Non-fourier melting of a semi-infinite solid

Journal of Heat Transfer

Volumn 99, Issue 1, 1977, Pages 25-28

  Sadd, M H ^a   Didlake, J E ^a,b  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES; SOLIDS - THERMAL CONDUCTION;

HEAT TRANSFER;

EID: 0017453832     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.3450649     Document Type: Article

References (16)

1. Muehlbauer, J. C, and Sunderland, J. E., “Heat Conduction With Freezing or Melting,” App. Mech. Rev., Vol. 18,1965, p. 951.
2. Stefan, J., “Uber die Theorie der Eisbildung, insbesondere fiber die Eisbildung in Polarmaere,” Annalen der Physik und Chemie, Vol. 42, 1891, p. 269.
3. Carslaw, H. S., and Jaeger, J. C, Conduction of Heat in Solids, Oxford University Press, London, 1947, p. 71.
4. Coleman, B. D., and Mizel, V. J., “Thermodynamics and Departures From Fourier’s Law of Heat Conduction,” Arch. Rat. Mech. Anal., Vol. 13,1963, p. 245.
5. Gurtin, M. E., and Pipkin, A. C, “A General Theory of Heat Conduction With Finite Wave Speeds,” Arch. Rat. Mech. Anal, Vol. 31,1968, p. 113.
6. Cattaneo, C, “On the Conduction of Heat,” Atti del Seminario Mat. Fis. Univ. Modena, Vol. 3,1948, p. 3.
7. Cattaneo, C, “A Form of Heat Conduction Equation Which Eliminates the Paradox of Instantaneous Propagation,” Compt. Rend., Vol. 247,1958, p. 431.
8. Vemotte, P., “Paradoxes in the Continuous Theory of the Heat Equation,” Compt. Rend., Vol. 246,1958, p. 3154.
9. Vernotte, P., “The True Heat Equation,” Compt. Rend., Vol. 247,1958, p. 2103.
10. Baumeister, K. J., and Hamill, T. D., “Hyperbolic Heat-Conduction Equation-A Solution for the Semi-Infinite Body Problem,” JOURNAL OF HEAT TRANSFER, TRANS. ASME, Series C, Vol. 91,1969, p. 543.
11. Baumeister, K. J., and Hamill, T. D., “Hyperbolic Heat-Conduction Equation-A Solution for the Semi-Infinite Body Problem,” JOURNAL OF HEAT TRANSFER, TRANS. ASME, Series C, Vol. 93,1971, p. 126.
12. Chan, S. H., Low, J. D., and Mueller, W. K., “Hyperbolic Heat Conduction in Catalytic Supported Crystallites,” AIChE Journal, Vol. 17, 1971, p. 1499.
13. Chester, M., “Second Sound in Solids,” Phys. Rev., Vol. 131, 1963, p. 2013.
14. Maurer, M. J., and Thompson, H. A., “Non-Fourier Effects at High Heat Flux,” JOURNAL OF HEAT TRANSFER, TRANS. ASME, Series C, Vol. 95, 1973, p. 284.
15. Didlake, J. E., “Non-Fourier Melting of a Semi-Infinite Solid,” MS thesis, Mississippi State University, Dec. 1975.
16. Brazel, J. P., and Nolan, E. J., “Non-Fourier Effects in the Transmission of Heat,” Proceedings 6th Conference Thermal Conductivity, Dayton, Ohio, Oct., 1966, p. 238.