There are various lung diseases, such as chronic obstructive pulmonary disease, asthma, fibrosis, emphysema etc., occurred due to deposition of different shape and size particles. Among them we focused on flow dynamics of viscous air through an emphysemic lung. We considered lung as a porous medium and porosity is a function of tidal volume. Two dimensional generalized equation of momentum is used to study the flow of air and equation of motion is used to study the flow of nanoparticles of elongated shape. Darcy term for flow in porous media and shape factor for nonspherical nanoparticles are used in mathematical model. Finite difference technique is used to solve the governing equation numerically. Various parameters such as inlet Reynolds number, media porosity, Darcy number, breathing rate and particle shape factor are found on flow dynamics. Results demonstrated that during inhalation, breathing stress increases and the deposition of particles is smaller due to the rupture alveoli in an emphysematous lung as compared to healthy lung.
Kori, Jyoti and _, Pratibha
Two Dimensional Mathematical Study of Flow Dynamics Through Emphysemic Lung,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
1, Article 19.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss1/19