Modelling hyperbolic heat conduction in a finite medium with periodic thermal disturbance and surface radiation

Applied Mathematical Modelling

Volumn 27, Issue 5, 2003, Pages 397-408

  Yen, Ching Chuan ^a   Wu, Chih Yang ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Hyperbolic heat conduction; Integral equation; Non Fourier effect; Periodic thermal disturbance; Surface radiation

Indexed keywords

HEAT FLUX; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

HYPERBOLIC HEAT CONDUCTION;

HEAT CONDUCTION;

HEAT CONDUCTION; MATHEMATICAL ANALYSIS;

EID: 0037402834     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(03)00045-3     Document Type: Article

References (13)

1. M.N. Özisik, D.Y. Tzou, On the wave theory in heat conduction, J. Heat Transf. 116 (1994) 526-535.
2. P. Vernotte, Les paradoxes de la theorie continue de l'equation de la chaleur, C. R. Acad. Sci. 246 (1958) 3154-3155.
3. Y. Taitel, On the parabolic, hyperbolic and discrete formulation of the heat conduction equation, Int. J. Heat MassTransf. 15(1972) 369-371.
4. D.E. Glass, M.N. Özisik, D.S. McRae, B. Vick, On the numerical solution of hyperbolic heat conduction, Numer. Heat Transf. 8 (1985) 497-504.
5. C.-Y. Wu, Hyperbolic heat conduction with surface radiation and reflection, Int. J. Heat Mass Transf. 32 (1989)1585-1587.
6. A. Kar, C.L. Chan, J. Mazumder, Comparative studies on nonlinear hyperbolic and parabolic heat conduction for various boundary conditions: analytic and numerical solutions, J. Heat Transf. 114 (1992) 14-20.
7. D.W. Tang, N. Araki, The wave characteristics of thermal conduction in metallic films irradiated by ultra-shortlaser pulses, J. Phys. D: Appl. Phys. 29 (1996) 2527-2533.
8. W.W. Yuen, S.C. Lee, Non-Fourier heat conduction in a semi-in.nite solid subjected to oscillatory surface thermaldisturbances, J. Heat Transf. (1989) 178-181.
9. D.E. Glass, M.N. Özisik, B. Vick, Non-Fourier effects on transient temperature resulting from periodic on-off heat flux, Int. J. Heat Mass Transf. 30 (1987) 1623-1631.
10. D.W. Tang, N. Araki, Non-Fourier heat conduction in a finite medium under periodic surface thermal disturbance, Int. J. Heat Mass Transf. 39 (1996) 1585-1590.
11. B. Abdel-Hamid, Modelling non-Fourier heat conduction with periodic thermal oscillation using the finite integral transform, Appl. Math. Model. 23 (1999) 899-914.
12. C.-Y. Wu, Integral equation solution for hyperbolic heat conduction with surface radiation, Int. Commun. Heat Mass Transf. 15 (1988) 365-374.
13. C.-C. Yen, Inverse heat conduction problems with surface radiation, MS thesis, National Cheng Kung University, Tainan, Taiwan, 2002