Hyperbolic propagation of an axisymmetric thermal signal in an infinite solid medium

International Journal of Heat and Mass Transfer

Volumn 39, Issue 15, 1996, Pages 3261-3271

  Barletta, A ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT CONDUCTION; HEAT FLUX; NUMERICAL METHODS; RELAXATION PROCESSES; SOLIDS; SURFACES; TEMPERATURE; WAVE TRANSMISSION;

HYPERBOLIC HEAT CONDUCTION EQUATION; INFINITE SOLID MEDIUM; PARABOLIC HEAT CONDUCTION; THERMAL RELAXATION TIME; THERMAL WAVE PROPAGATION;

HEAT TRANSFER;

EID: 0030269277     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/0017-9310(95)00391-6     Document Type: Article

References (18)

1. J. C. Maxwell, On the dynamical theory of gases, Phil. Trans. R. Soc. Lond. 157, 49-88 (1867).
2. D. Jou, J. Casas-Vázquez and G. Lebon, Extended Irreversible Thermodynamics, Chapter 6. Springer, Berlin (1993).
3. M. N. Özisik and D. Y. Tzou, On the wave theory in heat conduction, ASME J. Heat Transfer 116, 526-535 (1994).
4. H. E. Jackson and C. T. Walker, Thermal conductivity, second sound and phonon-phonon interactions in NaF, Phys. Rev. B 3, 1428-1439 (1971).
5. V. Narayanamurti and R. C. Dynes, Observation of second sound in bismuth. Phys. Rev. Lett. 28, 1461-1465 (1972).
6. W. Kaminski, Hyperbolic heat conduction equation for materials with a nonhomogeneous inner structure, ASME J. Heat Transfer 112, 555-560 (1990).
7. K. J. Baumeister and T. D. Hamill, Hyperbolic heat-conduction equation - A solution for the semi-infinite body problem, ASME J. Heat Transfer 91, 543-548 (1969).
8. B. Vick and M. N. Özisik, Growth and decay of a thermal pulse predicted by the hyperbolic heat conduction equation, ASME J. Heat Transfer 105, 902-907 (1983).
9. D. E. Glass, M. N. Özisik and B. Vick, Non-Fourier effects on transient temperature resulting from periodic on-off heat flux, Int. J. Heat Mass Transfer 30, 1623-1631 (1987).
10. H. R. B. Orlande and M. N. Özisik, Simultaneous estimation of thermal diffusivity and relaxation time with a hyperbolic heat conduction model, Proceedings of the 10th International Heat Transfer Conference, Vol. 6, pp. 403-408. Taylor & Francis, Bristol. PA (1994).
11. M. N. Özisik and B. Vick, Propagation and reflection of thermal waves in a finite medium, Int. J. Heat Mass Transfer 27, 1845-1854 (1984).
12. J. I. Frankel, B. Vick and M. N. Özisik, Flux formulation of hyperbolic heat conduction, J. Appl. Phys. 58, 3340 3345 (1985).
13. L. G. Hector, W.-S. Kim and M. N. Özisik, Propagation and reflection of thermal waves in a finite medium due to axisymmetric surface sources, Int. J. Heat Mass Transfer 35, 897-912 (1992).
14. M. R. Spiegel, Mathematical Handbook, Chapter 24. McGraw-Hill, New York (1968).
15. R. V. Churchill, Operational Mathematics (2nd Edn). Chapters 1, 2, 5 and 6. McGraw-Hill, New York (1958).
16. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids (2nd Edn), pp. 334-339. Clarendon Press, Oxford (1959).
17. G. N. Watson. A Treatise on the Theory of Bessel Functions (2nd Edn), pp. 511-513. Cambridge University Press, Cambridge, U.K. (1952).
18. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (4th Edn), pp. 951, 952 and 969, Academic Press, New York (1980).