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  • In this manuscript a novel way of mathematical modelling of the electrodialysis process, based on a macrohomogeneous approach, is introduced. It enables an industrialscale unit to be described without unrealistic simplifications, thus providing information about the local distribution of various physical quantities inside this apparatus based on the operational parameters studied. The two-dimensional model presented takes into consideration a spatial variation of the effective flow cross-sectional area of the geometry of a real electrodialysis unit. The key feature of this macrohomogeneous model is the anisotropy of individual macrohomogeneous domains described by corresponding balance and transport partial differential equations. A classical Nernst- Planck model is used to describe NaCl transport inside the unit. The proposed model approach is experimentally validated for amediumdegree ofwater desalination (up to 40 %). Bymeans of thismodel the principal consequences of the nonuniform hydrodynamics in the electrodialysis unit are demonstrated. It is shown that non-uniform distribution of diluate in the individual diluate compartments results in (a) a significant decrease in overall process efficiency due to an increase in the value of parasitic current and (b) a concentration of the electric current in a narrow area. The latter aspect, in combination with locally lowered linear velocity of the solution, may lead to an enormous increase in temperature and subsequent deterioration of the membranes. Such a situation is, therefore, highly dangerous fromthe point of view of process reliability.
  • In this manuscript a novel way of mathematical modelling of the electrodialysis process, based on a macrohomogeneous approach, is introduced. It enables an industrialscale unit to be described without unrealistic simplifications, thus providing information about the local distribution of various physical quantities inside this apparatus based on the operational parameters studied. The two-dimensional model presented takes into consideration a spatial variation of the effective flow cross-sectional area of the geometry of a real electrodialysis unit. The key feature of this macrohomogeneous model is the anisotropy of individual macrohomogeneous domains described by corresponding balance and transport partial differential equations. A classical Nernst- Planck model is used to describe NaCl transport inside the unit. The proposed model approach is experimentally validated for amediumdegree ofwater desalination (up to 40 %). Bymeans of thismodel the principal consequences of the nonuniform hydrodynamics in the electrodialysis unit are demonstrated. It is shown that non-uniform distribution of diluate in the individual diluate compartments results in (a) a significant decrease in overall process efficiency due to an increase in the value of parasitic current and (b) a concentration of the electric current in a narrow area. The latter aspect, in combination with locally lowered linear velocity of the solution, may lead to an enormous increase in temperature and subsequent deterioration of the membranes. Such a situation is, therefore, highly dangerous fromthe point of view of process reliability. (en)
Title
  • Macrohomogeneous approach to a two-dimensional mathematical model of an industrial-scale electrodialysis unit
  • Macrohomogeneous approach to a two-dimensional mathematical model of an industrial-scale electrodialysis unit (en)
skos:prefLabel
  • Macrohomogeneous approach to a two-dimensional mathematical model of an industrial-scale electrodialysis unit
  • Macrohomogeneous approach to a two-dimensional mathematical model of an industrial-scale electrodialysis unit (en)
skos:notation
  • RIV/60461373:22310/12:43893745!RIV13-MPO-22310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(FR-TI1/479), S
http://linked.open...iv/cisloPeriodika
  • 9
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 147700
http://linked.open...ai/riv/idVysledku
  • RIV/60461373:22310/12:43893745
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Electrodialysis, Water desalination, Industrial-scale, Macrohomogeneous mathematical model, Plate-and-frame design (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [AD841835FECD]
http://linked.open...i/riv/nazevZdroje
  • Journal of Applied Electrochemistry
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 42
http://linked.open...iv/tvurceVysledku
  • Bouzek, Karel
  • Šnita, Dalimil
  • Tvrzník, David
  • Kodým, Roman
  • Pánek, Petr
http://linked.open...ain/vavai/riv/wos
  • 000308441300003
issn
  • 0021-891X
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10800-012-0457-6
http://localhost/t...ganizacniJednotka
  • 22310
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