International Journal of Engineering and Management Research (IJEMR)
  • Year: 2015
  • Volume: 5
  • Issue: 6

Mathematical Modelling and Analysis of Blood Flow through Diseased Blood Vessels

  • Author:
  • Sapna Ratan Shah, S.U. Siddiqui, Anuradha Singh
  • Total Page Count: 7
  • Page Number: 366 to 372

Department of Mathematics, Harcourt Butler Technological Institute, Kanpur, Uttar Pradesh, India

Online published on 21 November, 2017.

Abstract

A mathematical model is presented to steady the Casson's fluid through an inclined tube of non-uniform crosssection with multiple stenoses. The effects of various parameters on flow variables have been studied. The graphical representations have been made to validate the analytical findings with a view of its applicability to stenotic diseases. It is found that the flow of resistance increases with the height of the stenosis but decreases with the angle of inclination. It is also observed that the resistance to flow increases as viscosity of blood increases. The present study may be helpful for better understanding the flow characteristics of blood having multiple stenoses.

Keywords

Blood flow, Yield stress, Axially symmetric stenoses, Cassons fluid model, Inclined tube, Blood vessels