In this paper, we develop an analytical heat transfer model, which is capable of analyzing cyclic melting and solidification processes of a phase change material used in the context of electronics cooling systems. The model is essentially based on conduction heat transfer, with treatments for convection and radiation embedded inside. The whole solution domain is first divided into two main sub-domains, namely, the melting sub-domain and the solidification sub-domain. Each sub-domain is then analyzed for a number of temporal regimes. Accordingly, analytical solutions for temperature distribution within each sub-domain are formulated either using a semi-infinity consideration, or employing a method of quasi-steady state, depending on the applicability. The solution modules are subsequently united, leading to a closed-form solution for the entire problem. The analytical solutions are then compared with experimental and numerical solutions for a benchmark problem quoted in the literature, and excellent agreements can be observed.
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March 2003
Technical Papers
Analytical Solutions for Heat Transfer During Cyclic Melting and Freezing of a Phase Change Material Used in Electronic or Electrical Packaging
Suman Chakraborty,
Suman Chakraborty
Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur 721302, India
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Pradip Dutta, Mem. ASME,
Pradip Dutta, Mem. ASME,
Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560012, India
Search for other works by this author on:
Suman Chakraborty
Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur 721302, India
Pradip Dutta, Mem. ASME,
Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560012, India
Contributed by the Electronic and Photonic Packaging Division for publication in the JOURNAL OF ELECTRONIC PACKAGING. Manuscript received by the EPPD Division, January 23, 2002. Associate Editor: Y. Joshi.
J. Electron. Packag. Mar 2003, 125(1): 126-133 (8 pages)
Published Online: March 14, 2003
Article history
Received:
January 23, 2002
Online:
March 14, 2003
Citation
Chakraborty, S., and Dutta, P. (March 14, 2003). "Analytical Solutions for Heat Transfer During Cyclic Melting and Freezing of a Phase Change Material Used in Electronic or Electrical Packaging ." ASME. J. Electron. Packag. March 2003; 125(1): 126–133. https://doi.org/10.1115/1.1535445
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