Analytical Solutions for Heat Transfer During Cyclic Melting and Freezing of a Phase Change Material Used in Electronic or Electrical Packaging

[+] Author and Article Information
Suman Chakraborty

Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur 721302, Indiae-mail: sumanc@mech.iitgp.ernet.in

Pradip Dutta

Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560012, Indiae-mail: pradip@mecheng.iisc.ernet.in

J. Electron. Packag 125(1), 126-133 (Mar 14, 2003) (8 pages) doi:10.1115/1.1535445 History: Received January 23, 2002; Online March 14, 2003
Copyright © 2003 by ASME
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Bransier,  J., 1979, “Storage Periodique Par Chaleur Latente: Aspects Fonasmentaux\lies a La Cinetique Des Transferts,” Int. J. Heat Mass Transf., 22, pp. 875–883.
Kalhori,  B., and Ramadhyani,  S., 1985, “Studies on Heat Transfer from a Vertical Cylinder, With or Without Fins Embedded in a Solid Phase Change Medium,” ASME J. Heat Transfer, 107, pp. 44–51.
Jariwala,  V., Mujumdar,  A. S., and Weber,  M. E., 1987, “The Periodic Steady State for Cyclic Energy Storage in Paraffin Wax,” Can. J. Chem. Eng., 65, pp. 899–906.
Gong,  Z., and Mujumdar,  A. S., 1996, “Enhancement of Energy Storage Change Rates in Composite Slabs of Different Phase Change Materials,” Int. J. Heat Mass Transf., 39, pp. 725–733.
Lu,  T. J., Evans,  A. G., and Hutchinson,  J. W., 1998, “The Effects of Properties on Heat Dissipation in High Power Electronics,” ASME J. Electron. Packag., 120, pp. 280–289.
Laouadi,  A., and Lacroix,  M., 1999, “Thermal Performance of a Heat Energy Storage Ventilated Panel for Electronic Load Management,” Int. J. Heat Mass Transf., 42, pp. 275–286.
Chan,  G., and Tien,  C. L., 1994, “Thermally Induced Optical Non-linearity During Transient Heating of Thin Films,” ASME J. Heat Transfer, 116, pp. 311–316.
El-Adawi,  M. K., 1986, “Laser Melting of Solids: An Exact Solution for Time Intervals less or equal to the Transit Time,” J. Appl. Phys., 60, pp. 2256–2259.
Xie,  J., and Kar,  A., 1997, “Mathematical Modelling of Melting during Laser Materials Processing,” J. Appl. Phys., 81, pp. 3015–3022.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, Oxford University Press, Oxford, UK.
Arpai, V. S., 1966, Conduction Heat Transfer, Addison-Wesley, Reading, MA.
Shah, R. K., and Bhatti, M. S., 1987, “Laminar Convective Heat Transfer in Ducts,” eds. S. Kakac, R. K. Shah, and W. Aung, Handbook of Single-Phase Convective Heat Transfer, Wiley, New York, NY.
Incropera, F. P., and DeWitt, D. P., 1990, Fundamentals of Heat and Mass Transfer, 4th Editors, John Wiley and Sons, New York, NY.
Lacroix,  M., 1993, “Numerical Simulation of a Shell-and-tube Latent Heat Thermal Energy Storage Unit,” Sol. Energy, 50, pp. 357–367.


Grahic Jump Location
A schematic diagram of the generic problem
Grahic Jump Location
Mathematical model of the generic problem
Grahic Jump Location
Temperature distribution for the first test problem
Grahic Jump Location
Temperature distribution for the second test problem




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