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TECHNICAL PAPERS: Conduction Heat Transfer

Nonequilibrium Entropy Production Under the Effect of the Dual-Phase-Lag Heat Conduction Model

[+] Author and Article Information
M. A. Al-Nimr, M. Naji

Mechanical Engineering Department, Jordan University of Science and Technology, Irbid 22110, Jordan

V. S. Arbaci

Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109

J. Heat Transfer 122(2), 217-223 (Jan 10, 2000) (7 pages) doi:10.1115/1.521461 History: Received June 29, 1999; Revised January 10, 2000
Copyright © 2000 by ASME
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References

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Brey,  J., and Prados,  A., 1990, “Calculation of the Entropy From Master Equations With Time-Dependent Transient Probabilities,” Phys. Rev. A, 42, No. 2, p. 765.
Brey,  J., and Santos,  A., 1992, “Nonequilibrium Entropy of Gas,” Phys. Rev. A (15), Statistical Physics, P, 45, No. 12, p. 8566.
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Jou, D., Vazquez, J. C., and Labon, G., 1993, Extended Irreversible Thermodynamics, Springer, Berlin.
Sieniutycz,  S., and Berry,  R. S., 1992, “Least-Entropy Generation: Variational Principle of Onsager’s Type for Transient Hyperbolic Heat and Mass Transfer,” Phys. Rev. A (15), Statistical Physics, P, 46, No. 10, pp. 6359–6368.
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Figures

Grahic Jump Location
Spatial distribution of the dimensionless temperature at different dimensionless times for τq=0.01,τT=1.0, and θw=1.0
Grahic Jump Location
Spatial distribution of the dimensionless heat flux at different dimensionless times for τq=0.01,τT=1.0, and θw=1.0
Grahic Jump Location
Effect of the dimensionless heat flux phase-lag on the spatial distribution of the dimensionless temperature for η=2,τqT=0.05 and θw=1.0
Grahic Jump Location
Effect of the dimensionless heat flux phase-lag on the spatial distribution of the dimensionless heat flux for η=2,τqT=0.05 and θw=1.0
Grahic Jump Location
Spatial distribution of the dimensionless nonequilibrium entropy production at different dimensionless times for τq=0.01,τT=1.0, and θw=1.0
Grahic Jump Location
Effect of the dimensionless heat flux phase-lag on the spatial distribution of the dimensionless nonequilibrium entropy production for η=2,τqT=0.05 and θw=1.0
Grahic Jump Location
Spatial distribution of the dimensionless equilibrium entropy production for η=2,τq=2,τT=1×10−8, and θw=1.0
Grahic Jump Location
Effect of the dimensionless phase-lag ratio on the spatial distribution of the dimensionless temperature difference for η=2,τq=0.1, and θw=1.0
Grahic Jump Location
Effect of the dimensionless wall temperature on the spatial distribution of the dimensionless nonequilibrium entropy production for η=2,τq=0.1, and τqT=0.05
Grahic Jump Location
Spatial distribution of the dimensionless heat flux for the three different models for η=2,τ=τT−τq=1,τq=1,τT=2, and θw=1.0
Grahic Jump Location
Spatial distribution of the dimensionless nonequilibrium entropy production for the three different models for η=2,τ=τT−τq=1,τq=1,τT=2, and θw=1.0
Grahic Jump Location
Spatial distribution of the dimensionless heat flux for η=2,τq=2,τT=1×10−8, and θw=1.0
Grahic Jump Location
Spatial distribution of the dimensionless nonequilibrium entropy production for η=2,τq=2,τT=1×10−8, and θw=1.0

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