TITLE:
A Numerical Simulation of Air Flow in the Human Respiratory System Based on Lung Model
AUTHORS:
Md. Kamrul Hasan, Mahtab U. Ahmmed, Md. Samsul Arefin
KEYWORDS:
Lumped Model, Lumped Model Channel, Mass Flow Rate, Ideal Law of Gas, 2D Advection Diffusion Equation, Finite Difference Scheme
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.8,
August
14,
2023
ABSTRACT: The lung is an important organ that takes part in the gas exchange process. In the study of gas transport and exchange in the human respiratory system, the complicated process of advection and diffusion (AD) in airways of human lungs is considered. The basis of a lumped parameter model or a transport equation is modeled during the inspiration process, when oxygen enters into the human lung channel. The quantitative measurements of oxygen are detached and the model equation is solved numerically by explicit finite difference schemes. Numerical simulations were made for natural breathing conditions or normal breathing conditions. The respiratory flow results for the resting conditions are found strongly dependent on the AD effect with some contribution of the unsteadiness effect. The contour of the flow rate region is labeled and AD effects are compared with the variation of small intervals of time for a constant velocity when breathing is interrupted for a negligible moment.