Network simulation method for solving phase-change heat transfer problems with variable thermal properties

2002 ◽  
Vol 38 (4-5) ◽  
pp. 327-335 ◽  
Author(s):  
F. Alhama ◽  
C. F. González-Fernández
Keyword(s):  
Heat Transfer ◽  
Thermal Properties ◽  
Phase Change ◽  
Network Simulation ◽  
Simulation Method ◽  
Phase Change Heat Transfer ◽  
Transfer Problems ◽  
Network Simulation Method

Numerical simulation of Nusselt-Rayleigh correlation in Bénard cells. A solution based on the network simulation method

2015 ◽  
Vol 25 (5) ◽  
pp. 986-997 ◽  
Author(s):  
Manuel Cánovas ◽  
Iván Alhama ◽  
Emilio Trigueros ◽  
Francisco Alhama
Keyword(s):  
Heat Transfer ◽  
Numerical Simulation ◽  
Porous Media ◽  
Design Methodology ◽  
Network Simulation ◽  
Simulation Method ◽  
Extensive Study ◽  
Dimensionless Number ◽  
Content Type ◽  
Network Simulation Method

Purpose – Natural convection with heat transfer in porous media has been subject of extensive study in engineering due to its numerous applications. A case of particular interest is the Bénard-type flow.The paper aims to discuss this issue. Design/methodology/approach – Based on the network simulation method in order to solve this problem, a numerical model is proposed. Findings – Nusselt-Rayleigh correlation is determined for a broad range of Rayleigh, the dimensionless number that influences the solution, above and below the threshold which separates the conduction and convection pure mechanisms. Originality/value – Based on the network simulation method.

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.

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