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Modeling of Ice-Water Phase Change in Horizontal Annulus Using Modified Enthalpy Method

Published online by Cambridge University Press:  03 June 2015

Esad Tombarević  and
Igor Vušanović
Esad Tombarević*
Affiliation:
Faculty of Mechanical Engineering, University of Montenegro, Cetinjski put bb, 81000 Podgorica, Montenegro
Igor Vušanović*
Affiliation:
Faculty of Mechanical Engineering, University of Montenegro, Cetinjski put bb, 81000 Podgorica, Montenegro
*
Corresponding author. Email: esadt@ac.me
Email: igorvus@ac.me
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Abstract

Phase change in ice-water systems in the geometry of horizontal cylindrical annulus with constant inner wall temperature and adiabatic outer wall is modeled with an enthalpy-based mixture model. Solidification and melting phenomena under different temperature conditions are analyzed through a sequence of numerical calculations. In the case of freezing of water, the importance of convection and conduction as well as the influence of cold pipe temperature on time for the complete solidification are examined. As for the case of melting of ice, the influence of the inner pipe wall temperature on the shape of the ice-water interface, the flow and temperature fields in the liquid, the heat transfer coefficients and the rate of melting are analyzed. The results of numerical calculations point to good qualitative agreement with the available experimental and other numerical results.

Keywords

80A22Phase changesolidificationmeltingenthalpy modelfixed gridannulus
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 3 , June 2011 , pp. 354 - 369
Copyright
Copyright © Global-Science Press 2011

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References

[1] Cheng, K. C., and Seki, N., Freezing and Melting Heat Transfer in Engineering: Selected Topics on Ice-Water Systems and Welding and Casting Processes, Hemisphere, New York, 1991.Google Scholar
[2] Dantzig, J., and Rappaz, M., Solidification, EPFL-Press, 2009.CrossRefGoogle Scholar
[3] Viskanta, R., Natural convection in melting and solidification, in: Kakac¸, S. et al. (Eds.), Natural Convection: Fundamentals and Applications, Hemisphere, Washington DC, 1985, pp. 845–877.Google Scholar
[4] Stefan, J., Ü ber die Theorie der Eisbildung, insbesondere über die Eisbildung in Polarmeere, Annalen der Physik und Chemie, 42 (1891), pp. 269–286.CrossRefGoogle Scholar
[5] Crank, J., Free and Moving Boundary Problems, Clarendon Press, Oxford, 1984.Google Scholar
[6] Voller, V. R., An overview of numerical methods for solving phase change problems, in Advances in Numerical Heat Transfer (Eds. Minkowycz, W. J. and Sparrow, E. M.), Taylor & Francis, New York, 1997, pp. 341–380.Google Scholar
[7] Albert, M. R., and O’neill, K., Moving boundary-moving mesh analysis of phase change using finite elements with transfinite mappings, Int. J. Numer. Methods. Eng., 16 (1990), pp. 465–506.Google Scholar
[8] Lynch, M. R., Unified approach to simulation on deforming elements with application to phase change problems, J. Comput. Phys., 47 (1986), pp. 591–607.Google Scholar
[9] Voller, V. R., and Swaminathan, C. R., Fixed grid techniques for phase change problems: a review, Inter. J. Numer. Methods. Eng., 30 (1990), pp. 875–898.CrossRefGoogle Scholar
[10] Voller, V. R., and Prakash, C., A fixed grid numerical methodology for convection diffusion mushy region phase change problems, Int. J. Heat. Mass. Trans., 30/8 (1987), pp. 1709–1719.CrossRefGoogle Scholar
[11] Dinçer, I., and Rosen, M. A., Thermal Energy Storage: Systems and Applications, John Willey & Sons, New York, 2001.Google Scholar
[12] Zalba, B., Marin, J. M., Cabeza, L. F., and Mehling, H., Review on thermal energy storage with phase change: materials, heat transfer analysis and applications, Appl. Thermal. Eng., 23 (2003), pp. 251–283.CrossRefGoogle Scholar
[13] Saito, A., Recent advances in research on cold thermal energy storage, J. Refr., 25 (2002), pp. 177–189.CrossRefGoogle Scholar
[14] Yao, L. S., and Prusa, J., Melting and freezing, Adv. Heat. Trans., 19 (1989), pp. 1–95.CrossRefGoogle Scholar
[15] White, D., Viskanta, R., and Leidenfrost, W., Heat transfer during melting of ice around a horizontal, isothermal cylinder, Exp. Fluids., 4 (1986), pp. 171–179.CrossRefGoogle Scholar
[16] Ho, C. J., and Chen, S., Numerical simulation of melting of ice around a horizontal cylinder, Int. J. Heat. Mass. Trans., 29/9 (1986), pp. 1359–1369.CrossRefGoogle Scholar
[17] Bennon, W. D, and Incropera, F. P., A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems-I, model formulation, Int. J. Heat. Mass. Trans., 10 (1986), pp. 2161–2170.Google Scholar
[18] Patankar, S. V, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1980.Google Scholar
[19] Saitoh, T., and Hirose, K., Numerical method for the two-dimensional freezing problem around a horizontal cylinder encompassing a density inversion point, B. JSME., 187/20 (1981), pp. 147–152.CrossRefGoogle Scholar