Vol. 33, issue 06, article # 10

Abstract:

Stationary motion of a large non-volatile spherical aerosol particle, inside which heat sources operate, under the effect of the gradients of temperature and binary gas mixture component concentrations in the external field is described in the Stokes approximation. The average surface temperature of the particle is assumed to significantly differ from the temperature of the surrounding binary gas mixture. The gas dynamics equations are solved with power temperature dependences of the coefficients of viscosity, thermal conductivity, diffusion, and density of the gaseous medium. Diffusive and thermal sliding motions are taken into account in the boundary conditions. Numerical estimates have shown that the photo-thermal and diffusiophoretic force and velocity significantly depend on the average temperature of the particle surface.

Keywords:

photo- and thermophoresis, diffusiophoresis, heated large non-volatile spherical particles, binary gas mixture

References:

1. Volkovitskij O.A., Sedunov Yu.S., Semenov L.P. Rasprostranenie intensivnogo lazernogo izlucheniya v oblakah. L.: Gidrometeoizdat, 1982. 300 p.
2. Val'dberg A.Yu., Isyanov P.M., Yalamov Yu.I. Teoreticheskie osnovy ohrany atmosfernogo vozduha ot zagryazneniya promyshlennymi aerozolyami. SPb.: Niiogaz-fil'tr, 1993. 235 p.
3. Epstein P.S. Zurtheorie des radiometers // Z. Phys. 1929. Bd. 54, N 7/8. S. 537–539.
4. Galoyan V.S., Yalamov Yu.I. Dinamika kapel' v neodnorodnyh vyazkih sredah. Erevan: Lujs, 1985.
5. Yalamov Yu.I., Obuhov B.A. K teorii diffuzioforeza krupnyh neletuchih aerozol'nyh chastits // ZHurn. teor. fiz. 1972. V. XLII, N 5. P. 1064–1068.
6. Ehrenhaft F. Die photophorese //Ann. Phys. 1918. Bd. 55. S. 81–132.
7. Beresnev S.A., Kovalev F.D., Kochneva L.B., Runkov V.A., Suetin P.E., Cheremisin A.A. O vozmozhnosti fotoforeticheskoj levitatsii chastits v stratosfere // Optika atmosf. i okeana. 2003. V. 16, N 1. P. 52–57.
8. Malaj N.V., Shchukin E.R., Stukalov A.A., Ryazanov K.S. Gravitatsionnoe dvizhenie ravnomerno nagretoj tverdoj chastitsy v gazoobraznoj srede // PMTF. 2008. N 1. P. 74–80.
9. Malaj N.V., Limanskaya A.V., Shchukin E.R. Termoforeticheskoe dvizhenie nagretyh krupnyh aerozol'nyh chastits sfericheskoj formy // PMTF. 2016. V. 57, N 2(336). P. 164–171.
10. Malaj N.V., Limanskaya A.V., Shchukin E.R., Stukalov A.A. Fotoforez nagretyh umerenno krupnyh aerozol'nyh chastits sfericheskoj formy // Optika atmosf. i okeana. 2012. V. 25, N 4. P. 335–343; Malai N.V., Limanskaya A.V., Shchukin E.R., Stukalov A.A. Photophoresis of heated moderately large spherical aerosol particles // Atmos. Ocean. Opt. 2012. V. 25, N 5. P. 355–363.
11. Chyi-Yeou Soong, Wen-Ken Li, Chung-Ho, Pei-Yuan Tzeng. Effekt of thermal stress slip on microparticle photophoresis in gaseous media // Opt. Lett. 2010. V. 35, N 5. P. 625–627.
12. Cheremisin A.A., Kushnarenko A.V. Photophoretic interaction of aerosol particles and its effect on coagulation in rarefied gas medium // J. Aerosol Sci. 2013. V. 62. P. 26–39.
13. Reineck P., Wienken C.J., Braun D. Thermophoresis of single stranded DNA // Electrophoresis. 2010. V. 31(2). P. 279–286.
14. Vargaftik N.B. Spravochnik po teplofizicheskim svojstvam gazov i zhidkostej. M.: Nauka, 1972. 720 p.
15. Landau L.D., Lifshits E.M. Mekhanika sploshnyh sred. M.: TTL, 1954.
16. Yalamov Yu.I., Yushkanov A.A., Savkov S.A. O diffuzioforeze umerenno krupnyh neletuchih aerozol'nyh chastits // Dokl. AN. 1988. V. 301, N 5. P. 1111–1114.
17. Vasil'eva A.B. Asimptoticheskie metody v teorii singulyarnyh vozmushchenij. M.: Vyssh. shkola, 1990. 208 p.
18. Kamke E. Spravochnik po obyknovennym differentsial'nym uravneniyam. M.: Lan', 2003. 576 p.
19. Babij V.I., Ivanova N.P. Aerodinamicheskoe soprotivlenie chastitsy v neizotermicheskih usloviyah // Teploenergetika. 1965. N 9. P. 19–23.