Bulletin of Pure and Applied Sciences
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Dispersion of Solute With Chemical Reaction in Blood Flow

1Department of Mathematics,Annamalai University,Annamalainagar, Tamil Nadu608002, India

2Mathematics Section, Faculty of Engineering and Technology, Annamalai University, Annamalainagar, Chidambaram, Tamil Nadu608002, India.Department of Mathematics,PeriyarGovt.ArtsCollege,Cuddalore607001,India

*R. VijayaKumar, Mathematics Section, Faculty of Engineering and Technology, Annamalai University, Annamalainagar, Chidambaram, Tamil Nadu 608002, India. E-mail: rathirath_viji@yahoo.co.in

** E-mail:nirmalapasala@yahoo.̱co.̱in

Abstract

A mathematical model is developed to study the influence of an externally applied magnetic field and chemical reaction on the flow characteristics of blood in the presence of mild stenosis. The equations of momentum are solved under appropriate boundary conditions using Hankel transform. Taylor’s dispersion model [17] is used to obtain dispersion of solute in blood flow. The effects of various parameters entering into the problems are discussed numerically and explained graphically.

Keywords

Chemical reaction, magnetic field, Taylor dispersion model, 76S05, 76W05, 76D05