Simulation of Air Flow along Human Lung for Cylindrical Channel of Porous Medium
- 1 Department of Quantitative Sciences, International University of Business Agriculture and Technology, Dhaka, Bangladesh
- 2 Department of Mathematics, Jahangirnagar University, Dhaka, Bangladesh
Abstract
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.
- Calay, R.K., Kurujareon, J. and Holdo, A.E. (200) Numerical Simulation of Respiratory Flow Patterns within Human Lung. Respiratory Physiology & Neurobiology , 130, 201-221. https://doi.org/10.1016/S0034-5687(01)00337-1
- Freitas, R.K. and Schroder, W. (2008) Numerical Investigation of the Three-Dimensional Flow in a Human Lung Model. Journal of Biomechanics , 41, 2446-2457. https://doi.org/10.1016/j.jbiomech.2008.05.016
- Liu, Y., So, R.M.C. and Zhang, C.H. (2003) Modeling the Bifurcating Flow in an Asymmetric Human Lung Airway. Journal of Biomechanics , 36, 951-959. https://doi.org/10.1016/S0021-9290(03)00064-2
- Hirahara, H., Iwazaki, K., Ahmmed, M.U. and Nakamura, M. (2011) Numerical Analysis of Air Flow in Dichotomous Respiratory Channel with Asymmetric Compliance under HFOV Condition. Journal of Fluid Science and Technology , 6, 932-948. https://doi.org/10.1299/jfst.6.932
- Akhter, S. and Ahmmed, M. (2022) Study on Flow Behavior in Terminal Bronchus of Human Lung for Porous Medium. Journal of Bangladesh Mathematical Society , 42, 69-80. https://doi.org/10.3329/ganit.v42i1.61001
- Kuwahara, F., Sano, Y., Liu, J.J. and Nakayama, A. (2009) A Porous Media Approach for Bifurcating Flow and Mass Transfer in a Human Lung. Journal of Heat Transfer , 131, 1013-1024. https://doi.org/10.1115/1.3180699
- DeGroot, C.T. and Straatman, A.G. (2012) Towards a Porous Media Model of the Human Lung. 4 th International Conference on Porous Media and Its Applications , 1453, 69-74. https://doi.org/10.1063/1.4711155
- DeGroot, C.T. and Straatman, A.G. (2018) A Porous Media Model of Alveolar Duct Flow in the Human Lung. Journal of Porous Media , 21, 405-422. https://doi.org/10.1615/JPorMedia.v21.i5.20
- Tang, H.T. and Fung, Y.C. (1975) Fluid Movement in a Channel with Permeable Walls Covered by Porous Media. Journal of Applied Mechanics , 42, 45-50. https://doi.org/10.1115/1.3423551
- Leontiev, A.I., Zditovets, A.G., Kiselev, N.A., Vinogradov, Yu.A. and Strongin, M.M. (2019) Experimental Investigation of Energy (Temperature) Separation of a High Velocity Air Flow in a Cylindrical Channel with a Permeable Wall. Exper i mental Thermal and Fluid Science , 105, 206-215. https://doi.org/10.1016/j.expthermflusci.2019.04.002
- Heidarinejad, G., Roozbahani, M.H. and Heidarinejad, M. (2019) Studying Airflow Structures in Periodic Cylindrical Hills of Human Tracheal Cartilaginous Rings. Respiratory Physiology & Neurobiology , 266, 103-114. https://doi.org/10.1016/j.resp.2019.04.012