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Use of classical stefan problem for initializing solution in the numerical prediction of freezing

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Abstract

The exact solution of the classical Stefan problem is examined from the point of view of using it as an “initial solution” in numerical solutions of appropriate problems.

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Literature cited

  1. L. I. Rubinshtein, Stefan's Problem [in Russian], Zvaigzne, Riga (1967).

    Google Scholar 

  2. H. S. Carslaw and J. C. Jager, Conduction of Heat in Solids, Oxford Univ. Press (1959).

  3. A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967), pp. 421–431.

    Google Scholar 

  4. N. I. Nikitenko, Investigation of Heat and Mass Transfer Processes Using the Grid Method [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  5. A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  6. L. A. Kozdoba, Methods for Solving Nonlinear Heat Conduction Problems [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  7. W. S. Dorn and D. D. McCracken (eds.), Numerical Methods with FORTRAN IV Case Studies, Wiley (1972).

  8. L. M. Milne-Thompson and L. J. Komri, Four-Digit Mathematical Tables [Russian translation], Nauka, Moscow (1964), p. 211.

    Google Scholar 

  9. V. M. Gorislavets and V. A. Mitrokhin, Package of Programs for Calculating Congealing of Petroleum Products Accompanying Pumping Stoppages [in Russian], Ukrainian Republican Fund of Algorithms and Programs (UkrRFAP), Kiev (1981), Reg. No. 5783.

    Google Scholar 

  10. V. A. Kudryavtsev et al., Foundations of Prediction of Freezing in Engineering and Geological Studies [in Russian], Moscow State Univ. (1974).

  11. V. G. Melamed, Heat and Mass Transfer in Rocks Accompanying Phase Transitions [in Russian], Nauka, Moscow (1980).

    Google Scholar 

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 43, No. 5, pp. 847–850, November, 1982.

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Gorislavets, V.M., Mitrokhin, V.A. Use of classical stefan problem for initializing solution in the numerical prediction of freezing. Journal of Engineering Physics 43, 1304–1308 (1982). https://doi.org/10.1007/BF00826560

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  • DOI: https://doi.org/10.1007/BF00826560

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