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A poblem of forced diffusion in a region with a moving boundary

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Abstract

A solution is found for a boundary problem of the equation of forced diffusion in a semi-infinite region with a moving boundary, with the dependence of the mass-exchange coefficient taken into account. The solution is obtained in the form of series of the Liebnitz type, which makes it convenient for numerical calculations.

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References

  1. V. I. Likhtman, E. D. Shchukin, and P. A. Rebinder, Physicochemical Mechanics of Metals [in Russian], Izd. AN SSSR, 1962.

  2. G. A. Polozhii, Equations of Mathematical Physics [in Russian], 1964.

  3. V. A. Ditkin and A. P. Prudnikov, Handbook of Operational Calculus [in Russian], 1965.

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Authors and Affiliations

  1. Lenin Moscow State Pedagogical Institute, USSR

    E. M. Kartashov & I. V. Razumovskaya

Authors
  1. E. M. Kartashov
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  2. I. V. Razumovskaya
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Additional information

The authors wish to thank Professor G. M. Bartenev for his interest in this work and discussion of the results.

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Kartashov, E.M., Razumovskaya, I.V. A poblem of forced diffusion in a region with a moving boundary. Soviet Physics Journal 10, 53–57 (1967). https://doi.org/10.1007/BF00819754

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  • DOI: https://doi.org/10.1007/BF00819754

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