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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 3(32), Pages 98–109
DOI: https://doi.org/10.14498/vsgtu1217 (Mi vsgtu1217) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Modeling

Mathematical modelling of mass-transfer under the evaporation of multicomponent liquids

A. Yu. Shuplyak, S. P. Shkaruppa, A. M. Shterenberg

Samara State Technical University, Samara, 443100, Russia
Full-text PDF (703 kB) Citations (3)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1217
Abstract: The mathematical model of evaporation of multicomponent liquids is developed for open systems with consideration of mass-transfer substances in a liquid phase. Feature of the given model is the mathematical description of one-dimensional evaporation of the multicomponent liquid mixes containing poorly volatile solvent and $n$ of diluted substances. Exact analytical solution of the boundary value problem based on Green's functions method is received by reduction of the differential equations system with moving boundary of the $n$ diluted substances to the $n$ differential equations with fixed boundary.
Keywords: multicomponent liquid, concentration, diffusion, evaporation, mathematical model, Green's functions method, Stefan problem.
Original article submitted 20/III/2013
revision submitted – 27/VI/2013
Bibliographic databases:
Document Type: Article
UDC: 517.958:536.2
MSC: Primary 80A22; Secondary 76R10, 65M80
Language: Russian
Citation: A. Yu. Shuplyak, S. P. Shkaruppa, A. M. Shterenberg, “Mathematical modelling of mass-transfer under the evaporation of multicomponent liquids”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(32) (2013), 98–109
Citation in format AMSBIB
\Bibitem{ShuShkSht13}
\by A.~Yu.~Shuplyak, S.~P.~Shkaruppa, A.~M.~Shterenberg
\paper Mathematical modelling of mass-transfer under the evaporation of multicomponent liquids
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 3(32)
\pages 98--109
\mathnet{http://mi.mathnet.ru/vsgtu1217}
\crossref{https://doi.org/10.14498/vsgtu1217}
\zmath{https://zbmath.org/?q=an:06968789}
\elib{https://elibrary.ru/item.asp?id=20710186}
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  • https://www.mathnet.ru/eng/vsgtu/v132/p98
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :417
    References:47
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