A mathematical model of blood flow in a stenosed artery with post-stenotic dilatation and a forced field

PLoS One. 2022 Jul 1;17(7):e0266727. doi: 10.1371/journal.pone.0266727. eCollection 2022.

Abstract

Arterial stenosis is a common cardiovascular disease that restricts blood flow. A stenotic blood vessel creates tangent stress pressure, which lessens the arterial side and causes an aneurysm. The primary purpose of this study is to investigate blood flowing via an inclination pipe with stricture and expansion after stricture (widening) underneath the influence of a constant incompressible Casson liquid flowing with the magnetism field. The relations for surface shearing stress, pressure drop, flow resistance, and velocity are calculated analytically by applying a mild stenosis approximation. The effect of different physical characteristics on liquid impedance to flowing, velocity, and surface shearing stress are studied. With a non-Newtonian aspect of the Casson liquid, the surface shearing stress declines, and an impedance upturn. Side resistivity and shear-stress increase with the elevations of stricture, whilst together decreasing with a dilatation height.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Arteries*
  • Constriction, Pathologic
  • Dilatation
  • Humans
  • Models, Theoretical*
  • Stress, Mechanical

Grants and funding

This work received funding from Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R184), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia. The authors express their appreciation to the Deanship of Scientific Research at King Khalid University, Saudi Arabia, for funding this work through research groups program under grant of number R.G.P.2/276/42. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.