Effect of Periodic Permeability of Lung Tissue on Fluid Velocity and Nonspherical Nanoparticle Filtration

  • Jyoti KoriEmail author
  • Pratibha
Original Paper


Nonspherical nanoparticles are toxic and extremely hazardous to human health. If these particles are inhaled, it will either deposit in throat and primer airways or flow with the air stream for a long time and cause various lung diseases such as bronchitis, emphysema, chronic obstructive pulmonary disease and asthma etc. To analyze the flow of these particles through lung we considered periodic permeability of lung and calculated filtration efficiency of lung under oscillatory boundary condition. We used generalized Navier–Stokes equation for flow dynamics of air and Newton equation of motion for flow dynamics of particles. Filtration efficiency of lung is also calculated for needle prolate particles at different value of mean permeability of porous lung. Finite difference numerical scheme is used to solve the nonlinear differential equations and MATLAB is used to find the solution computationally at very fine grid. Effect of mean permeability of media, aspect ratio of particle, Reynolds number, frequency of oscillation are analyzed on the flow of air and particles. Result shows that the filtration efficiency varies inversely with the value of mean permeability of porous lung.


Deposition Filtration Mean permeability of media Nanoparticle Periodic permeability Shape factor 



The author, Jyoti Kori, is thankful to MHRD (Grant Code:- MHR-02-23-200-44) India for providing fund and support while writing this manuscript.


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Copyright information

© Springer Nature India Private Limited 2019

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Technology RoorkeeRoorkeeIndia

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