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Solution of the diffusion equation of material in a spherical grain with an arbitrary function of change in adsorbate concentration

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Abstract

A mathematical model of isothermal adsorption in boundary conditions of the third kind, with an arbitrary function expressing the change in adsorbate concentration, is developed. An analytical solution of the problem is presented.

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Literature cited

  1. A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).

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  2. D. P. Timofeev, Adsorption Kinetics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).

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  3. M. B. Sulla, É. M. Sokolov, and V. Yu. Gorb, “Absorption of nitrogen by rocks,” in: Absorption of Inert Gases in Mines [in Russian], Priokskoe Izd., Tula-Donetsk (1969), p. 238.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 41, No. 5, pp. 848–853, November, 1981.

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Grekov, S.P., Kalyusskii, A.E., Rodimova, N.A. et al. Solution of the diffusion equation of material in a spherical grain with an arbitrary function of change in adsorbate concentration. Journal of Engineering Physics 41, 1217–1221 (1981). https://doi.org/10.1007/BF00824921

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  • DOI: https://doi.org/10.1007/BF00824921

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