Skip navigation
Please use this identifier to cite or link to this item:
Title: Effect of first order chemical reactions on the dispersion coefficient associated with laminar flow through fibrosis affected lung
Authors: Kori J.
Published in: Journal of Biomechanics
Abstract: In this paper, we worked on the effective area average concentration and dispersion coefficient associated with the unsteady flow, to understand the dispersion in the fibrosis-affected lung. We assumed that the tube wall (i.e. alveolar or pulmonary capillary wall) is thicker than its normal size due to fibrosis and chemical species may go through linear first-order kinetic reactions, one is reversible phase exchange with the wall material and other is irreversible absorption into the tube wall. By considering diffusivity as a function of thickness, the dispersion can be calculated by the distribution of concentration of gas along a tube. Mathematical modeling is done by using diffusion equation; and effects of various dimensionless parameters e.g., the Damkohler number (DA), phase partitioning number (α), dimensionless absorption number (Γ), thickness and permeability of wall are observed. Numerical simulation shows that the diffusion rate through the respiratory wall is decreased significantly as the thickness of wall increases, while it increased with the increment in the porosity of wall, the concentration of species increased when the tube wall thickness increases; which cause reduction in the spread of the species; additionally, the dispersion coefficient achieves the steady-state values in a very short time when 0 < DA ⩽1 and absorption rate < 1, while for 1 < DA ⩽20 and absorption rate = 1 long time dispersion is achieved. © 2019 Elsevier Ltd
Citation: Journal of Biomechanics (2019), (): -
Issue Date: 2019
Publisher: Elsevier Ltd
Keywords: Chemical reaction on boundary wall
Gas-blood barrier
Lung disease
Short time dispersion
Taylor dispersion
ISSN: 219290
Author Scopus IDs: 57203537178
Author Affiliations: Kori, J., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India
Pratibha, Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India
Funding Details: The author, Jyoti Kori, is thankful to Ministry of Human Resource Development (Grant Code:- MHR-02-23-200-44 ) India for providing fund and support while writing this manuscript.
Corresponding Author: Kori, J.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email:
Appears in Collections:Journal Publications [MA]

Files in This Item:
There are no files associated with this item.
Show full item record

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.