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Technical Brief

A Lagrangian Approach for Calculating Microsphere Deposition in a One-Dimensional Lung-Airway Model

[+] Author and Article Information
Mayank Vaish

Department of Mechanical and Aerospace Engineering, North Carolina State University,
Raleigh, NC 27695

Clement Kleinstreuer

Department of Mechanical and Aerospace Engineering,
North Carolina State University,
Campus Box 7910, EB-III 4164,
Raleigh, NC 27695
Joint UNC-NCSU Department of Biomedical Engineering,
North Carolina State University,
Raleigh, NC 27695
e-mail: ck@ncsu.edu

1Corresponding author.

Manuscript received November 9, 2014; final manuscript received June 23, 2015; published online July 14, 2015. Assoc. Editor: Naomi Chesler.

J Biomech Eng 137(9), 094502 (Sep 01, 2015) (4 pages) Paper No: BIO-14-1557; doi: 10.1115/1.4030977 History: Received November 09, 2014; Revised June 23, 2015; Online July 14, 2015

Using the open-source software openfoam as the solver, a novel approach to calculate microsphere transport and deposition in a 1D human lung-equivalent trumpet model (TM) is presented. Specifically, for particle deposition in a nonlinear trumpetlike configuration a new radial force has been developed which, along with the regular drag force, generates particle trajectories toward the wall. The new semi-empirical force is a function of any given inlet volumetric flow rate, micron-particle diameter, and lung volume. Particle-deposition fractions (DFs) in the size range from 2 μm to 10 μm are in agreement with experimental datasets for different laminar and turbulent inhalation flow rates as well as total volumes. Typical run times on a single processor workstation to obtain actual total deposition results at comparable accuracy are 200 times less than that for an idealized whole-lung geometry (i.e., a 3D–1D model with airways up to 23rd generation in single-path only).

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Figures

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Fig. 1

(a) One-dimensional TM schematic and (b) normalized axial airflow profiles

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Fig. 2

Particle DF at 30 l/min and 15 l/min

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Fig. 3

Particle DF at 15 l/min and tidal volume of 500 ml and 1000 ml

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Fig. 4

Particle DF at 15 l/min and total lung volume of 4000 ml and 3000 ml

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