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Simulation of Air Flow along Human Lung for Cylindrical Channel of Porous Medium

American Journal of Computational Mathematics 2024年第2期14卷 189-202页

作者： Sadiya Akhter mahtab uddin ahmmed Department of Quantitative Sciences International University of Business Agriculture and Technology Dhaka Bangladesh Department of Mathematics Jahangirnagar University Dhaka Bangladesh

The steady flow behavior in terminal bronchus of human lung for cylindrical channel of porous medium has been studied. The governing equations have been solved analytically and numerically for cylindrical channel. Finite difference method is incorporated to simulate the problem. The numerical results are compared with square duct channel for different parametric effect. It is observed that the flow rate is increased in cylindrical channel compared to square duct channel for the increasing value of pressure gradient, porosity and permeability. On the contrary, the flow rate is decreased in square duct channel compared to cylindrical channel for increasing value of viscosity. Flow rate in both channels is analyzed and compared for non-porous medium also. It is observed that flow rate is increased very high in cylindrical channel compared to square duct channel for both medium.

关键词： Human Lung Cylindrical Channel Square Duct Channel Terminal Bronchus Porosity

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A Numerical Simulation of Air Flow in the Human Respiratory System Based on Lung Model

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Journal of Applied Mathematics and Physics 2023年第8期11卷 2205-2215页

作者： Md. Kamrul Hasan mahtab U. ahmmed Md. Samsul Arefin Department of Mathematics Khulna University of Engineering and Technology Khulna Bangladesh Department of Mathematics Jahangirnagar University Dhaka Bangladesh

The lung is an important organ that takes part in the gas exchange process. In the study of gas transport and exchange in the human respiratory system, the complicated process of advection and diffusion (AD) in airways of human lungs is considered. The basis of a lumped parameter model or a transport equation is modeled during the inspiration process, when oxygen enters into the human lung channel. The quantitative measurements of oxygen are detached and the model equation is solved numerically by explicit finite difference schemes. Numerical simulations were made for natural breathing conditions or normal breathing conditions. The respiratory flow results for the resting conditions are found strongly dependent on the AD effect with some contribution of the unsteadiness effect. The contour of the flow rate region is labeled and AD effects are compared with the variation of small intervals of time for a constant velocity when breathing is interrupted for a negligible moment.

关键词： Lumped Model Lumped Model Channel Mass Flow Rate Ideal Law of Gas 2D Advection Diffusion Equation Finite Difference Scheme

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