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A POROUS MEDIA MODEL OF ALVEOLAR DUCT FLOW IN THE HUMAN LUNG

Volume 21, Numéro 5, 2018, pp. 405-422
DOI: 10.1615/JPorMedia.v21.i5.20
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RÉSUMÉ

Prediction of air flow in the human lung is of great interest for many physiological applications. Recent advances in modeling such flows using computational fluid dynamics have included the development of porous media-based approaches that consider the small-scale airways and alveoli as a porous domain. This article presents a derivation of the governing equations relevant to flow in an alveolated duct based on the theory of volume-averaging as well as their closure. It is shown that the momentum closure problem reduces to that of a steady-state problem which is solved over a representative unit cell of an alveolated duct to predict its permeability. The modeling approach is validated against permeability predictions coming from transient simulations of flow in an expanding and contracting duct. Finally, analytical expressions for the velocity and pressure in an alveolated duct are derived and presented.

CITÉ PAR
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  2. Kori Jyoti, Pratibha , Numerical Simulation of Dusty Air Flow and Particle Deposition Inside Permeable Alveolar Duct, International Journal of Applied and Computational Mathematics, 5, 1, 2019. Crossref

  3. Kori Jyoti, Pratibha , Effect of Periodic Permeability of Lung Tissue on Fluid Velocity and Nonspherical Nanoparticle Filtration, International Journal of Applied and Computational Mathematics, 5, 3, 2019. Crossref

  4. Ren Dongcheng, Li Jiasheng, Zhou Bo, Guo Shijie, Guo Baolei, Modeling of the dynamics of vascular embolization by using porous media for the design of injection robots of embolic agents, Medical Engineering & Physics, 101, 2022. Crossref

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