Soviet Powder Metallurgy and Metal Ceramics

, Volume 17, Issue 9, pp 710–714 | Cite as

Diffusion in spherical particles with moving interfaces

  • Yu. D. Klebanov
  • R. G. Nersisyan
Test Methods and Properties of Materials


  1. 1.

    An examination is made of the problem on single-component diffusion in a spherical particle with a moving interface.

  2. 2.

    Analytical formulas have been obtained expressing (to a first approximation) the laws of interface motion and diffusant concentration distribution.



Spherical Particle Concentration Distribution Analytical Formula Interface Motion Diffusant Concentration 
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Literature cited

  1. 1.
    G. A. Grinberg, “One possible approach to solving problems in the theory of heat conduction, diffusion, wave, and other, similar processes in the presence of moving boundaries and related applications,” Prikl. Mat. Mekh.,31, No. 2, 193–202 (1967).Google Scholar
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    I. P. Vyrodov, “Problem on diffusion with a moving boundary,” Dokl. Akad. Nauk SSSR,147, No. 1, 68–70 (1962).Google Scholar
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    A. B. Taylor, “The mathematical formulation of the Stefan problem,” in: Moving Boundary Problems in Heat Flow and Diffusion, Clarendon Press, Oxford (1975).Google Scholar
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    I. P. Garkusha and B, Ya. Lyubov, “Calculation of the rate of growth of a spherical center of a new phase limited by diffusion through an intermediate region,” Fiz. Met. Metalloved.,13, No., 2, 161–165 (1962).Google Scholar
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    K. G. Valeev and O. A. Zhautykov, Infinite Systems of Differential Equations [in Russian], Nauka, Alma-Ata, Kaz. SSR (1974), Chap. 9.Google Scholar
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    S. G. Mikhlin and Kh. L. Smolitskii, Approximate Methods of Solving Differential and Integral Equations [in Russian], Nauka, Moscow (1965).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • Yu. D. Klebanov
    • 1
  • R. G. Nersisyan
    • 1
  1. 1.All-Union Scientific-Research, Planning, and Design Institute of Metallurgical Machine ConstructionUSSR

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