Mathematical Model for Heat and Mass Transfer in the Systems with the Nonlinear Properties Induced by the Electromagnetic Radiation

Ludmila A. Uvarova
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Ludmila A. Uvarova: Moscow State University of Technology “STANKIN”

A chapter in Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, 1999, pp 121-128 from Springer

Abstract: Abstract The problems of the heat and mass transfer arise from the solution of many physical and technical problems. The spreading of the electromagnetic radiation in real media, always practically absorbed, even if the absorption coefficient is very small, induced the heat and mass transfer and the phase transition under certain conditions. There are the following such problems: the problem of electromagnetic radiation interaction with dispersion systems1, with biosystems2, the problems of the electromagnetic radiation and heat mass transfer spreading in the parallel-sided structures (waveguides)3 and others. The transport processes are nonlinear in general case. Therefore it would be interesting to determine exact solutions describing these king of processes. This work is devoted to the founding and the analysis of such class of solutions.

Keywords: Electromagnetic Radiation; Heat Mass Transfer; Mass Transfer Equation; Cnoidal Wave; Binary Diffusion Coefficient (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-4799-0_9

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DOI: 10.1007/978-1-4615-4799-0_9

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