This paper aims to investigate the numerical simulation of breathing for nanoparticle deposition of the human lung. The solid particles in the air that are passing through the human respiratory channels (considered as the 18th generation bronchial tube, which is narrow in diameter and short in length) have an impact on how our lungs exchange gases. In this study, a mathematical model within this respiratory tube of the human lung is taken into consideration. The unsteady Navier- Stokes equation is used to represent the fluid particles, and the equation of continuity is used to represent the nanoparticles. The governing equation is simulated numerically using the finite difference techniques under some assumption of axial symmetry and laminar flow, effectively reducing the problem into two dimensions. Results for velocity variation of air and dust particles have been discovered in this discussion. Effects of parameters like Reynolds number and pulse frequency have also been found. Additionally, results demonstrated that the axial velocity of fluid and particles increases with an increase in Reynolds number and frequency along both the length and diameter of the tube. Later, a comparison between fluid and particles for the velocity profile has been discussed.
| Published in | American Journal of Applied Mathematics (Volume 12, Issue 5) |
| DOI | 10.11648/j.ajam.20241205.14 |
| Page(s) | 141-148 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Human Lung, Nanoparticle Deposition, Mathematical Modelling, 18th – Generation Tube, Finite Difference Method
| [1] | A. Saini et al, "Two-dimensional model of nanoparticle deposition in the alveolar ducts of the human lung," Application of Applied Mathematics, vol. 12, pp. 305-318, 2017. |
| [2] | A. Guyton, In: Dreibelbis D (ed) Textbook of medical physiology, Saunders, Philadelphia, 1986. |
| [3] | A. Maynard, "Nanotechnology: the next big thing, or much ado about nothing?," Ann. Occup. Hyg., vol. 51, pp. 1-12, 2007. |
| [4] | H. Qiao et al, "The transport and deposition in the respiratory system by inhalation," J. Nanomaterials, pp. 1-8, 2015. |
| [5] | J. Tiwari et al, "Zero-dimensional, one dimensional, two-dimensional and three-dimensional nanostructured materials for advanced electrochemical energy devices," Progress in Materials Science, vol. 57, pp. 724-803, 2012. |
| [6] | R. Aitken et al, Nanoparticle: An Occupational Hygiene Review., Institute of Occupational Medicine for the Health and Safety Executive, 2004, pp. 1-102. |
| [7] | M. Brauer et al, "Air pollution and retained particles in the lung," Environmental Health Perspectives, vol. 109, pp. 1039-1043, 2001. |
| [8] | A. Jung et al., "The number of alveoli in the human lung," American Journal of Respiratory and Critical Care Medicine, vol. 169, pp. 120-124, 2004. |
| [9] | K. Cheng et al, "In vivo: measurements of nasal airway dimensions and ultrafine aerosol deposition in the human nasal and oral airways," J. Aerosol Science, vol. 27, pp. 785-801, 1996. |
| [10] | Y. Cheng et al, "The characteristics of beijing aerosol during two distinct episodes: impacts of biomass burning and fireworks," Environmental Pollution, vol. 185, pp. 149-157, 2014. |
| [11] | D. Tang et al, "Air pollution effects on fetal and child development: a cohort comparison in China Environmental Pollution," vol. 185, pp. 90-96, 2014. |
| [12] | K. Cheng et al., "Calculation of total deposition fraction of ultrafine aerosols in human extra thoracic and intrathoracic regions," Aerosol Science and Technology, vol. 22, pp. 194-201, 1995. |
| [13] | S. Smith et al., "Deposition of ultrafine particles in human tracheobronchial airways of adults and children," Aerosol Science and Technology, vol. 35, pp. 697-709, 2001. |
| [14] | M. Lippmann et al., "Ultrafine particle deposition in a human tracheo-bronchial cast," Aerosol Science and Technology, vol. 32, pp. 1082-1091, 1990. |
| [15] | B. Asgharian et al., "Particlr deposition in human nasal airways replicas manufactured by different methods. Part II: Ultrafine particles," Aerosol Science and Technology, vol. 38, pp. 1072-1079, 2004. |
| [16] | J. Kim et al., "Analysis of total respiratory deposition of inhaled ultrafine particles in adult subjects as various breathing patterns," Aerosol Science and Technology, vol. 38, pp. 525-540, 2004. |
| [17] | K. Rogers, The Respiratory System, New York: Britannica Educational Publishing, 2011. |
| [18] | B. Agharian et al., "Effect of fiber geometry on deposition in small air-ways of the lung," Aerososlc Iencean D Technology, vol. 4, pp. 59- 474, 1998. |
| [19] | Pratibha et al., "Numerical simulation of gas flow through a biofilter in lung tissues.," World Journal of Modelling and Simulation, vol. 11, p. 33–42, 2015. |
APA Style
Akter, R., Yasmin, N., Ahmmed, M. U. (2024). Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung. American Journal of Applied Mathematics, 12(5), 141-148. https://doi.org/10.11648/j.ajam.20241205.14
ACS Style
Akter, R.; Yasmin, N.; Ahmmed, M. U. Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung. Am. J. Appl. Math. 2024, 12(5), 141-148. doi: 10.11648/j.ajam.20241205.14
AMA Style
Akter R, Yasmin N, Ahmmed MU. Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung. Am J Appl Math. 2024;12(5):141-148. doi: 10.11648/j.ajam.20241205.14
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ajam.20241205.14,
author = {Roni Akter and Nilufar Yasmin and Mahtab Uddin Ahmmed},
title = {Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung
},
journal = {American Journal of Applied Mathematics},
volume = {12},
number = {5},
pages = {141-148},
doi = {10.11648/j.ajam.20241205.14},
url = {https://doi.org/10.11648/j.ajam.20241205.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20241205.14},
abstract = {This paper aims to investigate the numerical simulation of breathing for nanoparticle deposition of the human lung. The solid particles in the air that are passing through the human respiratory channels (considered as the 18th generation bronchial tube, which is narrow in diameter and short in length) have an impact on how our lungs exchange gases. In this study, a mathematical model within this respiratory tube of the human lung is taken into consideration. The unsteady Navier- Stokes equation is used to represent the fluid particles, and the equation of continuity is used to represent the nanoparticles. The governing equation is simulated numerically using the finite difference techniques under some assumption of axial symmetry and laminar flow, effectively reducing the problem into two dimensions. Results for velocity variation of air and dust particles have been discovered in this discussion. Effects of parameters like Reynolds number and pulse frequency have also been found. Additionally, results demonstrated that the axial velocity of fluid and particles increases with an increase in Reynolds number and frequency along both the length and diameter of the tube. Later, a comparison between fluid and particles for the velocity profile has been discussed.
},
year = {2024}
}
TY - JOUR T1 - Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung AU - Roni Akter AU - Nilufar Yasmin AU - Mahtab Uddin Ahmmed Y1 - 2024/09/26 PY - 2024 N1 - https://doi.org/10.11648/j.ajam.20241205.14 DO - 10.11648/j.ajam.20241205.14 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 141 EP - 148 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20241205.14 AB - This paper aims to investigate the numerical simulation of breathing for nanoparticle deposition of the human lung. The solid particles in the air that are passing through the human respiratory channels (considered as the 18th generation bronchial tube, which is narrow in diameter and short in length) have an impact on how our lungs exchange gases. In this study, a mathematical model within this respiratory tube of the human lung is taken into consideration. The unsteady Navier- Stokes equation is used to represent the fluid particles, and the equation of continuity is used to represent the nanoparticles. The governing equation is simulated numerically using the finite difference techniques under some assumption of axial symmetry and laminar flow, effectively reducing the problem into two dimensions. Results for velocity variation of air and dust particles have been discovered in this discussion. Effects of parameters like Reynolds number and pulse frequency have also been found. Additionally, results demonstrated that the axial velocity of fluid and particles increases with an increase in Reynolds number and frequency along both the length and diameter of the tube. Later, a comparison between fluid and particles for the velocity profile has been discussed. VL - 12 IS - 5 ER -
Department of Mathematics, Jahangirnagar University, Dhaka, Bangladesh
Department of Mathematics, Jahangirnagar University, Dhaka, Bangladesh
Department of Mathematics, Jahangirnagar University, Dhaka, Bangladesh
Information