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Original Articles

HYPERBOLIC HEAT CONDUCTION WITH RADIATION IN AN ABSORBING AND EMITTING MEDIUM

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Pages 321-333 | Received 21 Nov 1986, Accepted 17 Mar 1987, Published online: 27 Feb 2007

REFERENCES

  • R. Viskanta , Radiation Transfer Interaction with Conduction and Convection and Approximate Methods in Radiation , Heat Transfer 1982, Proc. 7th int. Heat Transfer Conf. , Munich 1982 , vol. 1 , pp. 103 – 121 . Hemisphere , Washington , D.C. , 1982 .
  • Maxwell , Philos. Trans. R. Soc. London , vol. 157 , p. 49 , 1867 .
  • P. Vernotte , Les Paradoxes de la Théorie Continue de l'equation de la Chaleur , C. R. Acad. Sci. , vol. 246 , pp. 3154 – 3155 , 1958 .
  • M. E. Gurtin and A. C. Pipkin , A General Theory of Heat Conduction with Finite Wave Speed, Arch. Rational Mech. Anal. , vol. 31, pp. 113–126, 1968.
  • Y. Taitel , On the Parabolic, Hyperbolic and Discrete Formulation of the Heat Conduction Equation , Int. J. Heat Mass Transfer , vol. 15 , pp. 369 – 371 , 1972 .
  • B. M. Berkovsky and V. G. Bashtovoi , The Finite Velocity of Heat Propagation from the Viewpoint of the Kinetic Theory , Int. J. Heat Mass Transfer , vol. 20 , pp. 621 – 626 , 1977 .
  • M. J. Maurer and H. A. Thompson , Non-Fourier Effects at High Heat Flux , J. Heat Transfer , vol. 95 , pp. 284 – 286 , 1973 .
  • M. N. Özişik and B. Vick , Propagation and Reflection of Thermal Waves in a Finite Medium , Int. J. Heat Mass Transfer , vol. 27 , pp. 1845 – 1854 , 1984 .
  • D. C. Wiggert , Analysis of Early-Time Transient Heat Conduction by Method of Characteristics , J. Heat Transfer , vol. 99 , pp. 35 – 40 , 1977 .
  • G. F. Carey and M. Tsai , Hyperbolic Heat Transfer with Reflection , Numer. Heat Transfer , vol. 5 , pp. 309 – 327 , 1982 .
  • D. E. Glass , M. N. Özişik , D. S. McRae , and B. Vick , On the Numerical Solution of Hyperbolic Heat Conduction , Numer. Heat Transfer , vol. 8 , pp. 497 – 504 , 1985 .
  • D. E. Glass , M. N. Özişik , and B. Vick , Hyperbolic Heat Conduction with Surface Radiation , Int. J. Heat Mass Transfer , vol. 28 , pp. 1823 – 1830 , 1985 .
  • O. N. Shablovskii , Analytic Solutions of Parabolic and Hyperbolic Heat-Transfer Equations for Nonlinear Media , J. Eng. Phys. , vol. 40 , no. 3 , pp. 319 – 324 , 1981 .
  • A. V. Finkel'shtein , Asympototic Behavior of Solutions of the Equation of High Intensity Heat Exchange , J. Eng. Phys. , vol. 46 , no. 4 , pp. 500 – 504 , 1984 .
  • K. J. Baumeister and T. D. Hamill , Hyperbolic Heat Conduction Equation—a Solution for the Semi-infinite Body Problem , J. Heat Transfer , vol. 91 , no. 4 , pp. 543 – 548 , 1969 .
  • T. Kao , Non-Fourier Heat Conduction in Thin Surface Layers , J. Heat Transfer , vol. 99 , no. 4 , pp. 343 – 355 , 1977 .
  • M. N. Özişik Radiative Transfer , Wiley , New York , 1973 .
  • D. A. Anderson , J. C. Tannehill , and R. H. Pletcher Computational Fluid Mechanics and Heat Transfer , Hemisphere , Washington , D.C. , 1984 .
  • G. H. Klopfer and D. S. McRae , Nonlinear Truncation Error Analysis of Finite Difference Schemes for the Euler Equations , AIAA J. , vol. 21 , no. 4 , pp. 487 – 494 , 1983 .
  • G. H. Klopfer and D. S. McRae , The Nonlinear Modified Equation Approach to Analyzing Finite Difference Schemes , AIAA-81-1029, Palo Alto , Calif. , June 1981 .
  • A. McD. Mercer , Some New Finite Difference Schemes for Parabolic Differential Equations , Numer. Heat Transfer , vol. 5 , pp. 199 – 210 , 1982 .
  • J. D. Lawson and J. LI. Morris , The Extrapolation of First Order Methods for Parabolic Partial Differential Equations , SIAM J. Numer. Anal. , vol. 15 , no. 6 , pp. 1212 – 1224 , 1978 .

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