NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2019, 10 (3), P. 235–242
Effect of periodic permeability of lung airways on the flow dynamics of viscous fluid
J. Kori – Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand, India; firstname.lastname@example.org
Pratibha – Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand, India
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand, India
In this study, we aimed to find the effect of periodic permeability on the flow dynamics of an incompressible, Newtonian, viscous and pulsatile flow of air flowing through airway generations 5–10. To solve this problem, we used a generalized Navier Stokes equation by including the Darcy law of a porous media with periodic permeability for the flow of air and Newton equation of motion for the flow of nanoparticles. The finite difference explicit numerical scheme has been carried out to solve the governing nonlinear equations and then computational work is done on MATLAB R2016 by user defined code. After performing numerical computation we found by varying mean permeability of porous media velocity of air and particle increased gradually with axial and radial distance respectively.
Keywords: lung generation, deposition, periodic permeability, pulsatile flow, nanoparticle.