Mucus and Serous Flow in Constricted Airways under the Influence of Time Varying Pressure Gradient

  • Vikash Rana Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur, U.P, India
  • Kritika Singh Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur, U.P, India
  • V.S Verma Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur, U.P, India

Abstract

In this paper, a two layer quasi steady cylindrical model of mucus transport in a constricted airway under a time
varying pressure gradient due to cough is studied. Mucus is treated as an incompressible Newtonian fluid in this model. The impact of slip condition due to immotile cilia, which forms a porous matrix, is also incorporated into the model. The study notes that as the constriction thickness and serous viscosity increase, the mucus and serous flow rate decrease. Additionally, it is observed that the flow rate of mucus and serous increases as the slip parameter and pressure drop increase. It is also found that the mucus flow rate increases as the mucus thickness increase. The study also reveals that the mucus flow rates decrease as the mucus viscosity increases.

Published
2022-12-31
Issue
Vol 36 No 01 (2022): JOURNAL OF NATIONAL ACADEMY OF MATHEMATICS INDIA
Section
Articles

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