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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. Hypersonic Research Project Memorandum, 65. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20151105-155638313

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Abstract

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 by Bomelburg, 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 in the distribution function is a crucial factor in problems involving surface curvature.


Item Type:Report or Paper (Technical Report)
Additional Information:Army Ordnance Contract No. DA-04-495-ORD-3231.
Group:Hypersonic Research Project
Funders:
Funding AgencyGrant Number
U. S. Army Office of OrdnanceDA-04-495-ORD-3231
Series Name:Hypersonic Research Project Memorandum
Issue or Number:65
Record Number:CaltechAUTHORS:20151105-155638313
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151105-155638313
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61914
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:06 Nov 2015 00:07
Last Modified:03 Oct 2019 09:13

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