Abstract
In this work we investigated the heat transfer in the system of two disperse particles. It was received the solution of the stationary Maxwell’s equatons for the system of two spherical absorbent particles within the framework of Mie theory. On this basis it was found the expressions for the heat sources and the solution of the heat transfer equation for these sources.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
P.K. Aravind, A. Nitzan. Interaction between electromagnetic resonances, Surf. Sci., v. 110, 189–204 (1981).
R. Ruppin. Optical absorption of two spheres, J. Of Phys. Soc. of Japan, v. 58, 14461451 (1989)
P.A. Wyatt. Scattering of electromagnetic plane waves from inhomogeneous spherically symmetric objects. Phys. Rew, v. 127, 1837–1843 (1962).
A.Bott, W.Zdunkowski. Electromagnetic energy within dielectric spheres, J. Opt. Soc.Am. A., v. 4, 1361–1365 (1987).
A.P. Prishivalko, Optical and heat fields inside radiation scattering particles ( Nauka i technica, Minsk, 1983 ) (in Russian).
N.N. Belov. Distribution of radiation field inside spherical particle, Reports of RAS, v.292, 1360 —1363 (1987) (in Russian).
E.A. Ivanov. Scattering of electromagnetic plane wave by an ensemble of spheres, Dif. Uravnen., v. 2, 1285–1297 (1969) (in Russian).
K.A. Fuller, J.W. Kattawar. Consumate solution to the problem of classical electromagnetic scattering by an ensemble of spheres. 1.: Linear chains, Opt. Letters, v. 13, 90–92 (1988).
K.A. Fuller, J.W. Kattawar. Consumate solution to the problem of classical electromagnetic scattering by an ensemble of spheres. 2.: Clusters of arbitrary configuration, Opt. Letters, v. 13, 1063–1065 (1988).
B.U. Felderhof, R.B. Jones. Addition theorems for spherical wave solutions of the vector Helmholtz equation, J. Math. Phys., v. 28, 836–839 (1987).
Yu.A. Yeremin, N.V. Orlov, V.I. Rozenberg. Analysis of wave scattering by an ensemble of particles, Optica i spectroskopiya, v.75, 115 —122 (1993) (in Russian).
I.V.Krivenko. Calculation of interaction of electromagnetic radiation with spherical absorbent particles, Mathematical methods in chemistry, 137–144 (Tver State University, 1994 ) (in Russian).
N. I. Gamayunov, I.V. Krivenko, L.A. Uvarova, Yu.Z. Bondarev. Peculiarities of electromagnetic radiation transport in aerosol systems “particle — continuum medium — particle”, Proceedings of International Aerosol Symposium IAS-2, v.1, 27 (Moscow, 1995 ).
M. Born and E. Wolf, Principles of Optics ( Pergamon Press, New York., 1959 ).
N.Ya. Vilenkin, 1956, The special functions and theory of the representation of groups, Science, Moscow, 588 p.
V.I. Rozenberg„ Scattering and relaxation of the electromagnetic radiation by atmospheric particles ( Gidrometizdat, Leningrad, 1972 ).
N.I. Gamayunov, I.V. Krivenko, L.A. Uvarova, Yu.Z. Bondarev. The peculiarities of the spreading of electromagnetic radiation and initiated by it heat transfer in the system aerosol particles - surrounding medium, Journal of Physical Chemistry, v. 71(12), 2270 — 2274 (1997).
A.P. Prishivalko, L.G.Astaf eva. Distribution of energy inside radiation scattering particles, Preprint (Institute of Physics, Minsk, 1974) (in Russian).
N.N.Belov. Structure of optical field inside spheres and heat explosion of particles, Fizika goreniya i vzryva, v.4, 44–48 (1987) (in Russian).
A.V. Lykov, Theory of heat transfer (Vysshaya Shkola, Moscow, 1967) in Russian.).
E.R. Shchukin, N.V. Malay. The photophoretical and thermodiffusiophoretical motion of aerosol particles, Engineering - Physical Journal, v.. 54 (4), 628 — 634 (1988) (in Russian).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Krivenko, I.V., Klinger, A.V., Uvarova, L.A. (2001). Two Disperse Particles in the Field of the Electromagnetic Radiation. In: Uvarova, L.A., Latyshev, A.V. (eds) Mathematical Modeling. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3397-6_23
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3397-6_23
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3371-3
Online ISBN: 978-1-4757-3397-6
eBook Packages: Springer Book Archive