Skip to main content
SpringerLink
Log in

DNS of Mass Transfer in Bi-dispersed Bubble Swarms

  • Conference paper
  • First Online:
Computational Science – ICCS 2022 (ICCS 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13353))

Included in the following conference series:

Abstract

This work presents Direct Numerical Simulation of mass transfer in a bi-dispersed bubble swarm at high Reynolds number, by using a multiple marker level-set method. Transport equations are discretized by the finite-volume method on 3D collocated unstructured meshes. Interface capturing is performed by the unstructured conservative level-set method, whereas the multiple marker approach avoids the so-called numerical coalescence of bubbles. Pressure-velocity coupling is solved by the classical fractional-step projection method. Diffusive terms are discretized by a central difference scheme. Convective term of momentum equation, level-set equations, and mass transfer equation, are discretized by unstructured flux-limiters schemes. This approach improves the numerical stability of the unstructured multiphase solver in bubbly flows with high Reynolds number and high-density ratio. Finally, this numerical model is applied to research the effect of bubble-bubble interactions on the mass transfer in a bi-dispersed bubble swarm.

Néstor Balcázar, as a Professor Serra-Húnter (UPC-LE8027), acknowledges the Catalan Government for the financial support through this programme. The authors acknowledges the financial support of the Ministerio de Economía y Competitividad, Secretaría de Estado de Investigación, Desarrollo e Innovación (MINECO), Spain (PID2020-115837RB-100). Simulations were executed using computing time granted by the RES (IM-2021-3-0013, IM-2021-2-0020, IM-2021-1-0013, IM-2020-2-0002, IM-2019-3-0015) on the supercomputer MareNostrum IV based in Barcelona, Spain.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

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

    Article  Google Scholar 

  2. Alke, A., Bothe, D., Kroeger, M., Warnecke, H.J.: VOF-based simulation of conjugate mass transfer from freely moving fluid particles. In: Mammoli, A.A., Brebbia, C.A. (eds.) Computational Methods in Multiphase Flow V, WIT Transactions on Engineering Sciences, pp. 157–168 (2009)

    Google Scholar 

  3. Balcázar, N., Jofre, L., Lehmkhul, O., Castro, J., Rigola, J.: A finite-volume/level-set method for simulating two-phase flows on unstructured grids. Int. J. Multiphase Flow 64, 55–72 (2014)

    Article  MathSciNet  Google Scholar 

  4. Balcázar, N., Lehmkhul, O., Rigola, J., Oliva, A.: A multiple marker level-set method for simulation of deformable fluid particles. Int. J. Multiphase Flow 74, 125–142 (2015)

    Article  MathSciNet  Google Scholar 

  5. Balcázar, N., Lemhkuhl, O., Jofre, L., Oliva, A.: Level-set simulations of buoyancy-driven motion of single and multiple bubbles. Int. J. Heat Fluid Flow 56, 91–107 (2015)

    Article  Google Scholar 

  6. Balcázar, N., Lehmkhul, O., Jofre, L., Rigola, J., Oliva, A.: A coupled volume-of-fluid/level-set method for simulation of two-phase flows on unstructured meshes. Comput. Fluids 124, 12–29 (2016)

    Article  MathSciNet  Google Scholar 

  7. Balcázar, N., Rigola, J., Castro, J., Oliva, A.: A level-set model for thermocapillary motion of deformable fluid particles. Int. J. Heat Fluid Flow Part B 62, 324–343 (2016)

    Article  Google Scholar 

  8. Balcázar, N., Castro, J., Rigola, J., Oliva, A.: DNS of the wall effect on the motion of bubble swarms. Procedia Comput. Sci. 108, 2008–2017 (2017)

    Article  Google Scholar 

  9. Balcázar, N., Castro, J., Chiva, J., Oliva, A.: DNS of falling droplets in a vertical channel. Int. J. Comput. Methods Exp. Meas. 6(2), 398–410 (2018)

    MATH  Google Scholar 

  10. Balcázar, N., Antepara, O., Rigola, J., Oliva, A.: A level-set model for mass transfer in bubbly flows. Int. J. Heat Mass Transf. 138, 335–356 (2019)

    Article  Google Scholar 

  11. Balcázar, N., Lehmkuhl, O., Castro, J., Oliva, A.: DNS of the rising motion of a swarm of bubbles in a confined vertical channel. In: Grigoriadis, D.G.E., Geurts, B.J., Kuerten, H., Fröhlich, J., Armenio, V. (eds.) Direct and Large-Eddy Simulation X. ES, vol. 24, pp. 125–131. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-63212-4_15

    Chapter  Google Scholar 

  12. Balcázar, N., Antepara, O., Rigola, J., Oliva, A.: DNS of drag-force and reactive mass transfer in gravity-driven bubbly flows. In: García-Villalba, M., Kuerten, H., Salvetti, M.V. (eds.) DLES 2019. ES, vol. 27, pp. 119–125. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-42822-8_16

    Chapter  Google Scholar 

  13. Balcazar, N., Rigola, J., Oliva, A.: Unstructured level-set method for saturated liquid-vapor phase change. In: WCCM-ECCOMAS2020 (2021). https://www.scipedia.com/public/Balcazar_et_al_2021a, https://doi.org/10.23967/wccm-eccomas.2020.352

  14. Balcázar-Arciniega, N., Rigola, J., Oliva, A.: DNS of mass transfer from bubbles rising in a vertical channel. In: Rodrigues, J.M.F., et al. (eds.) ICCS 2019. LNCS, vol. 11539, pp. 596–610. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-22747-0_45

    Chapter  Google Scholar 

  15. Bothe, D., Koebe, M., Wielage, K., Warnecke, H.J.: VOF simulations of mass transfer from single bubbles and bubble chains rising in the aqueous solutions. In: Proceedings of FEDSM03: Fourth ASME-JSME Joint Fluids Engineering Conference, Honolulu, 6–11 July 2003

    Google Scholar 

  16. Bothe, D., Fleckenstein, S.: Modeling and VOF-based numerical simulation of mass transfer processes at fluidic particles. Chem. Eng. Sci. 101, 283–302 (2013)

    Article  Google Scholar 

  17. Brackbill, J.U., Kothe, D.B., Zemach, C.: A continuum method for modeling surface tension. J. Comput. Phys. 100, 335–354 (1992)

    Article  MathSciNet  Google Scholar 

  18. Clift, R., Grace, J.R., Weber, M.E.: Bubbles. Drops and Particles. Academin Press, New York (1978)

    Google Scholar 

  19. Chorin, A.J.: Numerical solution of the Navier-Stokes equations. Math. Comput. 22, 745–762 (1968)

    Article  MathSciNet  Google Scholar 

  20. Coyajee, E., Boersma, B.J.: Numerical simulation of drop impact on a liquid-liquid interface with a multiple marker front-capturing method. J. Comput. Phys. 228(12), 4444–4467 (2009)

    Article  Google Scholar 

  21. Darmana, D., Deen, N.G., Kuipers, J.A.M.: Detailed 3D modeling of mass transfer processes in two-phase flows with dynamic interfaces. Chem. Eng. Technol. 29(9), 1027–1033 (2006)

    Article  Google Scholar 

  22. Davidson, M.R., Rudman, M.: Volume-of-fluid calculation of heat or mass transfer across deforming interfaces in two-fluid flow. Numer. Heat Transf. Part B Fundam. 41, 291–308 (2002)

    Article  Google Scholar 

  23. Esmaeeli, A., Tryggvason, G.: Direct numerical simulations of bubbly flows Part 2. Moderate Reynolds number arrays. J. Fluid Mech. 385, 325–358 (1999)

    Article  Google Scholar 

  24. Gaskell, P.H., Lau, A.K.C.: Curvature-compensated convective transport: SMART a new boundedness-preserving transport algorithm. Int. J. Numer. Methods 8, 617–641 (1988)

    Article  MathSciNet  Google Scholar 

  25. Gottlieb, S., Shu, C.W.: Total Variation Dimishing Runge-Kutta Schemes. Math. Comput. 67, 73–85 (1998)

    Article  Google Scholar 

  26. Gutiérrez, E., Balcázar, N., Bartrons, E., Rigola, J.: Numerical study of Taylor bubbles rising in a stagnant liquid using a level-set/moving-mesh method. Chem. Eng. Sci. 164, 102–117 (2017)

    Article  Google Scholar 

  27. Hirt, C., Nichols, B.: Volume of fluid (VOF) method for the dynamics of free boundary. J. Comput. Phys. 39, 201–225 (1981)

    Article  Google Scholar 

  28. Ishii, M., Hibiki, T.: Thermo-Fluid Dynamics of Two-Phase Flow, 2nd edn. Springer, New York (2010). https://doi.org/10.1007/978-1-4419-7985-8

    Book  MATH  Google Scholar 

  29. Jasak, H., Weller, H.G.: Application of the finite volume method and unstructured meshes to linear elasticity. Int. J. Numer. Meth. Eng. 48, 267–287 (2000)

    Article  Google Scholar 

  30. Koynov, A., Khinast, J.G., Tryggvason, G.: Mass transfer and chemical reactions in bubble swarms with dynamic interfaces. AIChE J. 51(10), 2786–2800 (2005)

    Article  Google Scholar 

  31. Lochiel, A., Calderbank, P.: Mass transfer in the continuous phase around axisymmetric bodies of revolution. Chem. Eng. Sci. 19, 471–484 (1964)

    Article  Google Scholar 

  32. Mavriplis, D.J.: Unstructured mesh discretizations and solvers for computational aerodynamics. In: 18th Computational Fluid Dynamics Conference, AIAA Paper, pp. 2007–3955, Miami (2007). https://doi.org/10.2514/6.2007-3955

  33. Olsson, E., Kreiss, G.: A conservative level set method for two phase flow. J. Comput. Phys. 210, 225–246 (2005)

    Article  MathSciNet  Google Scholar 

  34. Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 175–210 (1988)

    Article  MathSciNet  Google Scholar 

  35. Rhie, C.M., Chow, W.L.: Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21, 1525–1532 (1983)

    Article  Google Scholar 

  36. Roghair, I., Van Sint Annaland, M., Kuipers, J.A.M.: An improved front-tracking technique for the simulation of mass transfer in dense bubbly flows. Chem. Eng. Sci. 152, 351–369 (2016)

    Article  Google Scholar 

  37. Sussman, M., Smereka, P., Osher, S.: A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 144, 146–159 (1994)

    Article  Google Scholar 

  38. Sussman, M., Puckett, E.G.: A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. J. Comput. Phys. 162, 301–337 (2000)

    Article  MathSciNet  Google Scholar 

  39. Sun, D.L., Tao, J.W.Q.: A coupled volume-of-fluid and level-set (VOSET) method for computing incompressible two-phase flows. Int. J. Heat Mass Transf. 53, 645–655 (2010)

    Article  Google Scholar 

  40. Sweby, P.K.: High resolution using flux limiters for hyperbolic conservation laws. SIAM J. Numer. Anal. 21, 995–1011 (1984)

    Article  MathSciNet  Google Scholar 

  41. Tryggvason, G., et al.: A front-tracking method for the computations of multiphase flow. J. Comput. Phys. 169, 708–759 (2001)

    Article  MathSciNet  Google Scholar 

  42. Winnikow, S.: Letter to the editors. Chem. Eng. Sci. 22(3), 477 (1967)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Heat and Mass Transfer Technological Centre, Universitat Politècnica de Catalunya-BarcelonaTech, Colom 11, 08222, Terrassa (Barcelona), Spain

    Néstor Balcázar-Arciniega, Joaquim Rigola & Assensi Oliva

Authors
  1. Néstor Balcázar-Arciniega
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Joaquim Rigola
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Assensi Oliva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Néstor Balcázar-Arciniega .

Editor information

Editors and Affiliations

  1. Brunel University London, London, UK

    Derek Groen

  2. University of Amsterdam, Amsterdam, The Netherlands

    Clélia de Mulatier

  3. AGH University of Science and Technology, Krakow, Poland

    Maciej Paszynski

  4. University of Amsterdam, Amsterdam, The Netherlands

    Valeria V. Krzhizhanovskaya

  5. University of Tennessee at Knoxville, Knoxville, TN, USA

    Jack J. Dongarra

  6. University of Amsterdam, Amsterdam, The Netherlands

    Peter M. A. Sloot

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Balcázar-Arciniega, N., Rigola, J., Oliva, A. (2022). DNS of Mass Transfer in Bi-dispersed Bubble Swarms. In: Groen, D., de Mulatier, C., Paszynski, M., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M.A. (eds) Computational Science – ICCS 2022. ICCS 2022. Lecture Notes in Computer Science, vol 13353. Springer, Cham. https://doi.org/10.1007/978-3-031-08760-8_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-08760-8_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-08759-2

  • Online ISBN: 978-3-031-08760-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation