. A., and Jakob, M., Heat Transfer by Free Convection From Heated Vertical Surfaces to Liquids, Transaction of the ASME, vol. 70, pp. 13–23, 1948.
   Google Scholar
• Farmer, W. P., and McKie, W. T., Natural Convection From a Vertical Isothermal Surface in Oil, Paper-64-WA/HT-12, ASME, New York, NY, 1964.
   Google Scholar
• Toshiyuki, M., Koji, S., and Kenzo, K., Fluid Flow and Heat Transfer of Natural Convection Around Large Horizontal Cylinders: Experiments With Air, Heat Transfer—Asian Research, vol. 32, no. 4, pp. 293–305, 2003. doi:10.1002/htj.10080.
   Google Scholar
• Churchill, S. W., and Usagi, R., A General Expression for the Correlation of Rates of Transfer and Other Phenomena, AIChE Journal, vol. 18, no. 6, pp. 1121–1128, 1972. doi:10.1002/aic.690180606.
   Web of Science ®Google Scholar
• Yovanovich, M. M., On the Effect of Shape, Aspect Ratio and Orientation Upon Natural Convection From Isothermal Bodies of Complex Shape, ASME Winter Annual Meeting, HTD, Boston, MA, pp. 121–129, 1987.
   Google Scholar
• Jafarpur, K., Analytical and Experimental Study of Laminar Free Convective Heat Transfer From Isothermal Convex Bodies of Arbitrary Shape, Ph.D. Thesis, University of Waterloo, Waterloo, ON, Canada, 1992.
   Google Scholar
• Bigdely, M. R., Calculation of Conduction Limit Using Panel Method, M.Sc. Thesis, Shiraz University, Shiraz, Iran, 1998.
   Google Scholar
• Arabi, P., Convection Heat Transfer From Isothermal Convex Bodies of Arbitrary Shape for Different Flow Regimes (Laminar and Turbulent), M.Sc. Thesis, Shiraz University, Shiraz, Iran, 2013.
   Google Scholar
• Arabi, P., and Jafarpur, K., Effect of Different Flow Regimes on Natural Convection Heat Transfer From a Vertical Plate, Proc. 20th Annual International Mechanical Engineering Conf. (ISME2013), Tehran, Iran, 2013.
   Google Scholar
• Churchill, S. W., and Churchill, R. U., A Comprehensive Correlating Equation for Heat and Component Transfer by Free Convection, AIChE Journal, vol. 21, no. 3, pp. 604–606, 1975. doi:10.1002/aic.690210330.
   Web of Science ®Google Scholar
• Hassani, A. V., and Hollands, K. G. T., On Natural Convection Heat Transfer From Three-Dimensional Bodies of Arbitrary Shape, ASME Journal of Heat Transfer, vol. 111, no. 2, pp. 363–371, 1989. doi:10.1115/1.3250686.
   Web of Science ®Google Scholar
• Lee, S., Yovanovich, M. M., and Jafarpur, K., Effects of Geometry and Orientation on Laminar Natural Convection From Isothermal Bodies, Journal of Thermophysics and Heat Transfer, vol. 5, no. 2, pp. 208–216, 1991. doi:10.2514/3.249.
   Web of Science ®Google Scholar
• Raithby, G. D., and Hollands, K. G. T., Natural Convection, in Handbook of Heat Transfer, eds. W. M. Rohsenow, J. P. Hartnett, and Y. I. Cho, McGraw-Hill, New York, NY, chap. 4, 1998.
   Google Scholar
• Hassani, A. V., and Hollands, K. G. T., Conduction Shape Factor for a Region of Uniform Thickness Surrounding a Three-Dimensional Body of Arbitrary Shape, ASME Journal of Heat Transfer, vol. 112, no. 2, pp. 492–495, 1990. doi:10.1115/1.2910405.
   Web of Science ®Google Scholar
• Hassani, A. V., An Investigation of Free Convection Heat Transfer From Bodies of Arbitrary Shape, Ph.D. Thesis, University of Waterloo, Waterloo, ON, Canada, 1987.
   Google Scholar
• Eslami, M., and Jafarpur, K., Laminar Free Convection Heat Transfer From Isothermal Convex Bodies of Arbitrary Shape: A New Dynamic Model, Heat and Mass Transfer, vol. 48, no. 2, pp. 301–315, 2012. doi:10.1007/s00231-011-0885-6.
   Web of Science ®Google Scholar
• Eslami, M., Jafarpur, K., and Yovanovich, M. M., Laminar Natural Convection Heat Transfer From Isothermal Cones With Active End, Iranian Journal of Science and Technology, vol. 33, pp. 217–229, 2009.
   Google Scholar
• Eslami, M., and Jafarpur, K., Laminar Natural Convection Heat Transfer From Isothermal Cylinders With Active Ends, Heat Transfer Engineering, vol. 32, no. 6, pp. 506–513, 2011. doi:10.1080/01457632.2010.506378.
   Web of Science ®Google Scholar
• Arabi, P., and Jafarpur, K., Effect of Different Flow Regimes on Free Convection Heat Transfer From Isothermal Convex Bodies Over All Range of Rayleigh and Prandtl Numbers, Heat and Mass Transfer, vol. 52, no. 8, pp. 1665–1682, August 2016. doi:10.1007/s00231-015-1683-3.
   Web of Science ®Google Scholar
• Saunders, O. A., The Effect of Pressure Upon Natural Convection in Air, Proc. Royal Society of London. Series A, Mathematical and Physical Sciences, The Royal Society, London, UK, pp. 278–291, 1936.
   Google Scholar
• Warner, C. Y., and Arpaci, V. S., An Experimental Investigation of Turbulent Natural Convection in Air at Low Pressure Along a Vertical Heated Flat Plate, International Journal of Heat and Mass Transfer, vol. 11, no. 3, pp. 397–406, 1968. doi:10.1016/0017-9310(68)90084-7.
   Web of Science ®Google Scholar