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Microfluidics and Nanofluidics

, Volume 19, Issue 3, pp 523–545 | Cite as

Bubbly flow and gas–liquid mass transfer in square and circular microchannels for stress-free and rigid interfaces: CFD analysis

  • David MikaelianEmail author
  • Benoît Haut
  • Benoit Scheid
Research Paper

Abstract

In this paper, the dynamics of bubbles and the mass transfer between bubbles and the surrounding liquid in square and circular microchannels are investigated, in the bubbly flow regime. For this purpose, a computational fluid dynamics analysis is used to carry out numerical simulations of the liquid flow and the mass transport around a spherical bubble in a square or a circular microchannel, for a stress-free or a rigid gas–liquid interface. The corresponding results are consolidated into correlations to calculate the bubble velocity and the interfacial rate of mass transfer as functions of the control parameters of the system. For each considered case, the flow structure, the concentration field around the bubble and the local interfacial rate of mass transfer are presented and shown to be intricately related.

Keywords

Microfluidics Absorption Square microchannel  Circular microchannel Bubbles Spherical bubbles CFD 

Notes

Acknowledgments

The authors gratefully acknowledge Louise De Cannière for her assistance in numerical simulations. The authors also acknowledge Jean-Christophe Baret, Charles Baroud and Pierre Miquel for fruitful discussions. D.M. and B.S. acknowledge the Fonds de la Recherche Scientifique (F.R.S.–F.N.R.S.) for its financial support. This research has been performed under the umbrella of the COST action MP1106 and also took part in the Inter-university Attraction Pole Programme (IAP 7/38 MicroMAST) initiated by the Belgian Science Policy Office.

References

  1. Bruus H (2008) Theoretical microfluidics, vol 18. Oxford University Press, Oxford, pp 41–50 and 75 Google Scholar
  2. Bird RB, Stewart WE, Lightfoot EN (2007) Transport phenomena. Wiley, New York, pp 100, 636 and 677–678Google Scholar
  3. Champougny L, Scheid B, Restagno F, Vermant J, Rio E (2015) Surfactant-induced rigidity of interfaces: a unified approach to free and dip-coated films. Soft Matter 11:2758–2770CrossRefGoogle Scholar
  4. Clift R, Grace JR, Weber ME (1978) Bubbles, drops and particles. Academic Press, New YorkGoogle Scholar
  5. Coulson JM, Richardson JF (1991) Chemical engineering volume 2: particle technology and separation, 4th edn. Pergamon Press, OxfordGoogle Scholar
  6. Cubaud T, Ho CM (2004) Transport of bubbles in square microchannels. Phys Fluids 16:4575CrossRefGoogle Scholar
  7. Cubaud T, Sauzade M, Sun R (2012) CO2 dissolution in water using long serpentine microchannels. Biomicrofluidics 6:022002CrossRefGoogle Scholar
  8. Dani A, Cockx A, Guiraud P (2006) Direct numerical simulation of mass transfer from spherical bubbles: the effect of interface contamination at low Reynolds numbers. Int J Chem React Eng 4(1):1542Google Scholar
  9. Figueroa-Espinoza B, Legendre D (2010) Mass or heat transfer from spheroidal gas bubbles rising through a stationary liquid. Chem Eng Sci 65:6296–6309CrossRefGoogle Scholar
  10. Haas U, Schmidt-Traub H, Brauer H (1972) Umströmung kugelförmiger Blasen mit innerer Zirkulation. Chem Ing Tech 44:1060–1068CrossRefGoogle Scholar
  11. Haberman WL, Morton RK (1953) An experimental investigation of the drag and shape of air bubbles rising in various liquids. David Taylor Model Basin, Report 802Google Scholar
  12. Haut B, Colinet P (2005) Surface-tension-driven instabilities of a pure liquid layer evaporating into an inert gas. J Colloid Interface Sci 285:296–305CrossRefGoogle Scholar
  13. Kashid MN, Renken A, Kiwi-Minsker L (2011) Gas–liquid and liquid–liquid mass transfer in microstructured reactors. Chem Eng Sci 66(17):3876–3897CrossRefGoogle Scholar
  14. Kawahara A, Chung PY, Kawaji M (2002) Investigation of two-phase flow pattern, void fraction and pressure drop in a microchannel. Int J Multiph Flow 28(9):1411–1435CrossRefzbMATHGoogle Scholar
  15. Kim N, Evans ET, Park DS, Soper SA, Murphy MC, Nikitopoulos DE (2011) Gas–liquid two-phase flows in rectangular polymer micro-channels. Exp Fluids 51(2):373–393CrossRefGoogle Scholar
  16. Levich VG (1962) Physicochemical hydrodynamics, vol 689. Prentice-Hall, Englewood Cliffs, NJ, pp 84–85 and 467Google Scholar
  17. Magnaudet J, Rivero M, Fabre J (1995) Accelerated flows past a rigid sphere or a spherical bubble. Part 1. J Fluid Mech 284:97–135MathSciNetCrossRefzbMATHGoogle Scholar
  18. Mikaelian D, Haut B, Scheid B (2015) Bubbly flow and gas-liquid mass transfer in square and circular microchannels for stress-free and rigid interfaces: dissolution model. Microfluid Nanofluid (in revision)Google Scholar
  19. Pamme N (2007) Continuous flow separations in microfluidic devices. Lab Chip 7(12):1644–1659CrossRefGoogle Scholar
  20. Ponoth SS, McLaughlin JB (2000) Numerical simulation of mass transfer for bubbles in water. Chem Eng Sci 55:1237–1255CrossRefGoogle Scholar
  21. Ratulowski J, Chang HC (1990) Marangoni effects of trace impurities on the motion of long gas bubbles in capillaries. J Fluid Mech 210:303–328CrossRefzbMATHGoogle Scholar
  22. Rust AC, Manga M (2002) Bubble shapes and orientations in low Re simple shear flow. J Colloid Interface Sci 249(2):476–480CrossRefGoogle Scholar
  23. Shim S, Wan J, Hilgenfeldt S, Panchal PD, Stone HA (2014) Dissolution without disappearing: multicomponent gas exchange for \(\text{CO}_2\) bubbles in a microfluidic channel. Lab Chip 14:2428–2436CrossRefGoogle Scholar
  24. Song H, Chen DL, Ismagilov RF (2006) Reactions in droplets in microfluidic channels. Angew Chem Int Edn 45(44):7336–7356CrossRefGoogle Scholar
  25. Stebe KJ, Barthès-Biesel D (1995) Marangoni effects of adsorption-desorption controlled surfactants on the leading end of an infinitely long bubble in a capillary. J Fluid Mech 286:25–48CrossRefzbMATHGoogle Scholar
  26. Sun R, Cubaud T (2011) Dissolution of carbon dioxide bubbles and microfluidic multiphase flows. Lab Chip 11(17):2924–2928CrossRefGoogle Scholar
  27. Triplett KA, Ghiaasiaan SM, Abdel-Khalik SI, Sadowski DL (1999a) Gas–liquid two-phase flow in microchannels part I: two-phase flow patterns. Int J Multiph Flow 25(3):377–394CrossRefzbMATHGoogle Scholar
  28. Triplett KA, Ghiaasiaan SM, Abdel-Khalik SI, LeMouel A, McCord BN (1999b) Gas–liquid two-phase flow in microchannels: part II: void fraction and pressure drop. Int J Multiph Flow 25(3):395–410CrossRefzbMATHGoogle Scholar
  29. Wylock C, Larcy A, Colinet P, Cartage T, Haut B (2010) Direct numerical simulation of the CO2 transfer from spherical bubbles to NaHCO3 and Na2CO3 aqueous solutions with clean and fully contaminated interface. Colloids Surf A Physicochem Eng Asp 365:28–35CrossRefGoogle Scholar
  30. Wylock C, Larcy A, Colinet P, Cartage T, Haut B (2011) Direct numerical simulation of bubble–liquid mass transfer coupled with chemical reactions: influence of bubble shape and interface contamination. Colloids Surf A Physicochem Eng Asp 381:130–138CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Transfers, Interfaces and Processes (TIPs), CP 165/67Université libre de BruxellesBrusselsBelgium

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