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A stochastic model of disperse systems

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

We suggest a model of the structure of a disperse system that reflects the random character of the topology. We evaluate the effect of the stochastic nature of the topology on the effective conductivity. An asymptotic decrease in the conductivity with increase in the scale of the heat and mass transfer is established and explained.

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References

  1. G. N. Dul’nev and Yu. P. Zarichnyak, Thermal Conductivity of Mixtures and Composite Materials [in Russian], Leningrad (1974).

  2. G. N. Dul’nev and V. V. Novikov, Processes of Transfer in Inhomogeneous Media [in Russian], Leningrad (1991).

  3. P. Meakin, P. Ramanlal, L. M. Sander, and R. C. Ball, Phys. Rev. A,34, No. 6, 5091–5103 (1986).

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  4. M. Ya. Gen, I. V. Platé, and N. I. Stoeko, in: Physicochemistry of Ultradisperse Systems [in Russian], Moscow (1987), pp. 151–161.

  5. G. I. Marchuk, Methods of Computational Mathematics [in Russian], Moscow (1989).

  6. A. A. Samarskii, The Theory of Difference Schemes [in Russian], Moscow (1989).

  7. V. S. Pugachev, Probability Theory and Mathematical Statistics [in Russian], Moscow (1979).

  8. Yu. E. Voskoboinikov, N. G. Preobrazhenskii, and A. I. Sedel’nikov, Mathematical Processing of Experiments in Molecular Gas Dynamics [in Russian], Novosibirsk (1984).

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Mavrin, S.V., Sten’gach, A.V. & Potanin, A.A. A stochastic model of disperse systems. J Eng Phys Thermophys 72, 222–228 (1999). https://doi.org/10.1007/BF02699142

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  • DOI: https://doi.org/10.1007/BF02699142

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