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Numerical study of flow fields in an airway closure model

  • C.-F. TAI (a1), S. BIAN (a1), D. HALPERN (a2), Y. ZHENG (a1), M. FILOCHE (a3) and J. B. GROTBERG (a1)...

The liquid lining in small human airways can become unstable and form liquid plugs that close off the airways. Direct numerical simulations are carried out on an airway model to study this airway instability and the flow-induced stresses on the airway walls. The equations governing the fluid motion and the interfacial boundary conditions are solved using the finite-volume method coupled with the sharp interface method for the free surface. The dynamics of the closure process is simulated for a viscous Newtonian film with constant surface tension and a passive core gas phase. In addition, a special case is examined that considers the core dynamics so that comparisons can be made with the experiments of Bian et al. (J. Fluid Mech., vol. 647, 2010, p. 391). The computed flow fields and stress distributions are consistent with the experimental findings. Within the short time span of the closure process, there are large fluctuations in the wall shear stress. Furthermore, dramatic velocity changes in the film during closure indicate a steep normal stress gradient on the airway wall. The computational results show that the wall shear stress, normal stress and their gradients during closure can be high enough to injure airway epithelial cells.

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C. S. Baker , T. W. Evans , B. J. Randle & P. L. Haslam 1999 Damage to surfactant-specific protein in acute respiratory distress syndrome. Lancet 353, 12321237.

S. Bian , C.-F. Tai , D. Halpern , Y. Zheng & J. B. Grotberg 2010 Experimental study of flow fields in an airway closure model. J. Fluid Mech. 647, 391402.

A. M. Bilek , K. C. Dee & D. P. Gaver 2003 Mechanisms of surface-tension-induced epithelial cell damage in a model of pulmonary airway reopening. J. Appl. Physiol. 94, 770783.

D. M. Campana , J. Di Paolo & F. A. Saita 2004 A 2-D model of Rayleigh instability in capillary tubes – surfactant effects. Intl J. Multiphase Flow 30, 431454.

D. M. Campana & F. A. Saita 2006 Numerical analysis of the Rayleigh instability in capillary tubes: The influence of surfactant solubility. Phys. Fluids 18, 022104.

Y. J. Chen & P. H. Steen 1997 Dynamics of inviscid capillary breakup: collapse and pinchoff of a film bridge. J. Fluid Mech. 341, 245267.

P. A. Dargaville , M. South & P. N. McDougall 1996 Surfactant abnormalities in infants with severe viral bronchiolitis. Arch. Dis. Child. 75, 133136.

J. Eggers 1997 Nonlinear dynamics and breakup of free-surface flows. Rev. Mod. Phys. 69, 865929.

J. Eggers & E. Villermaux 2008 Physics of liquid jets. Rep. Prog. Phys. 71, 036601.

H. Fujioka & J. B. Grotberg 2004 Steady propagation of a liquid plug in a two-dimensional channel. J. Biomech. Engng - Trans. ASME 126, 567577.

H. Fujioka & J. B. Grotberg 2005 The steady propagation of a surfactant-laden liquid plug in a two-dimensional channel. Phys. Fluids 17, 082102.

H. Fujioka , S. Takayama & J. B. Grotberg 2008 Unsteady propagation of a liquid plug in a liquid-lined straight tube. Phys. Fluids 20, 062104.

S. N. Ghadiali & D. P. Gaver 2008 Biomechanics of liquid–epithelium interactions in pulmonary airways. Respir. Physiol. Neurobiol. 163, 232243.

M. Griese , R. Essl , R. Schmidt , E. Rietschel , F. Ratjen , M. Ballmann & K. Paul 2004 Pulmonary surfactant, lung function, and endobronchial inflammation in cystic fibrosis. Am. J. Respir. Crit. Care Med. 170, 10001005.

C. Guerin , S. LeMasson , R. DeVarax , J. MilicEmili & G. Fournier 1997 Small airway closure and positive end-expiratory pressure in mechanically ventilated patients with chronic obstructive pulmonary disease. Am. J. Respir. Crit. Care Med. 155, 19491956.

A. Gunther , C. Siebert , R. Schmidt , S. Ziegler , F. Grimminger , M. Yabut , B. Temmesfeld , D. Walmrath , H. Morr & W. Seeger 1996 Surfactant alterations in severe pneumonia, acute respiratory distress syndrome, and cardiogenic lung edema. Am. J. Respir. Crit. Care Med. 153, 176184.

D. Halpern , H. Fujioka & J. B. Grotberg 2010 The effect of viscoelasticity on the stability of a pulmonary airway liquid layer. Phys. Fluids 22, 011901.

D. Halpern & J. B. Grotberg 1992 Fluid-elastic instabilities of liquid-lined flexible tubes. J. Fluid Mech. 244, 615632.

D. Halpern & J. B. Grotberg 1993 Surfactant effects on fluid-elastic instabilities of liquid-lined flexible tubes: a model of airway closure. J. Biomech. Engng - Trans. ASME 115, 271277.

D. Halpern & J. B. Grotberg 2003 Nonlinear saturation of the Rayleigh instability due to oscillatory flow in a liquid-lined tube. J. Fluid Mech. 492, 251270.

P. S. Hammond 1983 Nonlinear adjustment of a thin annular film of viscous-fluid surrounding a thread of another within a circular cylindrical pipe. J. Fluid Mech. 137, 363384.

M. Heil 1999 Airway closure: Occluding liquid bridges in strongly buckled elastic tubes. J. Biomech. Engng - Trans. ASME 121, 487493.

M. Heil , A. L. Hazel & J. A. Smith 2008 The mechanics of airway closure. Respir. Physiol. Neurobiol. 163, 214221.

C. W. Hirt & B. D. Nichols 1981 Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201225.

D. Huh , H. Fujioka , Y. C. Tung , N. Futai , R. Paine , J. B. Grotberg & S. Takayama 2007 Acoustically detectable cellular-level lung injury induced by fluid mechanical stresses in microfluidic airway systems. Proc. Natl Acad. Sci. USA 104, 1888618891.

M. Johnson , R. D. Kamm , L. W. Ho , A. Shapiro & T. J. Pedley 1991 The nonlinear growth of surface-tension-driven instabilities of a thin annular film. J. Fluid Mech. 233, 141156.

S. S. Kay , A. M. Bilek , K. C. Dee & D. P. Gaver 2004 Pressure gradient, not exposure duration, determines the extent of epithelial cell damage in a model of pulmonary airway reopening. J. Appl. Physiol. 97, 269276.

J. B. Keller & M. J. Miksis 1983 Surface-tension-driven flows. SIAM J. Appl. Math. 43, 268277.

P. T. Macklem , D. F. Proctor & J. C. Hogg 1970 Stability of peripheral airways. Respir. Physiol. 8, 191203.

J. G. Muscedere , J. B. M. Mullen , K. Gan & A. S. Slutsky 1994 Tidal ventilation at low airway pressures can augment lung injury. Am. J. Respir. Crit. Care Med. 149, 13271334.

S. J. Osher & R. P. Fedkiw 2003 Level Set Methods and Dynamic Implicit Surfaces. Springer.

C. S. Peskin 1977 Numerical analysis of blood flow in the heart. J. Comput. Phys. 25, 220252.

P. Piirila & A. R. A. Sovijarvi 1995 Crackles: recording, analysis and clinical significance. Eur. Respir. J. 8, 21392148.

J. Rasanen & N. Gavriely 2005 Response of acoustic transmission to positive airway pressure therapy in experimental lung injury. Intensive Care Med. 31, 14341441.

G. Ryskin & L. G. Leal 1984 Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid. J. Fluid Mech. 148, 1935.

W. Shyy 1994 Computational Modeling for Fluid Flow and Interfacial Transport. Elsevier.

C.-F. Tai & W. Shyy 2005 Multigrid computations and conservation law treatment of a sharp interface method. Numer. Heat Trans. B 48, 405424.

V. Taskar , J. John , E. Evander , B. Robertson & B. Jonson 1997 Surfactant dysfunction makes lungs vulnerable to repetitive collapse and reexpansion. Am. J. Respir. Crit. Care Med. 155, 313320.

J. P. White & M. Heil 2005 Three-dimensional instabilities of liquid-lined elastic tubes: A thin-film fluid–structure interaction model. Phys. Fluids 17, 031506.

T. Ye , W. Shyy , C.-F. Tai & J. Chung 2004 Assessment of sharp- and continuous-interface methods for drop in static equilibrium. Comput. Fluids 33, 917926.

Y. Zheng , H. Fujioka , S. Bian , Y. Torisawa , D. Huh , S. Takayama & J. B. Grotberg 2009 Liquid plug propagation in flexible microchannels – a small airway model. Phys. Fluids 21, 071903.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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