Open AccessA Preliminary Study of Oxygen Transport from Capillary to Tissue using Finite Difference Method
Author(s) -
Ritesh Singh Dangwal
Publication year - 2021
Publication title -
international journal for research in applied science and engineering technology
Language(s) - English
Resource type - Journals
ISSN - 2321-9653
DOI - 10.22214/ijraset.2021.35928
Subject(s) - porous medium , mechanics , oxygen transport , diffusion , capillary action , mass transfer , finite difference method , advection , finite difference , flow (mathematics) , oxygen , thermodynamics , steady state (chemistry) , mass transfer coefficient , materials science , chemistry , physics , porosity , mathematics , mathematical analysis , organic chemistry , composite material
In this study, Finite Difference Method is used to examine oxygen transport from blood capillary to tissue. Tissue is modelled as porous media and oxygen rich blood is transported throughout the tissue from the blood vessel by advection and diffusion. Uniform consumption by tissue is considered for simplicity. Steady state flow patterns and concentration contours are discussed. A simplistic 2-D model was created after reviewing the literature. The model considers interlinkage of capillaries. Stream Function-Vorticity formulation coupled with advection-diffusion equation are solved simultaneously to evaluate velocities and concentration values in the domain. This report focuses on the how various parameters affect flow and mass transfer inside a porous media. Effect of various non dimensional parameters like Darcy number and non-dimensional absorption coefficient are discussed.