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Kinetic‐Theory Description of Conductive Heat Transfer from a Fine Wire

Lees, Lester and Liu, Chung-Yen (1962) Kinetic‐Theory Description of Conductive Heat Transfer from a Fine Wire. Physics of Fluids, 5 (10). pp. 1137-1148. ISSN 1070-6631. doi:10.1063/1.1706498.

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The Maxwell moment method utilizing the two‐sided Maxwellian distribution function is applied to the problem of conductive heat transfer between two concentric cylinders at rest. Analytical solutions are obtained for small temperature differences between the cylinders. The predicted heat transfer agrees very well with experiments performed on the heat loss from a fine wire by Bomelburg and Schäfer, Rating, and Eucken. Comparison with results given by Grad's thirteen‐moment equations, and with those given by Fourier's "law'' plus the Maxwell—Smoluchowski temperature‐jump boundary condition, shows that the two‐sided character of the distribution function is a crucial factor in problems involving surface curvature.

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Additional Information:© 1962 The American Institute of Physics. Received 14 May; 1962. Published online 09 December 2004. The work discussed in this paper was carried out under the sponsorship and with the financial support of the U. S. Army Research Office and the Advanced Research Projects Agency, Contract No. DA-04-495-Ord-3231.
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Army Research Office (ARO)UNSPECIFIED
Advanced Research Projects AgencyDA-04-495-ORD-3231
Issue or Number:10
Record Number:CaltechAUTHORS:20131120-135449172
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Official Citation:Kinetic‐Theory Description of Conductive Heat Transfer from a Fine Wire Lees, Lester and Liu, Chung‐Yen, Physics of Fluids (1958-1988), 5, 1137-1148 (1962), DOI:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42597
Deposited By: David McCaslin
Deposited On:21 Nov 2013 16:27
Last Modified:10 Nov 2021 16:25

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