Proposed Modifications for Models of Heat Transfer Problems Involving Partially Melted Phase Change Processes

2010 ◽  
pp. 234-234-27
Author(s):  
Yuan Fang ◽  
Mario A. Medina
Keyword(s):  
Heat Transfer ◽  
Phase Change ◽  
Change Processes ◽  
Transfer Problems

Proposed Modifications for Models of Heat Transfer Problems Involving Partially Melted Phase Change Processes

2009 ◽  
Vol 6 (9) ◽  
pp. 102059 ◽  
Author(s):  
Yuan Fang ◽  
Mario A. Medina ◽  
Phalguni Mukhopadhyaya ◽  
Mavinkal K. Kumaran ◽  
S. W. Dean
Keyword(s):  
Heat Transfer ◽  
Phase Change ◽  
Change Processes ◽  
Transfer Problems

Solution of the Phase Change Stefan Problem With Time-Dependent Heat Flux Using Perturbation Method

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Mohammad Parhizi ◽  
Ankur Jain
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Phase Change ◽  
Perturbation Method ◽  
Time Dependent ◽  
Engineering Applications ◽  
Theoretical Understanding ◽  
Present Solution ◽  
Phase Change Heat Transfer ◽  
Transfer Problems

Theoretical understanding of phase change heat transfer problems is of much interest for multiple engineering applications. Exact solutions for phase change heat transfer problems are often not available, and approximate analytical methods are needed to be used. This paper presents a solution for a one-dimensional (1D) phase change problem with time-dependent heat flux boundary condition using the perturbation method. Two different expressions for propagation of the phase change front are derived. For the special case of constant heat flux, the present solution is shown to offer key advantages over past papers. Specifically, the present solution results in greater accuracy and does not diverge at large times unlike past results. The theoretical result is used for understanding the nature of phase change propagation for linear and periodic heat flux boundary conditions. In addition to improving the theoretical understanding of phase change heat transfer problems, these results may contribute toward design of phase change based thermal management for a variety of engineering applications, such as cooling of Li-ion batteries.

Various Approaches to Numerical Discretization of Thermal Model With Phase Change

2015 ◽  
Author(s):  
Tomas Mauder ◽  
Lubomir Klimes ◽  
Pavel Charvat ◽  
Josef Stetina
Keyword(s):  
Heat Transfer ◽  
Phase Change ◽  
Thermal Model ◽  
Phase Change Materials ◽  
Heat Diffusion ◽  
Food Freezing ◽  
Wide Range ◽  
Comfort Food ◽  
Numerical Discretization ◽  
Transfer Problems

Phase change materials are nowadays used in a wide range of technical applications such as energy storage, building temperature comfort, food-freezing, etc. The accurate modelling of this process is important for the performance and usability of many technologies. Analytical solutions can be used only for simple heat transfer problems which make the numerical methods the only possible way how to deal with complex multidimensional cases. This paper deals with the comparison of commonly used numerical schemes for heat diffusion with phase change and its parallel computation possibilities.

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