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Generalization of the theory of thermophoresis for a doublet of solid particles experiencing a temperature step on the surface

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Abstract

Using the linear operator approach, a theory of thermophoresis is constructed for the case of two homogenous solid spherical aerosol particles moving parallel to their center line. Formulas for the Stokes force, force of thermophoresis, and rate of thermophoresis of an aerosol particle with regard to a temperature step on its surface and the effect of the other particle are derived. Approximate engineering formulas are presented.

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References

  1. Yu. I. Yalamov and V. S. Galoyan, Dynamics of Droplets in Inhomogeneous Viscous Media (Luis, Yerevan, 1985) [in Russian].

    Google Scholar 

  2. Yu. I. Yalamov, A. P. Melekhov, and M. N. Gaĭdukov, Dokl. Akad. Nauk SSSR 287, 337 (1986) [Sov. Phys. Dokl. 31, 251 (1986)].

    Google Scholar 

  3. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Prentice-Hall, Englewood Cliffs, 1965; Mir, Moscow, 1976).

    MATH  Google Scholar 

  4. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, 4th ed. (Nauka, Moscow, 1976; Graylock, Rochester, 1957–1961).

    Google Scholar 

  5. N. N. Lebedev, Special Functions and Their Applications (Fizmatgiz, Moscow, 1953; Prentice-Hall, Englewood Cliffs, 1965).

    MATH  Google Scholar 

  6. I. V. Proskuryakov, Collection of Linear Algebraic Problems (Nauka, Moscow, 1970) [in Russian].

    Google Scholar 

  7. A. P. Melekhov, Candidate’s Dissertation (Moscow, 1985).

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Original Russian Text © Yu.I. Yalamov, A.S. Khasanov, 2006, published in Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 76, No. 10, pp. 18–24.

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Yalamov, Y.I., Khasanov, A.S. Generalization of the theory of thermophoresis for a doublet of solid particles experiencing a temperature step on the surface. Tech. Phys. 51, 1269–1275 (2006). https://doi.org/10.1134/S1063784206100033

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  • DOI: https://doi.org/10.1134/S1063784206100033

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