Abstract
The deposition of aerosol nanoparticles on model fibrous filters of different porosity at small Reynolds numbers was considered. The efficiency of particle deposition on a fiber was determined by the numerical solution of the convective diffusion equation in the ordered systems of parallel fibers located perpendicularly to a flow. The calculation results agree with the known experiments on the model filters over the Peclet number (Pe) range from 0.05 to 1000. It was shown that the Natanson–Stechkina formula for the coefficient of capture obtained in the limit of thin diffusion boundary layer at Pe ≫ 1 is valid within a wide range of the Peclet numbers up to Pe ∼ 1.
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REFERENCES
Davies, C.N., Air Filtration, London: Academic, 1973.
Kirsch, A.A. and Stechkina, I.B., Fundamentals of Aerosol Science, Shaw, D.T., Ed., New York: Wiley, 1978, p. 165.
Brown, R.C., Aerosol Filtration, Oxford: Pergamon, 1993.
Chernyakov, A.L. and Kirsh, A.A., Kolloidn. Zh., 2001, vol. 63, no. 4, p. 554.
Roldughin, V.I., Kirsh, A.A., and Emel'yanenko, A.M., Kolloidn. Zh., 1999, vol. 61, no. 4, p. 530.
Chernyakov, A.L., Doctoral (Phys.-Math.) Dissertation, Moscow: Karpov Research Inst. of Physical Chemistry, 2001.
Thomas, J.W. and Hinchcliffe, L.E., J. Aerosol Sci., 1972, vol. 3, no. 5, p. 387.
Kirsh, A.A. and Fuchs, N.A., Kolloidn. Zh., 1968, vol. 30, no. 6, p. 836.
Kirsch, A.A. and Chechuev, P.V., Aerosol Sci. Technol., 1985, vol. 4, p. 11.
Natanson, G.L., Dokl. Akad. Nauk SSSR, 1957, vol. 112, no. 1, p. 100.
Fuchs, N.A. and Stechkina, I.B., Dokl. Akad. Nauk SSSR, 1962, vol. 147, no. 5, p. 1144.
Levich, V.G., Fiziko-khimicheskaya gidrodinamika (Physicochemical Hydrodynamics), Moscow: GIFML, 1959.
Stechkina, I.B., Dokl. Akad. Nauk SSSR, 1966, vol. 167, no. 6, p. 1327.
Kirsch, A.A. and Stechkina, I.B., Abstracts of Papers, 7 Int. Conf. on Condensation and Ice Nuclei, Prague, Vienna, 1969, p. 284.
Cheng, Y.S. and Yeh, H.C., J. Aerosol Sci., 1980, vol. 11, p. 313.
Cheng, Y.S., Yamada, Y., and Yeh, H.C., Aerosol Sci. Technol., 1990, vol. 12, p. 286.
Golovin, A.M. and Lopatin, V.A., Prikl. Mat. Teor. Fiz., 1968, no. 2, p. 99.
Kirsch, A.A. and Fuchs, N.A., J. Phys. Soc. Jpn., 1967, vol. 22, no. 5, p. 1251.
Kuwabara, S., J. Phys. Soc. Jpn., 1959, vol. 14, no. 4, p. 527.
Samarskii, A.A. and Vabishchevich, P.N., Chislennye metody resheniya zadach konvektsii-diffuzii (Numerical Methods for Solution of Convection-Diffusion Problems), Moscow: Editorial URSS, 1999.
Berkovskii, B.M. and Nogotov, E.F., Raznostnye metody issledovaniya zadach teploobmena (Difference Methods for Investigating Heat Exchange Problems), Minsk: Nauka i Tekhnika, 1976.
Fletcher, C.A.J., Computational Techniques for Fluid Dynamics, Berlin: Springer-Verlag, 1988.
Fedorenko, R.P., Vvedenie v vychislitel'nuyu fiziku (An Introduction to Computational Physics), Moscow: Mosk. Fiz.-Tech. Inst., 1994.
Radhakrishnan, K. and Hindmarsh, A.C., Description and Use of LSODE, the Livermore Solver for Ordinary Differential Equations, LLNL Report UCRL-ID-113855, December 1993.
Miyagi, T., J. Phys. Soc. Jpn., 1958, vol. 13, no. 5, p. 493.
Chernyakov, A.L., Kirsh, A.A., Roldughin, V.I., and Stechkina, I.B., Kolloidn. Zh., 2000, vol. 62, no. 4, p. 547.
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Kirsh, V.A. Deposition of Aerosol Nanoparticles in Fibrous Filters. Colloid Journal 65, 726–732 (2003). https://doi.org/10.1023/B:COLL.0000009115.07793.c9
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DOI: https://doi.org/10.1023/B:COLL.0000009115.07793.c9