Journal of Applied Mathematics
Volume 2 (2002), Issue 3, Pages 141-161

Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders

A. M. Abourabia,1 M. A. Mahmoud,2 and W. S. Abdel Kareem3

1Department of Mathematics, Faculty of Science, Menoufiya University, Shebin El-koam 32511, Egypt
2Department of Mathematics, Faculty of Science, Zagazig University, Banha, Egypt
3Department of Mathematics, Faculty of Education, Suez Canal University, Suez, Egypt

Received 16 August 2001

Copyright © 2002 A. M. Abourabia et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.