Mathematical modelling of mucus transport in diseased airways: effects of airway constriction and mucus viscosity
P. Kumar, K. Shekhar, A. P. Tyagi
Abstract: In this paper, a coaxial flow of air and mucus in a circular tube under a time-dependent pressure gradient function is modelled to study mucus transport in the diseased airway. It is assumed that moist air and mucus flow under quasi-steady-state laminar conditions caused by prolonged mild cough. Furthermore, it is assumed that the serous layer thickness is negligible, the constriction attaches to the wall and penetrates into the mucus layer, and the constriction of the diseased airway, due to smooth muscle tightening, affects mucus viscosity. The analysis and approximate results demonstrate that mucus transport decreases in a constricted airway as the size of the constriction increases. Additionally, it is shown that the airflow rate and mucus flow rate are affected by the mucus viscosity in the constricted airway.
Series on Biomechanics, Vol.37, No.4 (2023), 39-46
Keywords: constriction; mucus transport; prolonged mild cough; Quasi-steady state
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| Date published: 2023-11-28
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