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Matem. Mod., 2010, Volume 22, Number 9, Pages 146–160 (Mi mm3024)  

This article is cited in 1 scientific paper (total in 1 paper)

Simulation of two-component mixture separation by zone electrophoresis

M. S. Elaeva

Southern Federal University

Abstract: Separation of two-component mixture under action of an electric field is investigated. We assume that conductivity is depended on concentration components of mixture. This problem is known as zone electrophoresis. Depending on initial conditions diffusionless approximation of the model is described by the system of equations which can be either hyperbolic or elliptic. For the case of hyperbolicity the system is transformed to Riemann invariants and is analyzed by the method of characteristics. We considered cases when a shock wave interacts with another one or with a rarefaction wave. Solutions for each stage of separation process are obtained.

Keywords: zone electrophoresis, systems of hydrodynamic type, Riemann problem, waves interaction.

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Bibliographic databases:
UDC: 517.958
Received: 30.11.2009

Citation: M. S. Elaeva, “Simulation of two-component mixture separation by zone electrophoresis”, Matem. Mod., 22:9 (2010), 146–160

Citation in format AMSBIB
\Bibitem{Ela10}
\by M.~S.~Elaeva
\paper Simulation of two-component mixture separation by zone electrophoresis
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 9
\pages 146--160
\mathnet{http://mi.mathnet.ru/mm3024}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2767926}


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    This publication is cited in the following articles:
    1. M. S. Elaeva, M. Yu. Zhukov, E. V. Shiryaeva, “Interaction of weak discontinuities and the hodograph method as applied to electric field fractionation of a two-component mixture”, Comput. Math. Math. Phys., 56:8 (2016), 1440–1453  mathnet  crossref  crossref  isi  elib
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