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Solution of a plane, axisymmetric and three-dimensional single-phase stefan problem

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Journal of engineering physics Aims and scope

Abstract

Using a superposition method we construct a solution of the multidimensional problem of the steady-state fusion regime of semibounded solids. The solution of the problem is reduced to a generalized Fredholm integral equation of the first kind. A method is given for solving the integral equation for plane problems by converting to a linear system of algebraic equations.

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Literature cited

  1. L. I. Rubinshtein, The Stefan Problem [in Russian], Zvaizchne, Riga (1967).

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  3. V. G. Melamed, “Reduction of the Stefan problem to a system of ordinary differential equations,” Izv. Akad. Nauk SSSR, Ser. Geofiz (1958).

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  5. E. T. Whittaker and G. N. Watson, Course of Modern Analysis, Cambridge University Press (1940).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 27, No. 2, pp. 341–350, August, 1974.

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Chernyshov, A.D. Solution of a plane, axisymmetric and three-dimensional single-phase stefan problem. Journal of Engineering Physics 27, 1022–1029 (1974). https://doi.org/10.1007/BF00861614

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  • DOI: https://doi.org/10.1007/BF00861614

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