Non-Fourier heat conduction in a finite medium with insulated boundaries and arbitrary initial conditions

International Communications in Heat and Mass Transfer

Volumn 35, Issue 1, 2008, Pages 103-111

  Moosaie, Amin ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Arbitrary initial conditions; Finite medium; Hyperbolic conduction; Insulated boundaries; Non Fourier conduction

Indexed keywords

BOUNDARY CONDITIONS; FOURIER SERIES; INTEGRAL EQUATIONS; THERMAL INSULATION;

FOURIER COSINE SERIES; NON-FOURIER CONDUCTION;

HEAT CONDUCTION;

BOUNDARY CONDITIONS; FOURIER SERIES; HEAT CONDUCTION; INTEGRAL EQUATIONS; THERMAL INSULATION;

EID: 37149011782     PISSN: 07351933     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icheatmasstransfer.2007.08.001     Document Type: Article

References (25)

1. Chester M. Second sound in solids. Phys. Rev. 131 (1963) 2013-2015
2. Brown J.B., Chung D.Y., and Matthews P.W. Heat pulses at low temperatures. Phys. Lett. 21 (1966) 241-243
3. Cattaneo C. Sur une forme de l'equation de la chaleur elinant le paradoxe d'une propagation instantance. C. R. Acad. Sci. 247 (1958) 431-432
4. Vernotte P. Les paradoxes de la theorie continue de l'equation de la chaleur. C. R. Acad. Sci. 246 (1958) 3154-3155
5. Maxwell J.C. On the dynamic theory of gases. Phil. Trans. R. Soc. Lond. 157 (1867) 49-88
6. Baumeister K.J., and Hamill T.D. Hyperbolic heat conduction equation - a solution for the semi-infinite body problem. J. Heat Transfer 91 (1969) 543-548
7. Baumeister K.J., and Hamill T.D. Hyperbolic heat conduction equation - a solution for the semi-infinite body problem. J. Heat Transfer 93 (1971) 126-127
8. Sadd M.H., and Cha C.Y. Axisymmetric non-Fourier temperatures in cylindrically bounded domains. Int. J. Non-Linear Mech. 17 (1982) 129-136
9. Taitel V. On the parabolic, hyperbolic and discrete formulation of the heat conduction equation. Int. J. Heat Mass Transfer 15 (1972) 369-371
10. Carey G.F., and Tsai M. Hyperbolic heat transfer with reflection. Numer. Heat Transf. 5 (1982) 309-327
11. Özisik M.N., and Vick B. Propagation and reflection of thermal waves in a finite medium. Int. J. Heat Mass Transfer 27 (1984) 1845-1854
12. Frankel J.I., Vick B., and Özisik M.N. Flux formulation of hyperbolic heat conduction. J. Appl. Phys. 58 (1985) 3340-3345
13. Glass D.E., Özisik M.N., and Vick B. Hyperbolic heat conduction with surface radiation. Int. J. Heat Mass Transfer 28 (1985) 1823-1830
14. Glass D.E., Özisik M.N., McRae D.S., and Vick B. Hyperbolic heat conduction with temperature-dependent thermal conductivity. J. Appl. Phys. 59 (1986) 1861-1865
15. Gembarovic J., and Majernik V. Non-Fourier propagation of heat pulse in finite medium. Int. J. Heat Mass Transfer 31 (1988) 1073-1081
16. Tang D.W., and Araki N. Non-Fourier heat conduction in a finite medium under periodic surface thermal disturbance. Int. J. Heat Mass Transfer 39 (1996) 1585-1590
17. Tang D.W., and Araki N. Non-Fourier heat conduction in a finite medium under periodic surface thermal disturbance-II. Another form of solution. Int. J. Heat Mass Transfer 39 (1996) 3305-3308
18. Mikhailov M.D., and Cotta R.M. Steady-periodic hyperbolic heat conduction in a finite slab. Int. Commun. Heat Mass Transf. 24 (1997) 725-731
19. Abdel-Hamid B. Modelling non-Fourier heat conduction with periodic thermal oscillation using the finite integral transform. Appl. Math. Model. 23 (1999) 899-914
20. Tang D.W., and Araki N. Analytical solution of non-Fourier temperature response in a finite medium under laser-pulse heating. Heat Mass Transfer 31 (1996) 359-363
21. Tang D.W., and Araki N. Non-Fourier heat condution behavior in finite mediums under pulse surface heating. Mater. Sci. Eng., A Struct. Mater.: Prop. Microstruct. Process. 292 (2000) 173-178
22. Glass D.E., Özisik M.N., and Vick B. Non-Fourier effects on transient temperature resulting from periodic on-off heat flux. Int. J. Heat Mass Transfer 30 (1987) 1623-1631
23. Yen C.-C., and Wu C.-Y. Modelling hyperbolic heat conduction in a finite medium with periodic thermal disturbance and surface radiation. Appl. Math. Model. 27 (2003) 397-408
24. Lewandowska M., and Malinowski L. An analytical solution of the hyperbolic heat conduction equation for the case of a finite medium symmetrically heated on both sides. Int. Commun. Heat Mass Transf. 33 (2006) 61-69
25. Moosaie A. Non-Fourier heat conduction in a finite medium subjected to arbitrary periodic surface disturbance. Int. Commun. Heat Mass Transf. 34 (2007) 996-1002