Annals of Biomedical Engineering

, Volume 38, Issue 12, pp 3550–3571 | Cite as

Numerical Study of High-Frequency Oscillatory Air Flow and Convective Mixing in a CT-Based Human Airway Model

  • Jiwoong Choi
  • Guohua Xia
  • Merryn H. Tawhai
  • Eric A. Hoffman
  • Ching-Long Lin
Article

Abstract

High-frequency oscillatory ventilation (HFOV) is considered an efficient and safe respiratory technique to ventilate neonates and patients with acute respiratory distress syndrome. HFOV has very different characteristics from normal breathing physiology, with a much smaller tidal volume and a higher breathing frequency. In this study, the high-frequency oscillatory flow is studied using a computational fluid dynamics analysis in three different geometrical models with increasing complexity: a straight tube, a single-bifurcation tube model, and a computed tomography (CT)-based human airway model of up to seven generations. We aim to understand the counter-flow phenomenon at flow reversal and its role in convective mixing in these models using sinusoidal waveforms of different frequencies and Reynolds (Re) numbers. Mixing is quantified by the stretch rate analysis. In the straight-tube model, coaxial counter flow with opposing fluid streams is formed around flow reversal, agreeing with an analytical Womersley solution. However, counter flow yields no net convective mixing at end cycle. In the single-bifurcation model, counter flow at high Re is intervened with secondary vortices in the parent (child) branch at end expiration (inspiration), resulting in an irreversible mixing process. For the CT-based airway model three cases are considered, consisting of the normal breathing case, the high-frequency-normal-Re (HFNR) case, and the HFOV case. The counter-flow structure is more evident in the HFNR case than the HFOV case. The instantaneous and time-averaged stretch rates at the end of two breathing cycles and in the vicinity of flow reversal are computed. It is found that counter flow contributes about 20% to mixing in HFOV.

Keywords

High-frequency oscillatory ventilation CT-based human airway CFD Secondary flow Stretch rate Mixing 

References

  1. 1.
    Adler, K., and C. Brücker. Dynamic flow in a realistic model of the upper human lung airways. Exp. Fluids 43:411–423, 2007.CrossRefGoogle Scholar
  2. 2.
    ARDSN: The Acute Respiratory Distress Syndrome Network (ARDSN). Ventilation with lower tidal volumes as compared with traditional tidal volumes for acute lung injury and the acute respiratory distress syndrome. N. Engl. J. Med. 342:1301–1308, 2000.CrossRefGoogle Scholar
  3. 3.
    Chang, H. K. Mechanisms of gas transport during ventilation by high-frequency oscillation. J. Appl. Physiol. 56:553–563, 1984.PubMedGoogle Scholar
  4. 4.
    Choi, J., M. H. Tawhai, E. A. Hoffman, and C.-L. Lin. On intra- and intersubject variabilities of airflow in the human lungs. Phys. Fluids 21:101901, 2009. doi:10.1063/1.3247170.CrossRefGoogle Scholar
  5. 5.
    Darquenne, C., and G. Kim Prisk. Aerosols in the study of convective acinar mixing. Respir. Physiol. Neurobiol. 148(1–2):207–216, 2005.CrossRefPubMedGoogle Scholar
  6. 6.
    Derdak, S., S. Mehta, T. E. Stewart, T. Smith, M. Rogers, T. G. Buchman, B. Carlin, S. Lowson, J. Granton, and the Multicenter Oscillatory Ventilation for Acute Respiratory Distress Syndrome Trial (MOAT) Study Investigator. High-frequency oscillatory ventilation for acute respiratory distress syndrome in adults: a randomized, controlled trial. Am. J. Respir. Crit. Care Med. 166:801–808, 2002.CrossRefPubMedGoogle Scholar
  7. 7.
    Dos Santos, C. C., and A. S. Slutsky. The contribution of biophysical lung injury to the development of biotrauma. Annu. Rev. Physiol. 68:585–618, 2006.CrossRefPubMedGoogle Scholar
  8. 8.
    Formaggia, L., F. Nobile, A. Quarteroni, and A. Veneziani. Multiscale modelling of the circulatory system: a preliminary analysis. Comput. Vis. Sci. 2:2–3, 1999.CrossRefGoogle Scholar
  9. 9.
    Grinberg, L., and G. Karniadakis. Outflow boundary conditions for arterial networks with multiple outlets. Ann. Biomed. Eng. 36:9, 2008.CrossRefGoogle Scholar
  10. 10.
    Henry, F. S., J. P. Butler, and A. Tsuda. Kinematically irreversible acinar flow: a departure from classical dispersive aerosol transport theories. J. Appl. Physiol. 92:835–845, 2002.PubMedGoogle Scholar
  11. 11.
    Heraty, K. B., J. G. Laffey, and N. J. Quinlan. Fluid dynamics of gas exchange in high-frequency oscillatory ventilation: in vitro investigations in idealized and anatomically realistic airway bifurcation models. Ann. Biomed. Eng. 36(11):1856–1869, 2008.CrossRefPubMedGoogle Scholar
  12. 12.
    Heyder, J., J. D. Blanchard, H. A. Feldman, and J. D. Brain. Convective mixing in human respiratory tract: estimates with aerosol boli. J. Appl. Physiol. 64:1273–1278, 1988.PubMedGoogle Scholar
  13. 13.
    Horsfield, K., G. Dart, D. E. Olson, G. F. Filley, and G. Cumming. Models of the human bronchial tree. J. Appl. Physiol. 31:207–217, 1971.PubMedGoogle Scholar
  14. 14.
    Jan, D. L., A. H. Shapiro, and R. D. Kamm. Some features of oscillatory flow in a model bifurcation. J. Appl. Physiol. 67:147–159, 1989.PubMedGoogle Scholar
  15. 15.
    Krishnan, J. A., and R. G. Brower. High frequency ventilation for acute lung injury and ARDS. Chest 118:795–807, 2000.CrossRefPubMedGoogle Scholar
  16. 16.
    Kumar, H., M. H. Tawhai, E. A. Hoffman, and C.-L. Lin. The effects of geometry on airflow in the acinar region of the human lung. J. Biomech. 42:1635–1642, 2009.CrossRefPubMedGoogle Scholar
  17. 17.
    Lieber, B. B., and Y. Zhao. Oscillatory flow in a symmetric bifurcation airway model. Ann. Biomed. Eng. 26:821–830, 1998.CrossRefPubMedGoogle Scholar
  18. 18.
    Lin, C.-L., H. Lee, T. Lee, and L. J. Weber. A level set characteristic Galerkin finite element method for free surface flows. Int. J. Numer. Methods Fluids 49(5):521–547, 2005.CrossRefGoogle Scholar
  19. 19.
    Lin, C.-L., M. H. Tawhai, G. McLennan, and E. A. Hoffman. Characteristics of the turbulent laryngeal jet and its effect on airflow in the human intra-thoracic airways. Respir. Physiol. Neurobiol. 157:295–309, 2007.CrossRefPubMedGoogle Scholar
  20. 20.
    Lin, C.-L., M. H. Tawhai, G. McLennan, and E. A. Hoffman. Multiscale simulation of gas flow in subject-specific models of the human lung. IEEE Eng. Med. Biol. Mag. 28:25–33, 2009.PubMedGoogle Scholar
  21. 21.
    Lunkenheimer, P. P., W. Rafflenbeul, H. Keller, I. Frank, H. H. Dickhut, and C. Fuhrmann. Application of transtracheal pressures oscillations as modification of “diffusion respiration”. Br. J. Anaesth. 44:627, 1972.CrossRefPubMedGoogle Scholar
  22. 22.
    Ma, B., and K. R. Lutchen. An anatomically based hybrid computational model of the human lung and its application to low frequency oscillatory mechanics. Ann. Biomed. Eng. 34(11):1691–1704, 2006.CrossRefPubMedGoogle Scholar
  23. 23.
    Mackley, M. R., and R. M. C. Neves Saraiva. The quantitative description of fluid mixing using Lagrangian- and concentration-based numerical approaches. Chem. Eng. Sci. 54:159–170, 1999.CrossRefGoogle Scholar
  24. 24.
    Majumdar, A., A. M. Alencar, S. V. Buldyrev, Z. Hantos, K. R. Lutchen, H. E. Stanley, and B. Suki. Relating airway diameter distributions to regular branching asymmetry in the lung. Phys. Rev. Lett. 95:168101, 2005.CrossRefPubMedGoogle Scholar
  25. 25.
    Marchak, B. E., W. K. Thompson, P. Duffty, T. Miyaki, M. H. Bryan, A. C. Bryan, and A. B. Froese. Treatment of RDS by high-frequency oscillatory ventilation: a preliminary report. J. Pediatr. 99:287–292, 1981.CrossRefPubMedGoogle Scholar
  26. 26.
    Marini, J. J. Evolving concepts in the ventilatory management of acute respiratory distress syndrome. Clin. Chest Med. 17:555–575, 1996.CrossRefPubMedGoogle Scholar
  27. 27.
    Mehta, S., J. Granton, R. J. MacDonald, D. Bowman, A. Matte-Martyn, T. Bachman, T. Smith, and T. E. Stewart. High-frequency oscillatory ventilation in adults: the Toronto experience. Chest 126:518–527, 2004.CrossRefPubMedGoogle Scholar
  28. 28.
    Moganasundram, S., A. Durward, S. M. Tibby, and I. A. Murdoch. High-frequency oscillation in adolescents. Br. J. Anaesth. 88:708–711, 2002.CrossRefPubMedGoogle Scholar
  29. 29.
    Nagels, M. A., and J. E. Cater. Large eddy simulation of high frequency oscillating flow in an asymmetric branching airway model. Med. Eng. Phys. 31:1148–1153, 2009.CrossRefPubMedGoogle Scholar
  30. 30.
    Ottino, J. M. The Kinematics of Mixing: Stretching, Chaos and Transport. Cambridge: Cambridge University Press, 1989.Google Scholar
  31. 31.
    Roberts, E. P. L. Unsteady Flow and Mixing in Baffled Channels. PhD thesis, Department of Chemical Engineering, University of Cambridge, UK, 1992.Google Scholar
  32. 32.
    Roberts, E. P. L., and M. R. Mackley. The simulation of stretch rates for the quantitative prediction and mapping of mixing within a channel flow. Chem. Eng. Sci. 50:3727–3746, 1995.CrossRefGoogle Scholar
  33. 33.
    Saric, W. S. Gőrtler vortices. Annu. Rev. Fluid Mech. 26:379, 1994.Google Scholar
  34. 34.
    Tanaka, G., T. Ogata, K. Oka, and K. Tanishita. Spatial and temporal variation of secondary flow during oscillatory flow in model human central airways. J. Biomech. Eng. 121:565–573, 1999.CrossRefPubMedGoogle Scholar
  35. 35.
    Tawhai, M. H., P. J. Hunter, J. Tschirren, J. Reinhardt, G. McLennan, and E. A. Hoffman. CT-based geometry analysis and finite element models of the human and ovine bronchial tree. J. Appl. Physiol. 97:2310–2321, 2004.CrossRefPubMedGoogle Scholar
  36. 36.
    Tawhai, M. H., A. J. Pullan, and P. J. Hunter. Generation of an anatomically based three-dimensional model of the conducting airways. Ann. Biomed. Eng. 28:793–802, 2000.CrossRefGoogle Scholar
  37. 37.
    Tremblay, L. N., and A. S. Slutsky. Ventilator-induced lung injury: from the bench to the bedside. Intensive Care Med. 32:24–33, 2006.CrossRefPubMedGoogle Scholar
  38. 38.
    Vignon-Clementel, I. E., C. A. Figueroa, K. E. Jansen, and C. A. Taylor. Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput. Methods Appl. Mech. Eng. 195:3776–3796, 2006.CrossRefGoogle Scholar
  39. 39.
    Vreman, A. An eddy-viscosity subgrid-scale model for turbulent shear flow: algebraic theory and applications. Phys. Fluids 16(10):3670–3681, 2004.CrossRefGoogle Scholar
  40. 40.
    Womersley, J. R. Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J. Physiol. 127:553–563, 1955.PubMedGoogle Scholar
  41. 41.
    Xia, G., M. H. Tawhai, E. A. Hoffman, and C.-L. Lin. Airway wall stiffness and peak wall shear stress: a fluid-structure interaction study in rigid and compliant airways. Ann. Biomed. Eng. 38(5):1836–1853, 2010.CrossRefPubMedGoogle Scholar
  42. 42.
    Yin, Y., J. Choi, E. A. Hoffman, M. H. Tawhai, and C.-L. Lin. Simulation of pulmonary air flow with a subject-specific boundary condition. J. Biomech. 2010. doi:10.1016/j.jbiomech.2010.03.048.
  43. 43.
    Yin, Y., E. A. Hoffman, and C.-L. Lin. Mass preserving nonrigid registration of CT lung images using cubic B-spline. Med. Phys. 36:4213–4222, 2009.CrossRefPubMedGoogle Scholar
  44. 44.
    Zhang, Z., and C. Kleinstreuer. Transient airflow structures and particle transport in a sequentially branching lung airway model. Phys. Fluids 14:862–880, 2002.CrossRefGoogle Scholar
  45. 45.
    Zhao, Y., and B. B. Lieber. Steady expiratory flow in a model symmetric bifurcation. J. Biomech. Eng. 116:318–323, 1994.CrossRefPubMedGoogle Scholar

Copyright information

© Biomedical Engineering Society 2010

Authors and Affiliations

  • Jiwoong Choi
    • 1
    • 2
  • Guohua Xia
    • 1
    • 2
  • Merryn H. Tawhai
    • 6
  • Eric A. Hoffman
    • 3
    • 4
    • 5
  • Ching-Long Lin
    • 1
    • 2
  1. 1.Department of Mechanical and Industrial EngineeringThe University of IowaIowa CityUSA
  2. 2.IIHR-Hydroscience and EngineeringThe University of IowaIowa CityUSA
  3. 3.Department of Biomedical EngineeringThe University of IowaIowa CityUSA
  4. 4.Department of MedicineThe University of IowaIowa CityUSA
  5. 5.Department of RadiologyThe University of IowaIowa CityUSA
  6. 6.Bioengineering InstituteThe University of AucklandAucklandNew Zealand

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