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An experimental investigation of natural convection in the melted region around a heated horizontal cylinder

Published online by Cambridge University Press:  19 April 2006

A. G. Bathelt
Affiliation:
Heat Transfer Laboratory, School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907
R. Viskanta
Affiliation:
Heat Transfer Laboratory, School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907
W. Leidenfrost
Affiliation:
Heat Transfer Laboratory, School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907

Abstract

Melting from an electrically heated horizontal cylinder embedded in a paraffin (n-octadecane, fusion temperature 301·3 °K) has been studied experimentally. The shape of the solid-liquid interface has been determined photographically, and the local heat transfer coefficients have been measured using a shadowgraph technique. The experiments provide conclusive evidence of the important role played by natural convection in melting a solid due to an embedded cylindrical heat source. The four distinct pieces of quantitative evidence which contribute to this conclusion are the melt shape, surface temperature, local and average heat transfer coefficients and their variation with time.

The experimental findings prove the importance of natural convection in phase change problems involving melting and indicate that continued practice of neglecting the effects in the analysis of such problems does not appear reasonable. Natural convection should be considered in analysis and design of systems involving phase change.

Type
Research Article
Copyright
© 1979 Cambridge University Press

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References

Bankoff, S. G. 1964 Heat conduction and diffusion with a phase change. Advances in Chemical Engineering (ed. T. B. Drew et al.), vol. 5, pp. 75150, Academic Press.
Bathelt, A. G., Viskanta, R. & Leidenfrost, W. 1978 Experiments on the role of natural convection and heat source arrangement in the melting of a solid. A.S.M.E. Paper 78-HT-47.Google Scholar
Doss, M. P. 1943 Physical Constants of the Principal Hydrocarbons. The Texas Company.
Dreisbach, R. B. 1959 Physical Properties of Chemical Compounds. Advances in Chemistry Series, American Chemical Society, no. 22.
Egloff, G. 1953 Physical Constants of Hydrocarbons. American Chemical Society, Monograph Series.
Fant, R. M. & Keswani, K. K. 1973 Mass rate of flow in the natural convection plume above a heated horizontal cylinder immersed in a liquid. J. Heat Transfer 95, 192.Google Scholar
Goldstein, R. J. & Eckert, E. R. G. 1960 The steady and transient free convection boundary layer on a uniformly heated vertical plate. Int. J. Heat Mass Transfer 1, 208.Google Scholar
Grigull, U. & Hauf, W. 1966 Natural convection in horizontal annulii. Proceedings of the 3rd International Heat Transfer Conference, American Institute of Chemical Engineers, vol. 2, pp. 182195.
Hauf, W. & Grigull, U. 1970 Optical methods in heat transfer. Advances in Heat Transfer (ed. J. P. Hartnett & T. F. Irvine), vol. 6, pp. 133366. Academic Press.
Horsthemke, A. & Marschall, E. 1976 Speicherung von Thermischer Energie in Salz- und Metallschmelzen. Brennstoff-Wärme-Kraft 28 (1), 18.Google Scholar
Kurtz, S. S. & Sankin, A. 1953 Density and refractive index of hydrocarbons. Physical Chemistry of the Hydrocarbons (ed. A. Farkas), vol. 2, pp. 180. Academic Press.
Lorsch, H. G., Kauffman, K. W. & Denton, J. C. 1975 Thermal energy storage for solar heating and off-peak air conditioning. Energy Conversion 15, 1.Google Scholar
Martin, S. & Kauffman, P. 1974 The evolution of under-ice melt ponds, or double diff usion at the freezing point J. Fluid Mech. 64, 507.Google Scholar
Maxwell, J. B. 1950 Databook on Hydrocarbons. Van Nostrand.
Rubinstein, L. I. 1971 The Stefan Problem. Trans. Math. Monogr., American Mathematical Society.
Schmidt, E. 1932 Schlierenaufnahmen des Temperaturfeldes in der Nähe wärmeabgebender Körper. Forschung 3, 181.Google Scholar
Schmidt, E. & Leidenfrost, W. 1953 Der Einfluss electrischer Felder auf den Wärmetransport in flüssigen electrischen Nichtleitern. Forsch. Ing. Wes. 19, 65.Google Scholar
Seki, N., Fukusako, S. & Sugawara, M. 1977 A criterion of onset of free convection in a horizontal melted water layer with free surface. J. Heat Transfer 99, 92.Google Scholar
Shamsundar, N. & Sparrow, E. M. 1976 Effect of density change on multidimensional conduction phase change. J. Heat Transfer 98, 550.Google Scholar
Smith, J. F. D. 1936 The thermal conductivity of liquids. Trans. A.S.M.E. 58, 719.Google Scholar
Sparrow, E. M., Patankar, S. V. & Ramadhyani, S. 1977 Analysis of melting in the presence of natural convection in the melt region. J. Heat Transfer 99, 520.Google Scholar
Sparrow, E. M., Schmidt, R. R. & Ramsey, J. W. 1978 Experiments on the role of natural convection in the melting of solids. J. Heat Transfer 100, 11.Google Scholar
Vest, C. M. & Lawson, M. L. 1972 Onset of convection near a suddenly heated horizontal wire. Int. J. Heat Mass Transfer 15, 1281.Google Scholar
White, R. D., Bathelt, A. G., Leidenfrost, W. & Viskanta, R. 1977 Study of heat transfer and melting front from a cylinder imbedded in a phase change material. A.S.M.E. Paper 77-HT-42.Google Scholar