Journal of Applied Mathematics

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

A. M. Abourabia, M. A. Mahmoud, and W. S. Abdel Kareem

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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.

Article information

J. Appl. Math., Volume 2, Number 3 (2002), 141-161.

First available in Project Euclid: 30 March 2003

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 74A25: Molecular, statistical, and kinetic theories 80Axx
Secondary: 74A15 62P30


Abourabia, A. M.; Mahmoud, M. A.; Abdel Kareem, W. S. Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders. J. Appl. Math. 2 (2002), no. 3, 141--161. doi:10.1155/S1110757X02108023.

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