Abstract
The finite-element method has been employed to calculate the photophoresis velocity of solid aerosol particles, the sizes of which are much larger than the mean free path of molecules in a gas. The thermal electromagnetic radiation from the particle surface and the temperature dependences of the density, viscosity, and thermal conductivity of the gaseous medium and particle material have been taken into account. The photophoresis velocity has been numerically calculated for a number of axially symmetric particles moving along their rotation axes. Cylindrical particles, particles having a shape resulting from rhomb rotation around one of its diagonals, and spheroidal particles have been considered.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
Ehrenhaft, F., Ann. Phys. (New York), 1918, vol. 55, p. 81.
Kutukov, V.B., Shchukin, E.R., and Yalamov, Yu.I., Zh. Tekh. Fiz., 1976, vol. 46, p. 626.
Reed, L.D., J. Aerosol Sci., 1977, vol. 8, p. 123.
Arnold, S. and Lewittes, M., J. Appl. Phys., 1982, vol. 53, p. 5314.
Yalamov, Yu.I. and Khasanov, A.S., Zh. Tekh. Fiz., 1998, vol. 68, no. 4, p. 1.
Keh, H.J. and Tu, H.J., Colloids Surf. A, 2001, vol. 176, no. 2, p. 213.
Malai, N.V., Mironova, N.N., and Shchukin, E.P., J. Eng. Phys. Thermophys., 2008, vol. 81, p. 989.
Malai, N.V., Limanskaya, A.V., Shchukin, E.R., and Stukalov, A.A., Zh. Tekh. Fiz., 2012, vol. 82, no. 10, p. 42.
Horvath, H., KONA Powder Part. J., 2014, vol. 31, p. 181.
Ou, C.L. and Keh, H.J., J. Colloid Interface Sci., 2005, vol. 282, p. 69.
Malay, N.V., Mironova, N.N., and Shchukin, E.R., Univ. J. Phys. Appl., 2014, vol. 8, p. 251.
Pleskanev, A.A., Cand. Sci. (Phys.-Math.) Dissertation, Belgorod: Belgorod State Univ., 2006.
Malai, N.V., Limanskaya, A.V., Shchukin, E.R., and Stukalov, A.A., Opt. Atmos. Okeana, 2012, vol. 25, p. 335.
Loesche, C. and Husmann, T., J. Aerosol Sci., 2016, vol. 102, p. 55.
Happel, J. and Brenner, H., Low Reynolds Number Hydrodynamics, Leiden: Noordhoff, 1965.
Landau, L.D. and Lifshitz, E.M., Fluid Mechnics, Oxford: Pergamon Press, 1987.
Samarskii, A.A. and Vabishchevich, P.N., Vychislitel’naya teploperedacha (Computing Heat Transfer), Moscow: Editorial URSS, 2003.
Brock, J.R., J. Colloid Sci., 1962, vol. 17, p. 768.
Poddoskin, A.B., Yushkanov, A.A., and Yalamov, Yu.I., Zh. Tekh. Fiz., 1982, vol. 52, p. 2253.
Veiko, V.P., Libenson, M.N., Chervyakov, G.G., and Yakovlev, E.B., Vzaimodeistvie lazernogo izlucheniya s veshchestvom. Silovaya optika (Laser Radiation Interaction with Matter. Power Optics), Moscow: FIZMATLIT, 2008.
Klimkov, Yu.M., Maiorov, V.S., and Khoroshev, M.V., Vzaimodeistvie lazernogo izlucheniya s veshchestvom: uchebnoe posobie (Laser Radiation Interaction with Matter: A Manuel), Moscow: MIIGAiK, 2014.
Hecht, F., J. Numer. Math., 2012, vol. 20, p. 251.
Girault, V. and Wheeler, M.F., in Partial Differential Equations. Modeling and Numerical Simulation, Glowinski, R. and Neittaanmäki, P., Eds., Berlin: Springer, 2008, p. 3.
Carnes, B.R. and Copps, K.D., Thermal Contact Algorithms in SIERRA Mechanics, Albuquerque: Sandia National Laboratories, 2008.
Reddy, J.N. and Gartling, D.K., The Finite-Element method in Heat Transfer and Fluid Dynamics, Boca Raton: CRC, 2010.
Glowinski, R., Numerical Methods for Fluids. Part 3, Amsterdam: Elsevier, 2003, vol. 9.
Zienkiewicz, O.C., Taylor, R.L., and Nithiarasu, P., The Finite-Element Method for Fluid Dynamics, Oxford: Butterworth-Heinemann, 2014, p. 7.
Lucquin, B. and Pironneau, O., Introduction to Scientific Computing, Chichester: Wiley, 1998.
Logg, A., Mardal, K.A., and Wells, G., Automated Solution of Differential Equations by the Finite-Element Method, Berlin: Springer Science & Business Media, 2012.
Grashchenkov, S.I., Colloid J., 2017, vol. 79, p. 35.
Vargaftik, N.B., Filippov, L.P., Tarzimanov, A.A., and Totskii, E.E., Spravochnik po teploprovodnosti zhidkostei i gazov (Handbook on Thermal Conductivity of Liquid and Gases), Moscow: Energoatomizdat, 1990.
Rabinovich, G.G., Ryabykh, P.M., Khokhryakov, P.A., Molokanov, Yu.K., and Sudakov, B.N., Raschety osnovnykh protsessov i apparatov neftepererabotki (Computing of the Basic Processes and Apparata of Oil Refining), Moscow: Khimiya, 1979.
Vargaftik, N.B., Spravochnik po teplofizicheskim svoistvam gazov i zhidkostei (Handbook on Thermophysical Properties of Gases and Liquids), Moscow: Nauka, 1972.
Zinov’ev, V.E., Teplofizicheskie svoistva metallov pri vysokikh temperaturakh. Spravochnik (Thermophysical Properties of Metals at High Temperatures), Moscow: Metallurgiya, 1989.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.I. Grashchenkov, 2017, published in Kolloidnyi Zhurnal, 2017, Vol. 79, No. 5, pp. 553–561.
Rights and permissions
About this article
Cite this article
Grashchenkov, S.I. The use of the finite-element method for calculating the photophoresis velocity of large aerosol particles. Colloid J 79, 596–604 (2017). https://doi.org/10.1134/S1061933X17050076
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1061933X17050076