This article is cited in 4 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

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.

UDC: 517.958:536.2

MSC: Primary 80A22; Secondary 76R10, 65M80

Original article submitted 20/III/2013
revision submitted – 27/VI/2013

DOI: 10.14498/vsgtu1217

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