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Solution of Grinberg and Chekmareva's first integral equation using an asymptotic series in a small parameter that is present

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Abstract

A method is suggested for constructing the terms in an asymptotic series in a small parameter μ when seeking the position of the phase front y(τ) in the Stefan boundary-value problem of the first kind for a semi-infinite medium that is at the phase transition temperature at the initial moment.

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References

  1. 1.

    G. A. Grinberg and O. M. Chekmareva, Zh. Tekh. Fiz.,40, No. 10, 2028–2031 (1970).

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Additional information

St. Petersburg Mining Institute. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 66, No. 2, pp. 235–237, February, 1994.

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Rikenglaz, L.É. Solution of Grinberg and Chekmareva's first integral equation using an asymptotic series in a small parameter that is present. J Eng Phys Thermophys 66, 212–214 (1994). https://doi.org/10.1007/BF00862724

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Keywords

  • Phase Transition
  • Statistical Physic
  • Transition Temperature
  • Integral Equation
  • Small Parameter