A power-law model of blood flow through a tapered overlapping stenosed artery

Ismail, Zuhaila; Abdullah, Imran Ho; Mustapha, Norzieha; Amin, Norsarahaida

doi:10.1016/j.amc.2007.05.014

Cited by 85 publications

(60 citation statements)

References 21 publications

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“…The two types of anomaly are due to low shear and high shear effects (Chien et al, 1984). Blood behaves like a Newtonian fluid , Ismail et al, 2007, Sinha et al, 2016. When blood flows through arteries with larger diameter at high shear rates.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydro Dynamic Flow of Blood in a Permeable Inclined Stretching Surface With Viscous Dissipation, Non-Uniform Heat Source/Sink and Chemical Reaction

Reddy¹,

Reddy²,

Suneetha³

2018

Frontiers in Heat and Mass Transfer

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Present work aims to investigate the blood stream in a permeable vessel in the presence of an external magnetic field with heat and mass transfer. The instability in the coupled flow and temperature fields is considered to be produced due to the time-dependent extending velocity and the surface temperature of the vessel. The non-uniform heat source/sink effects on a chemically responded blood stream and heat viscous. This study is of potential value in the clinical healing of cardiovascular disorders accompanied by accelerated circulation. The problem is treated mathematically by reducing it to a system of joined non-linear differential equations, which have been solved by utilizing similarity transformation and boundary layer approximation. The resultant non-linear coupled ordinary differential equations are solved numerically by utilizing the fourth order Runge-Kutta method with shooting technique. Computational results are gotten for the velocity, temperature, the skin-friction coefficient, the rate of heat transfer and rate of mass transfer in the vessel. The evaluated results are compared with another analytical study reported earlier in scientific literatures. The present investigation exposes that the heat transfer rate is upgraded as the value of the unsteadiness parameter increases, but it decreases for the increment of the space reliance parameter for heat source/sink.

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Section: Introductionmentioning

confidence: 99%

Magnetohydro Dynamic Flow of Blood in a Permeable Inclined Stretching Surface With Viscous Dissipation, Non-Uniform Heat Source/Sink and Chemical Reaction

Reddy¹,

Reddy²,

Suneetha³

2018

Frontiers in Heat and Mass Transfer

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“…The catheter is moving in the axial direction with velocity v o . The geometry of the arterial wall with time-variant overlapping stenosis is defined by the function R(z,t) [6]:…”

Section: Problem Formulationmentioning

confidence: 99%

Analysis of blood flow through a catheterized stenosed artery using Mathematica

Jian

Amin²

2016

AIP Conference Proceedings

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Abstract.A mathematical analysis on blood flowing through a catheterized stenosed artery is carried out using Mathematica, where a package has been developed to solve a Newtonian model of blood flow. This package can be extended to solve and simulate other fluid models and boundary conditions. Investigation centres on the effect of inserting a catheter, which is a tube, used amongst others in patients who are bedridden and whose blood pressure needs to be measured and monitored continuously. Inserting a catheter in an artery is expected to alter some characteristics of blood flow such as velocity, the wall shear stress and the streamlines. The present model considers the catheter and the artery to be in an eccentric position which is more realistic physically compared to the usual model which considers concentric position. The governing equations are solved analytically by a perturbation method. A problem to be tackled is the intimidating and horrendous mathematics involved in the solution procedure. An algorithm to circumvent this difficulty ought to be developed and it is conjectured that Mathematica based algorithm would be able alleviate such problem. Results show that the eccentricity causes the axial velocity and wall shear stress to increase. There is also a trapping bolus which occurs in the region between the wall of stenosis and the wall of catheter for small values of eccentricity parameter.

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“…Blood behaves like a Newtonian fluid when it flows through larger arteries at high shear rates, whereas, it exhibits a non-linear shear stress vs shear rate characteristics when it flows through narrow arteries at low shear rates [14,16,19,25,32]. Also in some diseased conditions, blood exhibits remarkable non-Newtonian characteristics [11,13] and many researchers pointed out that for the blood flow through narrow arteries existence of a peripheral layer of plasma and a core region of suspension of all the erythrocytes was observed.…”

Section: Introductionmentioning

confidence: 99%

“…Erythrocytes in terms of the number in ratio of other blood suspended cells are in the majority, and their properties are predominant for other cells [22]. In most literatures, blood flow has been considered as single layered Newtonian [4,6,15] or non-Newtonian fluid [14,16,25,29,30]. Chakravarty and Mandal presented a mathematical model of non-linear two-dimensional blood flow in tapered arteries in the presence of the stenosis.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Pulsatile Blood Flow in Stenosed Artery

Haghighi

Kabdool

Asl

et al. 2015

Int. J. Appl. Comput. Math

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In the present study, a two-layered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined. The two-fluid model consists of a core layer of a suspension of erythrocytes and peripheral plasma layer. It is assumed that the core and peripheral plasma layer behave as micropolar and Newtonian fluids respectively. The resulting system of nonlinear partial differential equations is numerically solved using the finite difference scheme by exploiting the suitably prescribed conditions. Effects of the tapering angle, wall deformation and severity of the stenosis on flow characteristics are discussed. The present results are compared with literature and found to be in good agreement.

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A power-law model of blood flow through a tapered overlapping stenosed artery

Cited by 85 publications

References 21 publications

Magnetohydro Dynamic Flow of Blood in a Permeable Inclined Stretching Surface With Viscous Dissipation, Non-Uniform Heat Source/Sink and Chemical Reaction

Magnetohydro Dynamic Flow of Blood in a Permeable Inclined Stretching Surface With Viscous Dissipation, Non-Uniform Heat Source/Sink and Chemical Reaction

Analysis of blood flow through a catheterized stenosed artery using Mathematica

Numerical Investigation of Pulsatile Blood Flow in Stenosed Artery

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