CO-AXIAL CYLINDRICAL MODEL FOR TURBULENT AIRFLOW AND LAMINAR MUCUS FLOW IN CONSTRICTED HUMAN LUNG AIRWAYS
DOI:
https://doi.org/10.3126/jist.v31i1.84720Keywords:
Constricted airways, Immotile cilia, Porosity parameter, Quasi-steady co-axial flow, Time varying pressure gradientAbstract
In this paper, a two-layer cylindrical quasi-steady co-axial flow model is proposed to study the flow of air and mucus in the constricted human lung airways with a constant thickness of constriction influenced by a time-varying pressure gradient due to mild cough. Mucus exhibits Newtonian behavior in many pathological cases and therefore, in this paper mucus and air both are considered as incompressible Newtonian fluids. Mucus is supposed to be thicker and more viscous than air. The central core is assumed to have a quasi-steady turbulent flow of air while the surrounding mucus layer has a quasi-steady laminar flow of mucus. The model also incorporates the effect of the porosity parameter due to immotile cilia, which form a porous matrix. The study states that the flow rates of air and mucus decrease as mucus viscosity and constriction thickness increase. The study also states that the flow rates of air and mucus increase as the porosity parameter and pressure drop increase. The results obtained in this study compared with the results of various investigators working in related fields are found to be in good agreement.
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