Volume 3, Issue 2
An Enhanced Mathematical Model for Phase Change Problems with Natural Convection

YOUSSEF BELHAMADIA, ABDOULAYE S. KANE, AND ANDR ́E FORTIN

Int. J. Numer. Anal. Mod. B, 3 (2012), pp. 192-206

Published online: 2012-03

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  • Abstract
The enthalpy-porosity technique is commonly used for modeling phase change problems with natural convection. In most applications however, this technique is restricted to equal thermophysical properties of solid and liquid phases. In this paper, an enhanced formulation based on the enthalpy-porosity method is proposed where the different thermophysical properties between the two phases can be easily taken into account. Accurate temporal and spatial discretizations are also presented for solving the proposed formulation. Numerical simulations on pure gallium melting and a comparison between experimental and numerical results for water solidification are presented to illustrate the performance of the proposed model and numerical methodology.
  • AMS Subject Headings

80A20 80A22 80M10 65M60 76D05

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-3-192, author = {YOUSSEF BELHAMADIA, ABDOULAYE S. KANE, AND ANDR ́E FORTIN}, title = {An Enhanced Mathematical Model for Phase Change Problems with Natural Convection}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2012}, volume = {3}, number = {2}, pages = {192--206}, abstract = {The enthalpy-porosity technique is commonly used for modeling phase change problems with natural convection. In most applications however, this technique is restricted to equal thermophysical properties of solid and liquid phases. In this paper, an enhanced formulation based on the enthalpy-porosity method is proposed where the different thermophysical properties between the two phases can be easily taken into account. Accurate temporal and spatial discretizations are also presented for solving the proposed formulation. Numerical simulations on pure gallium melting and a comparison between experimental and numerical results for water solidification are presented to illustrate the performance of the proposed model and numerical methodology.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/278.html} }
TY - JOUR T1 - An Enhanced Mathematical Model for Phase Change Problems with Natural Convection AU - YOUSSEF BELHAMADIA, ABDOULAYE S. KANE, AND ANDR ́E FORTIN JO - International Journal of Numerical Analysis Modeling Series B VL - 2 SP - 192 EP - 206 PY - 2012 DA - 2012/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/278.html KW - Phase change problems with natural convection KW - mixed finite element formulation KW - interface liquid-solid KW - gallium melting KW - and water solidification AB - The enthalpy-porosity technique is commonly used for modeling phase change problems with natural convection. In most applications however, this technique is restricted to equal thermophysical properties of solid and liquid phases. In this paper, an enhanced formulation based on the enthalpy-porosity method is proposed where the different thermophysical properties between the two phases can be easily taken into account. Accurate temporal and spatial discretizations are also presented for solving the proposed formulation. Numerical simulations on pure gallium melting and a comparison between experimental and numerical results for water solidification are presented to illustrate the performance of the proposed model and numerical methodology.
YOUSSEF BELHAMADIA, ABDOULAYE S. KANE, AND ANDR ́E FORTIN. (2012). An Enhanced Mathematical Model for Phase Change Problems with Natural Convection. International Journal of Numerical Analysis Modeling Series B. 3 (2). 192-206. doi:
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