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Effect of motion of the medium on the photophoresis of hot hydrosol particles

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Abstract

The photophoretic motion of a solid spherical particle in a viscous fluid is described theoretically in the Stokes approximation for small Péclet and Reynolds numbers and large temperature differences near the particle. In solving the hydrodynamic equations, an exponential-power law is used for the temperature dependence of the viscosity. The heat transfer equations are solved using the method of matched asymptotic expansions. The possibility of the experimental observation of photophoresis in liquids is discussed.

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References

  1. S. P. Bakanov and V. I. Roldugin, “Two methods of constructing the theory of thermophoresis of coarse aerosol particles,” Kolloid. Zh., 39, No. 6, 1027–1038 (1977).

    Google Scholar 

  2. V. B. Kutukov, E. R. Shchukin, and Yu. I. Yalamov, “Photophoretic motion of a coarse aerosol particle in an optical-radiation field,” Zh. Tekhn. Fiz., 46, No. 4, 626–627 (1976).

    Google Scholar 

  3. A. B. Poddoskin, A. A. Yushkanov, and Yu. I. Yalamov, “Theory of thermophoresis of moderately large aerosol particles”, Zh. Tekhn. Fiz., 52, No. 11, 2253–2261 (1982).

    Google Scholar 

  4. A. Yu. Boris, “Thermophoresis and interaction of uniformly heated spherical particles in a gas,” Prikl. Matem. Mekh., 48, No. 2, 324–327 (1984).

    Google Scholar 

  5. E. R. Shchukin and N. V. Malai, “Photophoretic and thermodiffusiophoretic motion of hot non-volatile aerosol particles,” Inzh. Fiz. Zh., 54, No. 4, 628–635 (1988).

    Google Scholar 

  6. N. V. Malai, “Thermophoresis of a rigid spherical particle in a fluid,” Fluid Dynamics, 38, No. 6, 954–962 (2003).

    Article  MATH  Google Scholar 

  7. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics, Prentice-Hall (1965).

  8. L. D. Landau and E. M. Lifshits, Theoretical Physics. V. 6. Hydromechanics. [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  9. St. Bretshnaider, Properties of Gases and Liquids. Engineering Calculation Methods [in Russian], Khimiya, Moscow (1966).

    Google Scholar 

  10. A. Acrivos and T. D. Taylor, “Heat and mass transfer from single spheres in Stokes flow,” Phys. Fluids, 5, No. 4, 387–394 (1962).

    Article  MATH  MathSciNet  Google Scholar 

  11. M. Van Dyke, Perturbation Methods in Fluid Mechanics, Acad. Press, New York (1964).

    MATH  Google Scholar 

  12. N. V. Malai, E. R. Shchukin, and Yu. I. Yalamov, “Effect of motion of the medium on the thermocapillary force on a hot drop in a viscous fluid in an external temperature gradient field,” Teplofiz. Vys. Temp., 40, No. 1, 114–120 (2002).

    Google Scholar 

  13. C. F. Boren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Wiley Interscience, New York (1983).

    Google Scholar 

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Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 6, 2006, pp. 144–152.

Original Russian Text Copyright © 2006 by Malai.

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Malai, N.V. Effect of motion of the medium on the photophoresis of hot hydrosol particles. Fluid Dyn 41, 984–991 (2006). https://doi.org/10.1007/s10697-006-0113-0

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  • DOI: https://doi.org/10.1007/s10697-006-0113-0

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