Effect of periodic permeability of lung airways on the flow dynamics of viscous fluid
https://doi.org/10.17586/2220-8054-2019-10-3-235-242
Abstract
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.
Supporting agencies: One of the authors, Jyoti Kori, is thankful to Ministry of Human Resource Development India (Grant Code:- MHR-02-23-200-44) for providing fund and support while writing this manuscript.
About the Authors
J. Kori
Department of Mathematics, Indian Institute of Technology Roorkee
India
India
Roorkee-247667, Uttarakhand
. Pratibha
Department of Mathematics, Indian Institute of Technology Roorkee
India
India
Roorkee-247667, Uttarakhand
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Review
For citations:
Kori J., Pratibha Effect of periodic permeability of lung airways on the flow dynamics of viscous fluid. Nanosystems: Physics, Chemistry, Mathematics. 2019;10(3):235-242. (In Russ.) https://doi.org/10.17586/2220-8054-2019-10-3-235-242
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