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Analysis of diffusional flows

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Abstract

The analysis is conducted within the framework of isotropic isobaric-isothermal diffusion in a two-component, single-phase diffusional region for a nonideal solution with an atomic volume depending on the composition. The analysis is devoted to: a) systematizing the determination of the diffusion coefficients and the expressions for the diffusional fluxes of material resulting from a multiplicity of means of expressing the composition of the system; b) deriving different forms of the diffusion equation form the continuity equation and determining their realms of applicability; c) generalizing the Darken equation for a system with an atomic volume that depends on the composition; d) determining the conditions of compatability of the parallel and “competing” methods of outlining the phenomenological theory of diffusion that exist in the literature.

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Literature cited

  1. L. D. Landau and E. M. Lifschitz, Mechanics of Continuous Media [in Russian], GITTL, Moscow (1944), p. 386.

    Google Scholar 

  2. A. A. Akopyan, Chemical Thermodynamics [in Russian], Vysshaya Shkola, Moscow (1963).

    Google Scholar 

  3. Yu. I. Paskal', Thermodynamics and Kinetics of Phase Transitions [in Russian], Izd. Tomsk. Univer., Tomsk (1977).

    Google Scholar 

  4. K. P. Gurov (ed.), Mutual-Diffusion Processes [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  5. C. Matano, Jpn. J. Phys.,8, 109 (1933).

    Google Scholar 

  6. R. L. Fogel'son, “Change in atomic volumes in heterodiffusion,” in: Structure Physics and the Properties of Solids. Interuniversity Collection [in Russian], Kuibyshev (1976).

  7. J. Cranck, Mathematics of Diffusion, Clarendon Press, Oxford (1956).

    Google Scholar 

  8. R. W. Balluffi, Scta Met., 4 (1962).

  9. V. F. Sauer and V. Freise, Z. Elektrochem.,66, 4 (1962).

    Google Scholar 

  10. A. G. Gue, P. T. De Hoff, and S. B. Smith, Trans. ASM,61, No. 2, 314 (1968).

    Google Scholar 

  11. L. S. Darken, Trans. AIME,175, 184 (1948).

    Google Scholar 

  12. A. G. Gue, Z. Metallkunde,58, No. 3, 164 (1967).

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnyk Zavedenii, Fizika, No. 6, pp. 63–68, June, 1981.

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Borisov, S.S., Paskal', Y.I. Analysis of diffusional flows. Soviet Physics Journal 24, 539–543 (1981). https://doi.org/10.1007/BF00892953

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  • DOI: https://doi.org/10.1007/BF00892953

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