Open AccessUnsteady solute dispersion in blood rheology with reversible phase exchange at the artery wall
Author(s) -
D. S. Sankar,
Nurul Aini Jaafar,
Yazariah Mohd Yatim
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i2.11527
Subject(s) - partition coefficient , dispersion (optics) , diffusion , blood flow , mechanics , convection , materials science , rheology , thermodynamics , phase (matter) , flow (mathematics) , chemistry , physics , cardiology , medicine , chromatography , organic chemistry , optics
The effect of reversible phase exchange between the flowing fluid and wall tissues of arteries in the unsteady dispersion of solute in blood flow through a narrow artery is analysed mathematically, modelling the blood as Casson fluid. The resulting convective diffusion equation along with the initial and boundary conditions is solved analytically using the derivative series expansion method. The expressions for the negative asymptotic phase exchange, negative asymptotic convection, longitudinal diffusion coefficient and mean concentration are obtained. It is noted that when the solute disperses in blood flow through a narrow artery, the negative exchange coefficient, the negative convection coefficient increase and the longitudinal diffusion coefficient decreases with the increase of the Damköhler number and partition coefficient.