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18 June 2002 Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders
A. M. Abourabia, M. A. Mahmoud, W. S. Abdel Kareem
J. Appl. Math. 2(3): 141-161 (18 June 2002). DOI: 10.1155/S1110757X02108023


We consider a kinetic-theory treatment of the cylindrical unsteady heat transfer. A model kinetic equation of the BGK (Bhatnager-Gross-Krook) type is solved using the method of moments with a two-sided distribution function. We study the relations between the different macroscopic properties of the gas as the temperature, density, and heat flux with both the radial distance r and the time t. Also we study the problem from the viewpoint of irreversible thermodynamics and estimate the entropy, entropy production, entropy flux, thermodynamic forces, kinetic coefficients, the change in internal energy, and verify Onsager′s relation for nonequilibrium thermodynamic properties of the system.


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A. M. Abourabia. M. A. Mahmoud. W. S. Abdel Kareem. "Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders." J. Appl. Math. 2 (3) 141 - 161, 18 June 2002.


Published: 18 June 2002
First available in Project Euclid: 30 March 2003

zbMATH: 1016.76069
MathSciNet: MR1915663
Digital Object Identifier: 10.1155/S1110757X02108023

Primary: 74A25 , 80Axx
Secondary: 62P30 , 74A15

Rights: Copyright © 2002 Hindawi

Vol.2 • No. 3 • 18 June 2002
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