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  • This contribution presents the numerical solution of the one-dimensional stochastic differential equation with a diffusion coefficient which is a function of the spatial coordinate, as a model of a fluid batch system stirred by a rotating mechanical impeller. It is demonstrated that neither the Ito nor the Stratonovich methods of solution, which are widely used to solve equations of this kind, lead to a uniform distribution of concentration of the blended species component at steady-state. A method of solution is suggested, with the aid of the so-called transport integral, which converges to the uniform steady-state distribution, consistent with the physical conception of the course of the mixing process.
  • This contribution presents the numerical solution of the one-dimensional stochastic differential equation with a diffusion coefficient which is a function of the spatial coordinate, as a model of a fluid batch system stirred by a rotating mechanical impeller. It is demonstrated that neither the Ito nor the Stratonovich methods of solution, which are widely used to solve equations of this kind, lead to a uniform distribution of concentration of the blended species component at steady-state. A method of solution is suggested, with the aid of the so-called transport integral, which converges to the uniform steady-state distribution, consistent with the physical conception of the course of the mixing process. (en)
  • V práci je prezentováno řešení jedno-rozměrného disperzního modelu pro různé vsádkové míchané systémy. Řešení je na bázi stochastického modelování pomocí Stratonovičovy metody. (cs)
Title
  • Stochastic modeling of a fluid batch mixed system with variable dispersion coefficient
  • Stochastické modelování vsádkových systémů s proměnným disperzním koeficientem (cs)
  • Stochastic modeling of a fluid batch mixed system with variable dispersion coefficient (en)
skos:prefLabel
  • Stochastic modeling of a fluid batch mixed system with variable dispersion coefficient
  • Stochastické modelování vsádkových systémů s proměnným disperzním koeficientem (cs)
  • Stochastic modeling of a fluid batch mixed system with variable dispersion coefficient (en)
skos:notation
  • RIV/60461373:22340/06:00016843!RIV07-MSM-22340___
http://linked.open.../vavai/riv/strany
  • 3260-3267
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GD104/03/H141), Z(MSM6046137306)
http://linked.open...iv/cisloPeriodika
  • 10
http://linked.open...vai/riv/dodaniDat
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  • 501654
http://linked.open...ai/riv/idVysledku
  • RIV/60461373:22340/06:00016843
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  • Batch system; Dispersion model; Diffusion; Stochastic modeling; Homogenization; Mixing process (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [4CDF0D9AF5F1]
http://linked.open...i/riv/nazevZdroje
  • Chemical Engineering Science
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http://linked.open...vavai/riv/projekt
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http://linked.open...v/svazekPeriodika
  • 61
http://linked.open...iv/tvurceVysledku
  • Jahoda, Milan
  • Kudrna, Vladimír
  • Machoň, Václav
  • Siyakatshana, Njabulo
http://linked.open...n/vavai/riv/zamer
issn
  • 0009-2509
number of pages
http://localhost/t...ganizacniJednotka
  • 22340
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