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TECHNICAL PAPERS

Transient Heat Conduction in a Heat Generating Layer Between Two Semi-Infinite Media

[+] Author and Article Information
Leendert van der Tempel

Philips Research Laboratories, 5656 AA Eindhoven, The Netherlands, e-mail: Leendert.van.der.Tempel@Philips.com

J. Heat Transfer 124(2), 299-306 (Oct 30, 2001) (8 pages) doi:10.1115/1.1447930 History: Received April 27, 2001; Revised October 30, 2001
Copyright © 2002 by ASME
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References

Holtslag,  A. H. M., 1989, “Calculations on Temperature Profiles in Optical Recording,” J. Appl. Phys., 66, pp. 1530–1543.
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Mikhailov, M. D., and Özişik, M. N., 1984, Unified Analysis and Solutions of Heat and Mass Diffusion, John Wiley & Sons, New York.
Mikhailov,  M. D., Özişik,  M. N., and Vulchanov,  N. L., 1983, “Diffusion in Composite Layers With Automatic Solution of the Eigenvalue Problem,” Int. J. Heat Mass Transf., 26, pp. 1131–1141.
Myers, G. E., 1998, Analytical Methods in Conduction Heat Transfer, 2nd ed., AMCHT Publications, Madison, WI.
van der Tempel, L., Potze, W., and Lammers, J. H., 1999, “Transient Heat Conduction in a Layer Between Two Semi-Infinite Media,” Proceedings of 33rd National Heat Transfer Conference, Albuquerque, NM, HTD99–100.
Zhang, X., Hendro, W., Fujii, M., Tomimura, T., and Imaishi, N., 2000, “Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short-Hot-Wire Method,” 14th Symposium on Thermophysical Properties 2000, Boulder, CO.
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Peng,  C., Cheng,  L., and Mansuripur,  M., 1997, “Experimental and Theoretical Investigations of Laser-Induced Crystallization and Amorphization in Phase-Change Optical Recording Media,” J. Appl. Phys., 82, pp. 4183–4191.
Padé, H., 1892, “Sur la réprésentation approchée d’une fonction par des fractions rationelles,” Annales Sci. École Normale Supérieure, 9 Suppl., pp. 1–93.
Viète, F., 1646, Opera Mathematica, Leiden, the Netherlands.
Abramowitz, M., and Stegun, I. A., Handbook of Mathematical Functions, Dover Publications, New York.
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Figures

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Common logarithm of the absolute truncation error after 4 terms of the temperature series
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Common logarithm of the absolute error of the rational temperature approximation
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Common logarithm of the absolute error of the Padé-like temperature approximation
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Measured reflectivity against the calculated maximum stack temperature
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Measured radial tilt increase against the calculated maximum stack temperature
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One-dimensional geometry
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Laplace transformed temperature distribution
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Relative truncation error after four terms of the series
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Relative error of the rational approximation
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Relative error of the Padé approximation
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Temperature rise in layer o as a function of dimensionless damping time η2T and dimensionless time η2t
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Temperature distribution during initialization of CD-RWs
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Relation between absolute maximum temperature solution error and computational work
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Comparison of stack temperature calculations by 1DT, 2DT, and 3DT models

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