Title :
A mathematical model of two layered magnetic fluid through a catheterized artery
Author :
Vidya, K. ; Neeraja ; Dinesh, P.A.
Author_Institution :
Dept. of Math., SDMIT, Ujire, India
Abstract :
A two phase magnetic fluid model of blood has been investigated through a catherterized artery. To account for the hematocrit and peripheral layer, blood has been represented by a two-layered macroscopic model consisting of a core region of suspension of all the erythrocytes assumed to be a particle-fluid suspension (i.e. a suspension of erythrhocytes in plasma) and a peripheral layer of plasma (Newtonian fluid). The expression for the plasma velocity, erythrocyte velocity and volumetric flow has been derived. The qualitative and quantitative analysis has been made for the flow characteristics with the existing models.
Keywords :
blood; blood vessels; catheters; cellular biophysics; confined flow; haemodynamics; magnetohydrodynamics; suspensions; two-phase flow; Newtonian fluid; blood; catheterized artery; erythrocyte velocity; hematocrit layer; particle-fluid suspension; peripheral layer; plasma velocity; two layered magnetic fluid model; two phase magnetic fluid model; volumetric flow characteristics; Cauterized artery; Erythrocytes; Plasma; peripheral layer;
Conference_Titel :
Research & Technology in the Coming Decades (CRT 2013), National Conference on Challenges in
Conference_Location :
Ujire
Electronic_ISBN :
978-1-84919-868-4
DOI :
10.1049/cp.2013.2561
