An Enhanced Mathematical Model for Phase Change Problems with Natural Convection
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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. (1970). 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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