Abstract
In order to achieve both manageable simulation and local accuracy of airflow and nanoparticle deposition in a representative human tracheobronchial (TB) region, the complex airway network was decomposed into adjustable triple-bifurcation units, spreading axially and laterally. Given Q in = 15 and 30 L/min and a realistic inlet velocity profile, the experimentally validated computer simulation model provided some interesting 3-D airflow patterns, i.e., for each TB-unit they depend on the upstream condition, local geometry and local Reynolds number. Directly coupled to the local airflow fields are the convective-diffusive transport and deposition of nanoparticles, i.e., 1 nm ≤ d p ≤ 100 nm. The CFD modeling predictions were compared to experimental observations as well as analytical modeling results. The CFD-simulated TB deposition values agree astonishingly well with analytical modeling results. However, measurable differences can be observed for bifurcation-by-bifurcation deposition fractions obtained with these two different approaches due to the effects of more realistic inlet conditions and geometric features incorporated in the CFD model. Specifically, while the difference between the total TB deposition fraction (DF) is less than 16%, it may be up to 70% for bifurcation-by-bifurcation DFs. In addition, it was found that fully developed flow and uniform nanoparticle concentrations can be assumed beyond generation G12. For nanoparticles with d p > 10 nm, the geometric effects, including daughter-branch rotation, are minor. Furthermore, the deposition efficiencies at each individual bifurcation in the TB region can be well correlated as a function of an effective diffusion parameter.
Similar content being viewed by others
References
Asgharian B., and S. Anjilvel. A Monte-Carlo calculation of the deposition efficiency of inhaled particles in lower airways. J. Aerosol Sci. 25: 711–721, 1994. doi:10.1016/0021-8502(94)90012-4.
Asgharian B., W. Hofman, and R. Bergmann. Particle deposition in a multiple-path model of the human lung. Aerosol Sci. Technol. 34: 332–39, 2001.
Asgharian B., M. G. Menache, and F. J. Miller. Modeling age-related particle deposition in humans. Journal of Aerosol Medicine-Deposition Clearance and Effects in the Lung 17: 213–24, 2004.
Balashazy I., and W. Hofmann. Particle deposition in airway bifurcations.1. Inspiratory flow. J. Aerosol Sci. 24: 745–772, 1993. doi:10.1016/0021-8502(93)90044-A.
Balashazy I., and W. Hofmann. Deposition of aerosols in asymmetric airway bifurcations. J. Aerosol Sci. 26: 273–292, 1995. doi:10.1016/0021-8502(94)00106-9.
Cheng K. H., Y. S. Cheng, H. C. Yeh, R. A. Guilmette, S. Q. Simpson, Y. H. Yang, and D. L. Swift. In vivo measurements of nasal airway dimensions and ultrafine aerosol deposition in the human nasal and oral airways. J. Aerosol Sci. 27: 785–801, 1996. doi:10.1016/0021-8502(96)00029-8.
Cheng K. H., Y. S. Cheng, H. C. Yeh, and D. L. Swift. Deposition of ultrafine aerosols in the head airways during natural breathing and during simulated breath-holding using replicate human upper airway casts. Aerosol Sci. Technol. 23: 465–474, 1995. doi:10.1080/02786829508965329.
Cheng K. H., Y. S. Cheng, H. C. Yeh, and D. L. Swift. An experimental method for measuring aerosol deposition efficiency in the human oral airway. American Industrial Hygiene Association Journal 58: 207–213, 1997. doi:10.1080/15428119791012856.
Cheng K. H., Y. S. Cheng, H. C. Yeh, and D. L. Swift. Measurements of airway dimensions and calculation of mass transfer characteristics of the human oral passage. Journal of Biomechanical Engineering-Transactions of the Asme 119: 476–482, 1997. doi:10.1115/1.2798296.
Cheng Y. S., Y. Yamada, H. C. Yeh, and D. L. Swift. Diffusional deposition of ultrafine aerosols in a human nasal cast. J. Aerosol Sci. 19: 741–751, 1988. doi:10.1016/0021-8502(88)90009-2.
Choi J. I., and C. S. Kim. Mathematical analysis of particle deposition in human lungs: an improved single path transport model. Inhal. Toxicol. 19: 925–39, 2007. doi:10.1080/08958370701513014.
Clift, R., J. R. Grace, and M. E. Weber. Bubbles, Drops, and Particles, NY: Academic Press, 1978.
Cohen B. S., R. G. Sussman, and M. Lippmann. Ultrafine particle deposition in a human tracheobronchial cast. Aerosol Sci. Technol. 12: 1082–1091, 1990. doi:10.1080/02786829008959418.
Comer J. K., C. Kleinstreuer, and Z. Zhang. Flow structures and particle deposition patterns in double-bifurcation airway models. Part 1. Air flow fields. Journal of Fluid Mechanics 435: 25–54, 2001.
Daigle C. C., D. C. Chalupa, F. R. Gibb, P. E. Morrow, G. Oberdorster, M. J. Utell, M. W. Frampton. Ultrafine particle deposition in humans during rest and exercise. Inhal. Toxicol. 15: 539–552, 2003. doi:10.1080/08958370304468.
Finlay, W. H. The Mechanics of Inhaled Pharmaceutical Aerosols: An Introduction. London, UK: Academic Press, 2001.
Gemci T., V. Ponyavin, Y. Chen, H. Chen, and R. Collins. Computational model of airflow in upper 17 generations of human respiratory tract. Journal of Biomechanics 41: 2047–2054, 2008. doi:10.1016/j.jbiomech.2007.12.019.
Goo J., and C. S. Kim. Theoretical analysis of particle deposition in human lungs considering stochastic variations of airway morphology. J. Aerosol Sci. 34: 585–602, 2003. doi:10.1016/S0021-8502(03)00024-7.
Hoet P., I. Brueske-Hohlfeld, O. Salata. Nanoparticles—known and unknown health risks. Journal of Nanobiotechnology 2: 12, 2004. doi:10.1186/1477-3155-2-12.
Hofmann W. Stochastic dose estimation for inhaled particulates. Stochastic Environmental Research and Risk Assessment 14: 181–93, 2000. doi:10.1007/s004770000037.
Hofmann W., B. Asgharian, and R. Winkler-Heil. Modeling intersubject variability of particle deposition in human lungs. J. Aerosol Sci. 33: 219–35, 2002. doi:10.1016/S0021-8502(01)00167-7.
Hofmann W., R. Golser, and I. Balashazy. Inspiratory deposition efficiency of ultrafine particles in a human airway bifurcation model. Aerosol Sci. Technol. 37: 988–994, 2003. doi:10.1080/02786820300898.
Ingham D. B. Diffusion of aerosols from a stream flowing through a cylindrical tube. J. Aerosol Sci. 6: 125–32, 1975. doi:10.1016/0021-8502(75)90005-1.
Kelly J. T., B. Asgharian, J. S. Kimbell, B. A. Wong. Particle deposition in human nasal airway replicas manufactured by different methods. Part II. Ultrafine particles. Aerosol Sci. Technol. 38: 1072–1079, 2004.
Kim C. S., and P. A. Jaques. Respiratory dose of inhaled ultrafine particles in healthy adults. Philosophical Transactions of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences 358: 2693–2705, 2000.
Kim C. S., and P. A. Jaques. Analysis of total respiratory deposition of inhaled ultrafine particles in adult subjects at various breathing patterns. Aerosol Sci. Technol. 38: 525–540, 2004. doi:10.1080/02786820490465513.
Kleinstreuer C., and Z. Zhang. Laminar-to-turbulent fluid-particle flows in a human airway model. International Journal of Multiphase Flow 29: 271–289, 2003. doi:10.1016/S0301-9322(02)00131-3.
Kleinstreuer, C., and Z. Zhang. An adjustable triple-bifurcation unit model for air-particle flow simulations in human tracheobronchial airways. J. Biomech. Eng., 2008 (in press).
Kleinstreuer C., Z. Zhang, and J. F. Donohue. Targeted drug-aerosol delivery in the human respiratory system. Annual Review of Biomedical Engineering 10: 195–220, 2008. doi:10.1146/annurev.bioeng.10.061807.160544.
Kleinstreuer, C., Z. Zhang, and Z. Li. Modeling airflow and particle transport/deposition in pulmonary airways. Respir. Physiol. Neurobiol., 2008. doi:10.1016/j.resp.2008.07.002.
Koblinger L., and W. Hofmann. Monte-Carlo modeling of aerosol deposition in human lungs.1. Simulation of particle-transport in a stochastic lung structure. J. Aerosol Sci. 21: 661–74, 1990. doi:10.1016/0021-8502(90)90121-D.
Longest P. W., and M. J. Oldham. Numerical and experimental deposition of fine respiratory aerosols: development of a two-phase drift flux model with near-wall velocity corrections. J. Aerosol Sci. 39: 48–70, 2008. doi:10.1016/j.jaerosci.2007.10.001.
Longest P. W., and S. Vinchurkar. Effects of mesh style and grid convergence on particle deposition in bifurcating airway models with comparisons to experimental data. Medical Engineering & Physics 29: 350–366, 2007. doi:10.1016/j.medengphy.2006.05.012.
Longest P. W., and J. X. Xi. Computational investigation of particle inertia effects on submicron aerosol deposition in the respiratory tract. J. Aerosol Sci. 38: 111–130, 2007. doi:10.1016/j.jaerosci.2006.09.007.
Longest P. W., and J. X. Xi. Effectiveness of direct lagrangian tracking models for simulating nanoparticle deposition in the upper airways. Aerosol Sci. Technol. 41: 380–397, 2007. doi:10.1080/02786820701203223.
Moskal A., and L. Gradon. Temporary and spatial deposition of aerosol particles in the upper human airways during breathing cycle. J. Aerosol Sci. 33: 1525–1539, 2002. doi:10.1016/S0021-8502(02)00108-8.
National Council on Radiation Protection and Measurements (NCRP) (1997). Deposition, Retention, and Dosimetry of Inhaled Radioactive Substances, Report No. 125, National Council on Radiation Protection and Measurements, Bethesda, MD.
National Institute for Public Health and the Environment (RIVM). Multiple Path Particle Dosimetry Model (MPPD v 1.0): A Model for Human and Rat Airway Particle Dosimetry, RIVA Report 650010030. The Netherlands: Bilthoven, 2002.
Oberdörster G., E. Oberdörster, and J. Oberdörster. Nanotoxicology: an emerging discipline evolving from studies of ultrafine particles. Environmental Health Perspectives 113: 823–839, 2005.
Roco, M. Nanotechnology’s future. Sci. Am., 2006.
Service R. F. Nanomaterials show signs of toxicity. Science 300: 243, 2003. doi:10.1126/science.300.5617.243a.
Shi H., C. Kleinstreuer, and Z. Zhang. Laminar airflow and nanoparticle or vapor deposition in a human nasal cavity model. Journal of Biomechanical Engineering-Transactions of the ASME 128: 697–706, 2006. doi:10.1115/1.2244574.
Shi H., C. Kleinstreuer, Z. Zhang, and C. S. Kim. Nanoparticle transport and deposition in bifurcating tubes with different inlet conditions. Physics of Fluids 16: 2199–2213, 2004. doi:10.1063/1.1724830.
Smith S., Y. S. Cheng, and H. C. Yeh. Deposition of ultrafine particles in human tracheobronchial airways of adults and children. Aerosol Sci. Technol. 35: 697–709, 2001. doi:10.1080/02786820152546743.
Theodore, L., and R. G. Kunz. Nanotechnology: Environmental Implications and Solutions. New York, NY: Wiley-Interscience, 2005.
Tian L., and G. Ahmadi. Particle deposition in turbulent duct flows—comparisons of different model predictions. J. Aerosol Sci. 38: 377–397, 2007. doi:10.1016/j.jaerosci.2006.12.003.
Varghese S. S., and S. H. Frankel. Numerical modeling of pulsatile turbulent flow in stenotic vessels. Journal of Biomechanical Engineering-Transactions of the Asme 125: 445–460, 2003. doi:10.1115/1.1589774.
Weibel E. R. Morphometry of the Human Lung. New York: Academic Press, 1963.
Wilcox D. C. Turbulence Modeling for CFD. LA Canada, CA: DCW Industries, Inc., 1998.
Xi J. X., and P. W. Longest. Effects of oral airway geometry characteristics on the diffusional deposition of inhaled nanoparticles. Journal of Biomechanical Engineering—Trans of the ASME 130: 011008, 2008.
Yu G., Z. Zhang, and R. Lessmann. Computer simulation of the flow field and particle deposition by diffusion in a 3-D human airway bifurcation. Aerosol Sci. Technol. 25: 338–352, 1996. doi:10.1080/02786829608965400.
Yu G., Z. Zhang, and R. Lessmann. Fluid flow and particle diffusion in the human upper respiratory system. Aerosol Sci. Technol. 28: 146–158, 1998. doi:10.1080/02786829808965517.
Zamankhan P., G. Ahmadi, Z. C. Wang, P. K. Hopke, Y. S. Cheng, W. C. Su, and D. Leonard. Airflow and deposition of nano-particles in a human nasal cavity. Aerosol Sci. Technol. 40: 463–476, 2006. doi:10.1080/02786820600660903.
Zhang Z., and C. Kleinstreuer. Transient airflow structures and particle transport in a sequentially branching lung airway model. Physics of Fluids 14: 862–880, 2002. doi:10.1063/1.1433495.
Zhang Z., and C. Kleinstreuer. Low-Reynolds-number turbulent flows in locally constricted conduits: a comparison study. AIAA Journal 41: 831–840, 2003. doi:10.2514/2.2044.
Zhang Z., and C. Kleinstreuer. Species heat and mass transfer in a human upper airway model. International Journal of Heat and Mass Transfer 46: 4755–4768, 2003. doi:10.1016/S0017-9310(03)00358-2.
Zhang Z., and C. Kleinstreuer. Airflow structures and nano-particle deposition in a human upper airway model. Journal of Computational Physics 198: 178–210, 2004. doi:10.1016/j.jcp.2003.11.034.
Zhang Z., C. Kleinstreuer, J. F. Donohue, and C. S. Kim. Comparison of micro- and nano-size particle depositions in a human upper airway model. J. Aerosol Sci. 36: 211–233, 2005. doi:10.1016/j.jaerosci.2004.08.006.
Zhang Z., C. Kleinstreuer, and C. S. Kim. Micro-particle transport and deposition in a human oral airway model. J. Aerosol Sci. 33: 1635–1652, 2002. doi:10.1016/S0021-8502(02)00122-2.
Zhang Z., C. Kleinstreuer, and C. S. Kim. Transport and uptake of MTBE and ethanol vapors in a human upper airway model. Inhal. Toxicol. 18: 169–184, 2006. doi:10.1080/08958370500434172.
Zhang, Z., C. Kleinstreuer, and C. S. Kim. Micron particle deposition in a human 16-generation tracheobronchial airway model. J. Aerosol Sci., 2008. doi:10.1016/j.jaerosci.2008.08.003.
Acknowledgments
This effort was sponsored by the Air Force Office of Scientific Research, Air Force Material Command, USAF, under grant number FA9550-07-1-0461 (Dr. Walt Kozumbo, Program Manager), NSF Grant CBET-0834054 (Dr Marc S. Ingber, Program Director), and the US Environmental Protection Agency (Dr. C.S. Kim, Program Monitor). The U.S. Government is authorized to reproduce and distribute reprints for governmental purposes notwithstanding any copyright notation thereon. The use of both CFX software from ANSYS Inc. (Canonsburg, PA) and the IBM Linux Cluster at the High Performance Computing Center at North Carolina State University (Raleigh, NC) are gratefully acknowledged as well.
Disclaimer
The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research, the National Science Foundation, or the U.S. Environmental Protection Agency.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, Z., Kleinstreuer, C. & Kim, C.S. Airflow and Nanoparticle Deposition in a 16-Generation Tracheobronchial Airway Model. Ann Biomed Eng 36, 2095–2110 (2008). https://doi.org/10.1007/s10439-008-9583-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10439-008-9583-z