Abstract

In this study heat transfer effects on cilia induced mucus flow in human airways is presented. The elliptic wave pattern of cilia tips produces metachronal wave which enables the transportation of highly viscous mucus with nonzero inertial forces. Upper Convective Maxwell model is considered as mucus. The governing partial differential equations are transformed from the fixed frame to the wave frame by using Galilean transformation and viscous dissipation is also incorporated in the energy equation. The non-linear governing equations are evaluated by the perturbation technique by using software “MATHEMATICA” and pressure rise is computed by numerical integration. The impact of interested parameters on temperature profile, velocity, pressure rise and pressure gradient are plotted by the graphs. The comparison of velocities due to symplectic and antiplectic metachronal wave are also achieved graphically.

Highlights

  • Due to the presence of toxic chemicals, dust particles, pathogens and viruses in inhaled air, lungs are abnormally resistant to environmental injury

  • Lee et al [2] studied the muco-ciliary transport by considering the Newtonian fluid model in both PCL and mucus layers and investigated the factors affecting this transportation and underlying the diseases related to respiratory tract due to defects in ciliary systems such as cystic fibrosis

  • In this research mathematical model has been developed for cilia induced mucus flow in human respiratory system with the effect of heat transfer at moderate Reynolds

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Summary

Introduction

Due to the presence of toxic chemicals, dust particles, pathogens and viruses in inhaled air, lungs are abnormally resistant to environmental injury. Discussed the effect of temperature difference on ciliated epithelium present in the respiratory tract and found that by the modification of temperature (temperature gradient) cilia beat frequency can be regulated for the increase velocity of ciliary tips required for the muco ciliary clearance. No one has described the inertial and thermal effects on the mucus flow (Maxwell fluid model) due to the ciliary activity which is beneficial for the muco ciliary clearance required for the normal functioning of lungs. In the last section results are summarized with critical observation

Mathematical model
Perturbation solutions for velocity profile
First Order SYSTEM
Graphical results and discussion
Conclusions
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