Mathematical Analysis on Pulsatile Flow through a Catheterized Stenosed Artery

Abstract

In this paper, the pulsatile flow of blood through an inclined catheterized stenosed artery is analyzed. Perturbation method is used to solve the implicit system of partial differential equations with suitable boundary conditions. Various analytical expressions axial velocity, flow rate, wall shear stress and effective viscosity have been derived with the help of MATLAB for understanding the fluid flow phenomena. The combined effect of catheterization, body acceleration, slip and inclination has been seen by plotting the graph and observed that axial velocity and flow rate increases with the increase in body acceleration, inclination angle and slip velocity while axial velocity diminishes on increasing the catheter radius. Wall shear stress increases with the increase in catheter radius and body acceleration but presence of slip velocity reduces the wall shear stress. Effective viscosity diminishes on increasing body acceleration and inclination angle, whereas slightly augmented in non-inclined stenosed artery.

An approach for computational blood flow under the joint effects of the electro-osmotic, magnetic field, chemical reaction and porosity

“…Many medical and physical factors are affecting blood flow, which has received great interest from researchers, especially mathematicians, to study and determine their effect on blood flow in stenosis arteries using different mathematical methods. For example, some of these factors are, the study of a stenosis artery slant from the axis at an angle, as well as the effect of the magnetic field on the flow of blood, moreover, the porosity of the medium (which is the main characteristic of the artery, to analyze the effect of different physical factors for blood flow), on the other hand, the viscosity (which is in a real physiological system, the viscosity is not constant but variable and changes either with the hematocrit ratio or depends on the pressure and temperature of the artery), also the studying of the chemical reaction for its importance in the quantitative prediction of blood flow rate and thus helps in diagnosing circulatory diseases and measuring blood glucose, for more details see (Ikbal et al , 2009; Varshney et al , 2010; Siddiqui and Geeta, 2016; Chitra and Karthikeyan, 2018; Akram et al , 2019; Abo-Elkhair et al , 2017; Coccarelli et al , 2019; Govindaraju et al , 2014; Akbar and Nadeem, 2014; Mekheimer et al , 2012; Mwapinga et al , 2020; Misra and Adhikary, 2016; Sharma et al , 2023; Kumawat et al , 2021; Ramadan et al , 2021).…”