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μ-PIV measurements of the ensemble flow fields surrounding a migrating semi-infinite bubble

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Abstract

Microscale particle image velocimetry measurements of ensemble flow fields surrounding a steadily migrating semi-infinite bubble through the novel adaptation of a computer controlled linear motor flow control system. The system was programmed to generate a square wave velocity input in order to produce accurate constant bubble propagation repeatedly and effectively through a fused glass capillary tube. We present a novel technique for re-positioning of the coordinate axis to the bubble tip frame of reference in each instantaneous field through the analysis of the sudden change of standard deviation of centerline velocity profiles across the bubble interface. Ensemble averages were then computed in this bubble tip frame of reference. Combined fluid systems of water/air, glycerol/air, and glycerol/Si-oil were used to investigate flows comparable to computational simulations described in Smith and Gaver III (J Fluid Mech 601:1–23, 2008) and to past experimental observations of interfacial shape. Fluorescent particle images were also analyzed to measure the residual film thickness trailing behind the bubble. The flow fields and film thickness agree very well with the computational simulations as well as existing experimental and analytical results. Particle accumulation and migration associated with the flow patterns near the bubble tip after long experimental durations are discussed as potential sources of error in the experimental method.

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References

  • Adrian RJ (1991) Particle-imaging techniques for experimental fluid mechanics. Annu Rev Fluid Mech 23:261–304

    Article  Google Scholar 

  • Adrian RJ (2005) Twenty years of particle image velocimetry. Exp Fluids 39:159–169

    Article  Google Scholar 

  • Agostini B, Revelin R, Thome JR (2007) Elongated bubbles in microchannels. Part I: Experimental study and modeling of elongated bubble velocity. Int J Multiph Flow 34:590–601

    Article  Google Scholar 

  • Bilek AM, Dee KC, Gaver DP III (2003) Mechanisms of surface-tension-induced epithelial cell damage in a model of pulmonary airway reopening. J Appl Physiol 94:770–783

    Article  Google Scholar 

  • Bretherton FP (1961) The motion of long drops and bubbles in tubes. J Fluid Mech 10:166–188

    Article  MATH  MathSciNet  Google Scholar 

  • Cassidy KJ, Halpern D, Ressler BG, Grotberg JB (1999) Surfactant effects in model airway closure experiments. J Appl Physiol 87(1):145–427

    Google Scholar 

  • Cassidy KJ, Gavriely N, Grotberg JB (2001) Liquid plug flow in straight and bifurcating tubes. J Biomech Eng 123:580–589

    Article  Google Scholar 

  • Chen JD (1986) Measuring the film thickness surrounding a bubble inside a capillary. J Colloid Interface Sci 109:341–349

    Article  Google Scholar 

  • Clements JA, Avery ME (1998) Lung surfactant and neonatal respiratory distress syndrome. Am J Respir Crit Care Med 157:S55–S66

    Google Scholar 

  • Fairbrother F, Stubbs AE (1935) Studies in electro-endosmosis VI. The bubble tube method of measurement. J Chem Soc 1:527–529

    Article  Google Scholar 

  • Gaver DP III, Samsel RW, Solway J (1990) Effects of surface tension and viscosity on airway reopening. J Appl Physiol 69:74–85

    Google Scholar 

  • Gaver DP III, Halpern D, JO E, Grotberg JB (1996) The steady motion of a semi-infinite bubble through a flexible-walled channel. J Fluid Mech 319:25–65

    Article  MATH  Google Scholar 

  • Gaver DP III, Jacob AM, Bilek AM, Dee KC (2006) The significance of air–liquid interfacial stresses on low-volume ventilator-induced lung injury in. In: Dreyfuss D, Saumon G, Hubmayr RD (eds) Ventilator-induced lung injury, vol 215. Taylor & Francis Group, New York, pp 157–203

    Google Scholar 

  • Ghadiali SN, Gaver DP III (2003) The Influence of non-equilibrium surfactant dynamics on the flow of a semi-infinite bubble in a rigid cylindrical capillary tube. J Fluid Mech 478:165–196

    Article  MATH  Google Scholar 

  • Ghadiali SN, Halpern D, Gaver DP III (2001) A dual-reciprocity boundary element method for evaluating bulk convective transport of surfactant in free-surface flows. J Comput Phys 171:534–559

    Article  MATH  Google Scholar 

  • Goldsmith HL, Mason SG (1963) The flow of suspensions through tubes II. Single large bubbles. J Colloid Sci 18:237–261

    Article  Google Scholar 

  • Gunther A, Jensen KF (2006) Multiphase microfluidics: from flow characteristics to chemical and material synthesis. Lab Chip 6:1487–1503

    Article  Google Scholar 

  • Halpern D, Gaver DP III (1994) Boundary element analysis of the time-dependent motion of a semi-infinite bubble in a channel. J Comput Phys 115:366–375

    Article  MATH  Google Scholar 

  • Hazel AL, Heil M (2003) Three-dimensional airway reopening: the steady propagation of a semi-infinite bubble into a buckled elastic tube. J Fluid Mech 478:47–70

    Article  MATH  MathSciNet  Google Scholar 

  • Hazel AL, Heil M (2006) Finite-Reynolds-number effects in steady, three-dimensional airway reopening. J Biomech Eng 128:573–578

    Article  Google Scholar 

  • Heil M (2000) Finite Reynolds number effects in the propagation of an air finger into a liquid-filled flexible-walled channel. J Fluid Mech 424:21–44

    Article  MATH  Google Scholar 

  • Hodges SR, Jensen OE, Rallison JM (2004) The motion of a viscous drop through a cylindrical tube. J Fluid Mech 501:279–301

    Article  MATH  MathSciNet  Google Scholar 

  • Huh D, Fujioka H, Tung Y-C, Futai N, Paine R III, Grotberg JB (2007) Acoustically detectable cellular-level lung injury induced by fluid mechanical stress in microfluidic airway systems. Proc Natl Acad Sci 104(48):18886–18891

    Article  Google Scholar 

  • Jacob AM, Gaver DP III (2005) An investigation of the influence of cell topography on epithelial mechanical stresses during pulmonary airway reopening. Phys Fluids 17:031502

    Article  MathSciNet  Google Scholar 

  • Juel A, Heap A (2006) The reopening of a collapsed fluid-filled elastic tube. J Fluid Mech 572:287–310

    Article  Google Scholar 

  • Kay SS, Bilek AM, Dee KC, Gaver DP III (2004) Pressure gradient, not exposure duration, determines the extent of epithelial cell damage in a model of pulmonary reopening. J Appl Physiol 97:269–276

    Article  Google Scholar 

  • Meinhart CD, Wereley ST, Santiago JG (1999) PIV measurements of a microchannel flow. Exp Fluids 27:414–419

    Article  Google Scholar 

  • Meinhart CD, Wereley ST, Santiago JG (2000) A PIV algorithm for estimating time-averaged velocity fields. J Fluid Eng 122:285–289

    Article  Google Scholar 

  • Mielink MM, Saetran LR (2006) Selective seeding for micro-PIV. Exp Fluids 41:155–159

    Article  Google Scholar 

  • Muradoglu M, Gunther A, Stone HA (2007) A computational study of axial dispersion in segmented gas–liquid flow. Phys Fluids 19:072109

    Article  Google Scholar 

  • Natrajan VK, Yamaguchi E, Christensen KC (2007) Statistical and structural similarities between micro- and macroscale wall turbulence. Microfluid Nanofluidics 3:89–100

    Article  Google Scholar 

  • Nogueira S, Sousa RG, Pinto AMFR, Riethmuller ML, Campos JBLM (2003) Simultaneous PIV and pulsed shadow technique in slug flow: a solution for optical problems. Exp Fluids 35:598–609

    Article  Google Scholar 

  • Olsen MG, Adrian RJ (2000) Out-of-focus effects on particle image visibility and correlation in microscopic particle image velocimetry. Exp Fluids (Suppl):S166–S174

  • Park CM, Homsy GW (1984) Two-phase displacement in hele-shaw cells: theory. J Fluid Mech 139:291–308

    Article  MATH  Google Scholar 

  • Perun ML, Gaver DP III (1995a) An experimental model investigation of the opening of a collapsed untethered pulmonary airway. J Biomech Eng 117:245–253

    Article  Google Scholar 

  • Perun ML, Gaver DP III (1995b) The interaction between airway lining fluid forces and parenchymal tethering during pulmonary airway reopening. J Appl Physiol 75:1717–1728

    Google Scholar 

  • Ratulowski J, Chang H-C (1990) Marangoni effects of trace impurities on the motion of long gas bubbles in capillaries. J Fluid Mech 210:303–328

    Article  MATH  Google Scholar 

  • Santiago JG, Wereley ST, Meinhart CD, Beebe DJ, Adrian RJ (1998) A particle image velocimetry system for microfluidics. Exp Fluids 25:316–319

    Article  Google Scholar 

  • Smith BJ, Gaver DP III (2008) The pulsatile propagation of a finger of air within a fluid-occluded cylindrical tube. J Fluid Mech 601:1–23

    Article  MATH  MathSciNet  Google Scholar 

  • Soares EJ, Carvalho MS, Souza Mendes PR (2005) Immiscible liquid–liquid displacement in capillary tubes. J Fluid Eng 127:24–31

    Article  Google Scholar 

  • Stebe KJ, Barthes-Biesel D (1995) Marangoni effects of adsorption–desorption controlled surfactants on the leading edge of an infinitely long bubble in a capillary. J Fluid Mech 286:25–48

    Article  MATH  Google Scholar 

  • Stebe KJ, Maldarelli C (1994) Remobilizing surfactant retarded fluid particle interfaces II. Controlling the surface mobility at interfaces of solutions containing surface active components. J Colloid Interface Sci 163:177–189

    Article  Google Scholar 

  • Taha T, Cui ZF (2004) Hydrodynamics of slug flow inside capillaries. Chem Eng Sci 59:1181–1190

    Article  Google Scholar 

  • Thulasidas TC, Abraham MA, Cerro RL (1997) Flow patterns in liquid slugs during bubble-train inside capillaries. Chem Eng Sci 52(17):2947–2962

    Article  Google Scholar 

  • Yalcin HC, Perry SF, Ghadiali SN (2007) Influence of airway diameter and cell confluence on epithelial cell injury in an in vitro model of airway reopening. J Appl Physiol 103:1796–1807

    Article  Google Scholar 

  • Yap DYK, Gaver DP III (1998) The influence of surfactant on two-phase flow in a flexible-walled channel under bulk equilibrium conditions. Phys Fluids 10:1846–1863

    Article  Google Scholar 

  • Yap DYK, Liebkemann WD, Solway J, Gaver DP III (1994) The influence of parenchymal tethering on the reopening of closed pulmonary airways. J Appl Physiol 76:2095–2105

    Google Scholar 

  • Zoueshtiagh F, Thomas PJ, Thomy V, Merlen A (2008) Micrometric granular ripple patterns in a capillary tube. Phys Rev Lett 100(5):054501

    Article  Google Scholar 

Download references

Acknowledgments

This research is supported by NIH R01-HL81266. The authors would like to thank Dr. David Halpern and Anne-Marie Jacob for scientific discussion and advice.

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Correspondence to Donald P. Gaver III.

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Yamaguchi, E., Smith, B.J. & Gaver, D.P. μ-PIV measurements of the ensemble flow fields surrounding a migrating semi-infinite bubble. Exp Fluids 47, 309–320 (2009). https://doi.org/10.1007/s00348-009-0662-1

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  • DOI: https://doi.org/10.1007/s00348-009-0662-1

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