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

Full-text: Open access

Abstract

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

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

Dates
First available in Project Euclid: 30 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.jam/1049075017

Digital Object Identifier
doi:10.1155/S1110757X02108023

Mathematical Reviews number (MathSciNet)
MR1915663

Zentralblatt MATH identifier
1016.76069

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

Citation

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. https://projecteuclid.org/euclid.jam/1049075017


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