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Modeling and Simulation of Convection-Dominated Species Transport in the Vicinity of Rising Bubbles

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Reactive Bubbly Flows

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 128))

Abstract

For multiphase contactors, like bubble column reactors, it is of highest interest to predict how the gas dissolves and reacts in the liquid phase. This mass transfer process strongly depends on convection-dominated, extremely thin species boundary layers forming at the liquid-side of the bubble’s surface. Numerical simulations can play a significant role in understanding and predicting the complex interactions between flow dynamics and species transport, but the direct solution of both phenomena at the same time is currently not possible. This chapter summarizes two approximation approaches for the efficient and accurate simulation of convection-dominated concentration boundary layers. The first approach is a subgrid-scale model which allows to handle boundary layer widths that can be far smaller than the first cell layer at the interface in the computational mesh. Convective fluxes, diffusive fluxes and reaction source terms in the finite volume method are corrected based on non-linear reconstructions of the species boundary layer profiles normal to the interface. The second method is a hybrid simulation approach that solves the two-phase flow problem based on the Volume-of-Fluid method and uses a single-phase solver for species transport simulations. The concentration boundary layer is computed using a highly resolved surface-aligned single phase mesh.

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Notes

  1. 1.

    www.mma.tu-darmstadt.de.

  2. 2.

    www.basilisk.fr.

  3. 3.

    https://andreweiner.github.io/reveal.js/phd_defence.html#/3/2.

References

  1. Levich VG (1962) Physicochemical hydrodynamics. Prentice Hall, Upper Saddle River

    Google Scholar 

  2. Aboulhasanzadeh B, Hosoda S, Tomiyama A, Tryggvason G (2013) A validation of an embedded analytical description approach for the computations of high Schmidt number mass transfer from bubbles in liquids. Chem Eng Sci 101:165–174

    Article  Google Scholar 

  3. Aboulhasanzadeh B, Thomas S, Taeibi-Rahni M, Tryggvason G (2012) Multiscale computations of mass transfer from buoyant bubbles. Chem Eng Sci 75:456–467

    Article  Google Scholar 

  4. Claassen CMY, Islam S, Peters EAJF, Deen NG, Kuipers JAM, Baltussen MW (2020) An improved subgrid scale model for front-tracking based simulations of mass transfer from bubbles. AIChE J 66(4):e16889

    Article  Google Scholar 

  5. Bothe D, Fleckenstein S (2013) A volume-of-fluid based method for mass transfer processes at fluid particles. Chem Eng Sci 101:283–302

    Article  Google Scholar 

  6. Gründing D, Fleckenstein S, Bothe D (2016) A subgrid-scale model for reactive concentration boundary layers for 3D mass transfer simulations with deformable fluid interfaces. Int J Heat Mass Transf 101:476–487

    Article  Google Scholar 

  7. Pesci C, Weiner A, Marschall H, Bothe D (2018) Computational analysis of a single rising bubble influenced by soluble surfactant. J Fluid Mech 856:709–763

    Article  MathSciNet  Google Scholar 

  8. Weiner A (2020) Modelling and simulation of convection-dominated species transport at rising bubbles. PhD thesis, Technical University of Darmstadt, Darmstadt, Germany

    Google Scholar 

  9. Weiner A, Bothe D (2017) Advanced subgrid-scale modeling for convection-dominated species transport at fluid interfaces with application to mass transfer from rising bubbles. J Comput Phys 347(1):261–289

    Article  MathSciNet  Google Scholar 

  10. Weiner A, Hillenbrand D, Marschall H, Bothe D (2019) Data-driven subgrid-scale modeling for convection-dominated concentration boundary layers. Chem Eng Technol 42(7):1349–1356

    Article  Google Scholar 

  11. Weiner A, Timmermann J, Pesci C, Crewe J, Hoffmann M, SchlĂĽter M, Bothe D (2019) Experimental and numerical investigations of reactive species transport around a small rising bubble. Chem Eng Sci X 1:100007

    Google Scholar 

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Acknowledgements

This work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—priority program SPP1740 “Reactive Bubbly Flows” (237189010) for the project BO 1879/13-2 (237189010).

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Correspondence to Dieter Bothe .

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Weiner, A., Bothe, D. (2021). Modeling and Simulation of Convection-Dominated Species Transport in the Vicinity of Rising Bubbles. In: SchlĂĽter, M., Bothe, D., Herres-Pawlis, S., Nieken, U. (eds) Reactive Bubbly Flows. Fluid Mechanics and Its Applications, vol 128. Springer, Cham. https://doi.org/10.1007/978-3-030-72361-3_14

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  • DOI: https://doi.org/10.1007/978-3-030-72361-3_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-72360-6

  • Online ISBN: 978-3-030-72361-3

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