Features of the photophoretic motion of an evaporating droplet in a viscous non-isothermal binary gas medium

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Resumo

A theoretical description of the photophoretic motion in a viscous nonisothermal binary gas mixture of a large evaporating spherical droplet with significant relative temperature differences in its vicinity is carried out in the quasi-stationary approximation for small Reynolds and Pecle numbers. When describing the properties of a gaseous medium, a power-law type of dependence of the coefficients of molecular transport (viscosity, diffusion and thermal conductivity) and density on temperature was taken into account. Numerical estimates have shown the nonlinear nature of the dependence of the photophoretic force and velocity on the average temperature of the droplet surface.

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Sobre autores

N. Malai

Belgorod State National Research University

Autor responsável pela correspondência
Email: malay@bsu.edu.ru
Rússia, Belgorod

P. Sohan

Belgorod State National Research University

Email: sokhanp95@gmail.com
Rússia, Belgorod

Yu. Shostak

Belgorod State National Research University

Email: juliashostak@mail.ru
Rússia, Belgorod

Bibliografia

  1. Yalamov Yu.I., Kutukov V.B., Shchukin E.R. Theory of the photophoretic motion of the large-size volatile aerosol particle // J. Colloid&Interface Sci., 1976, vol. 57(3), pp. 564–571.
  2. Beresnev S.A., Kochneva L.B. The factor of asymmetry of radiation absorption and aerosol photophoresis // Optics Atmosph.&Ocean, 2003, vol. 16, no. 2, pp.134 — 141.
  3. Greene W.M., Spjut R.E., Bar-Ziv E. et al. Photophoresis of irradiated spheres: absorption centers // J. Opt. Soc. Amer. B, 1985, vol. 2, no. 6, pp. 998–1004.
  4. Preining O. Photophoresis //in: Aerosol Science / Ed. by Davis C.N. N.Y.: Acad. Press, 1966. pp. 111–135.
  5. Boren K., Hafman D. Absorption and Scattering of Light by Small Particles. Moscow: Mir, 1986. 384 p. (in Russian)
  6. Volkovitsky O.A., Sedunov Yu.S., Semenov L.P. Propagation of Intense Laser Radiation in Clouds. Leningrad: Hydrometeoizdat, 1982. 312 p. (in Russian)
  7. Ryazanov K.S., Popov I.V., Malai N.V. Calculation of the distribution of absorbed electromagnetic energy inside spherical particles // Svid. about the State Reg. of the Comput. Progr. no. 2010616043 14.09.2010.
  8. Hitoshi W., Hideaki M., Satoshi T., Masayori S. et al. Migration analysis of micro-particles in liquids using microscopically designed external fields // Anal. Sci. Japan Soc. for Anal. Chem., 2004, vol. 20 (3), pp. 423–434.
  9. Cheremisin A.A., Kushnarenko A.V. Photophoretic interaction of aerosol particles and its effect on coagulation in rarefied gas medium // J. Aerosol Sci., 2013, vol. 62, pp. 26–39.
  10. Smith D., Woods C., Seddon A., Hoerber H. Photophoretic separation of single-walled carbon nanotubes: a novel approach to selective chiral sorting // Phys. Chem. Chem. Phys. Roy. Soc. Chem. (RSC), 2014, vol. 16(11), pp. 5221–5228.
  11. Cortes J., Stanczak C., Azadi M., Narula M. et al. Photophoretic levitation: photophoretic levitation of macroscopic nanocardboard plates // Adv. Mater., 2020, vol. 32 (16), pp. 207–227.
  12. Schafer B., Kim J., Vlassak J., Keith D. Towards photophoretically levitating macroscopic sensors in the stratosphere // Appl. Phys., 2022, pp. 1–39.
  13. Malai N.V., Shchukin E.R., Stukalov A.A., Ryazanov K.S. Gravitational motion of a uniformly heated solid particle in a gaseous medium // J. Appl. Mech.&Tech. Phys., 2008, vol. 49, no. 1, pp. 74–80.
  14. Malai N.V., Ryazanov K.S., Shchukin E.R., Stukalov A.A. On the force acting on a heated spherical drop moving in a gaseous medium // J. Appl. Mech.&Tech. Phys., 2011, vol. 52, no. 4, pp. 63 — 71.
  15. Malai N.V., Limanskaya A.V., Shchukin E.R. Thermophoretic motion of heated large aerosol particles of spherical shape // J. Appl. Mech.&Tech. Phys., 2016, vol. 57, no. 2(336), pp. 164–171.
  16. Malai N.V., Limanskaya A.V., Shchukin E.R., Stukalov A.A. Photophoresis of heated large aerosol particles of spherical shape // Tech. Phys., 2012, vol. 82, no. 10, pp. 42–50.
  17. Malai N.V., Limanskaya A.V., Shchukin E.R. Solution of the boundary value problem for the Navier–Stokes equation linearized by velocity in the case of non-isothermal flow around a uniformly heated sphere by a gaseous medium // Diff. Eqns., 2015, vol. 51, no. 10, pp. 1328–1337.
  18. Landau L.D., Lifshits E.M. Vol. VI. Hydrodynamics. Moscow: Fizmatlit, 2003. 736 p. (in Russian)
  19. Bretschneider St. Properties of Gases and Liquids. Engineering Methods of Calculation. Moscow: Chemistry, 1966. 535 p. (in Russian)
  20. Vargaftik N.B. Handbook of Thermophysical Properties of Gases and Liquids. Moscow: Nauka, 1972. 720 p. (in Russian)
  21. Yushkanov A.A., Savkov S.A., Yalamov Yu.I. On the dependence of slip coefficients on the model of intermolecular interaction // J. Engng. Phys.& Thermophys., 1986, vol. 51, no. 4, pp. 686–687.
  22. Yalamov Yu.I., Poddoskin A.B., Yushkanov A.A. On boundary conditions in the flow of inhomogeneously heated gas around a spherical surface of small curvature // Dok I. AN USSR, 1980, vol. 237, no. 2, pp. 1047–1050.
  23. Happel J., Brenner G. Hydrodynamics at Small Reynolds Numbers. Moscow: Mir, 1976. 630 p. (in Russian)
  24. Kamke E. Handbook of Ordinary Differential Equations. Moscow: Lan, 2003. 576 p. (in Russian)
  25. Malai N.V., Shchukin E.R., Limanskaya A.V. Photophoresis of a large volatile spherical droplet at small temperature differences in its vicinity, taking into account thermal diffusion // Sci. Bull. Belgorod State Univ. Math.&Phys., 2009, vol. 17, no. 13(65), pp. 84–99.

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2. Fig. 1. Graphs of the dependence of the functions fph and fphm on the average surface temperature of the TiS particle.

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