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  • The multiphase flow, where reaction-transport processes are limited by diffusion, is involved in many industrially important chemical processes. Microreactors based on multiphase flow have emerged in the last few years. More recently, the attention focuses on immiscible liquid-liquid systems at microscale, where intensification of reactions is achieved by segmentation of the fluids. Vortex flow patterns within the fluid segments enhance mixing and improve mass transfer across the interface. Here we present a mathematical model of a representative part of the microfluidic channel with two liquid phases. In case that the reaction is not accompanied with a substantial change of the volume of liquid phases, the problem can be split into a hydrodynamic part and a reaction-transport part. Mathematical description of the hydrodynamic problem is based on the Navier-Stokes equation or the Stokes equation and the continuity equation for each liquid phase together with relevant boundary conditions. The periodic boundary conditions can be applied at the inlet and outlet boundaries and moving microchannel walls are considered. The obtained velocity and pressure fields enable to study mixing processes inside droplets.
  • The multiphase flow, where reaction-transport processes are limited by diffusion, is involved in many industrially important chemical processes. Microreactors based on multiphase flow have emerged in the last few years. More recently, the attention focuses on immiscible liquid-liquid systems at microscale, where intensification of reactions is achieved by segmentation of the fluids. Vortex flow patterns within the fluid segments enhance mixing and improve mass transfer across the interface. Here we present a mathematical model of a representative part of the microfluidic channel with two liquid phases. In case that the reaction is not accompanied with a substantial change of the volume of liquid phases, the problem can be split into a hydrodynamic part and a reaction-transport part. Mathematical description of the hydrodynamic problem is based on the Navier-Stokes equation or the Stokes equation and the continuity equation for each liquid phase together with relevant boundary conditions. The periodic boundary conditions can be applied at the inlet and outlet boundaries and moving microchannel walls are considered. The obtained velocity and pressure fields enable to study mixing processes inside droplets. (en)
Title
  • Mathematical modeling of segmented flow in microchannels
  • Mathematical modeling of segmented flow in microchannels (en)
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  • Mathematical modeling of segmented flow in microchannels
  • Mathematical modeling of segmented flow in microchannels (en)
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  • RIV/60461373:22340/12:43893658!RIV13-MSM-22340___
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  • 148727
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  • RIV/60461373:22340/12:43893658
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  • immiscible liquids; microchannel; microreactor; segmented flow; mathematical model (en)
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  • [5C8E26AD0404]
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  • Tatranské Matliare
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  • Bratislava
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  • 39th International Conference of Slovak Society of Chemical Engineering
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  • Nebyla, Marek
  • Přibyl, Michal
  • Červenka, Petr
  • Hrdlička, Jiří
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  • Slovak Society of Chemical Engineering
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  • 978-80-89475-04-9
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  • 22340
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