Mathematical analysis of two-phase blood flow through a stenosed curved artery with hematocrit and temperature dependent viscosity

Abstract

A two-phase blood flow model is considered to analyze the fluid flow and heat transfer in a curved tube with time-variant stenosis. In both core and plasma regions, the variable viscosity model ( Hematocrit and non linear temperature-dependent, respectively) is considered. A toroidal coordinate system is considered to describe the governing equations. The perturbation technique in terms of perturbation parameter ε is used to obtain the temperature profile of blood flow. In order to find the velocity, wall shear stress and impedance profiles, a second-order finite difference method is employed with the accuracy of 10−6 in the each iteration. Under the conditions of fully-developed flow and mild stenosis, the significance of various physical parameters on the blood velocity, temperature, wall shear stress (WSS) and impedance are investigated with the help of graphs. A validation of our results has been presented and comparison has been made with the previously published work and present study, and it revels the good agreement with published work. The present mathematical study suggested that arterial curvature increase the fear of deposition of plaque (atherosclerosis), while, the use of thermal radiation in heat therapies lowers this risk. The positive add in the value of λ1 causes to increase in plasma viscosity; as a result, blood flow velocity in the stenosed artery decreases due to the assumption of temperature-dependent viscosity of the plasma region. Clinical researchers and biologists can adopt the present mathematical study to lower the risk of lipid deposition, predict cardiovascular disease risk and current state of disease by understanding the symptomatic spectrum, and then diagnose patients based on the risk.

Roll of Newtonian and Non-Newtonian Motion in Analysis of Two-Phase Hepatic Blood Flow in Artery during Jaundice

“…e elasticity on the stenosis arterial walls is simulated by Rubinow and Keller model and the Mazumdar model [47]. Kumawat et al [22] mathematically analyze two-phase blood flow through a stenosed curved artery with hematocrit and temperature dependent viscosity [22].…”

“…ey also used the drift-flux model which defines the behavior of the model like the resistance of the flow and also use the different types of parameters. Kumawat et al [22] mathematically analyze two-phase blood flow through a stenosed curved artery with hematocrit and temperature dependent viscosity [22]. A patient-specific artery geometry in the presence of stenosis (plaque) was considered.…”

Non-Newtonian Effects of Blood Flow on Hemodynamics in Pulmonary Stenosis: Numerical Simulation

“…A lot of work claimed that the blood flow problem had dual behavior, namely, Newtonian and non-Newtonian. Under different fluid models, the effects of vessel wall elasticity, fluid flow and heat transfer, and blood pulsation on particle transport and deposition were studied [16][17][18][19]. As well known, blood is composed of blood cells and plasma, which is usually approximate to Newtonian fluid.…”

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).…”