Study of Non-Newtonian biomagnetic blood flow in a stenosed bifurcated artery having elastic walls

Shahzad, Hasan; Wang, Xinhua; Sarris, Ioannis E.; Iqbal, Kaleem; Hafeez, Muhammad Bilal; Krawczuk, Marek

doi:10.1038/s41598-021-03426-1

Cited by 9 publications

(5 citation statements)

References 31 publications

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“… where and are Poisson ratio, Young’s modulus, shear modulus and Lamé coefficient respectively. Where , and 33 .…”

Section: Problem Setupmentioning

confidence: 99%

“…Khaled and Vafaei 32 studied the concept of transport in biological tissue and proposed new model incorporating heat transfer and thermic biology equation. Recently, Shahzad et al 33 used power-law fluid to study the hemodynamics of blood flow in a stenotic artery with elastic walls by using ALE approach to couple equations. The results show that there is an increase in load on the walls for the shear thickening case.…”

Section: Introductionmentioning

confidence: 99%

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Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls

Shahzad

Wang

Ghaffari

et al. 2022

Sci Rep

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Fluid–structure interaction (FSI) gained a huge attention of scientists and researchers due to its applications in biomedical and mechanical engineering. One of the most important applications of FSI is to study the elastic wall behavior of stenotic arteries. Blood is the suspension of various cells characterized by shear thinning, yield stress, and viscoelastic qualities that can be assessed by using non-Newtonian models. In this study we explored non-Newtonian, incompressible Casson fluid flow in a bifurcated artery with a stenosis. The two-dimensional Casson model is used to study the hemodynamics of the flow. The walls of the artery are supposed to be elastic and the stenosis region is constructed in both walls. Suitable scales are used to transform the nonlinear differential equations into a dimensionless form. The problem is formulated and discretized using Arbitrary Lagrangian–Eulerian (ALE) approach. The finite element method (FEM) technique is used to solve the system of equations, together with appropriate boundary conditions. The analysis is carried out for the Bingham number, Hartmann number, and Reynolds number. The graphical results of pressure field, velocity profile, and load on the walls are assessed and used to study the influence of hemodynamic effects on stenotic arteries, bifurcation region, and elastic walls. This study shows that there is an increase in wall shear stresses (WSS) with increasing values of Bingham number and Hartmann number. Also, for different values of the Bingham number, the load on the upper wall is computed against the Hartmann number. The result indicate that load at the walls increases as the values of Bingham number and Hartmann number increase.

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“… where and are Poisson ratio, Young’s modulus, shear modulus and Lamé coefficient respectively. Where , and 33 .…”

Section: Problem Setupmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls

Shahzad

Wang

Ghaffari

et al. 2022

Sci Rep

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“…As a result, the non-Newtonian fluid concept is becoming more beneficial. Some of the significant and recent studies [1][2][3][4][5] about it are useful for the readers.…”

Section: Introductionmentioning

confidence: 99%

Analytical Simulation of Heat and Mass Transmission in Casson Fluid Flow across a Stretching Surface

Khan¹,

Jamil²,

Ali³

et al. 2022

Mathematical Problems in Engineering

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This research presents a review of an analytical simulation of heat and mass transmission features of steady, non-Newtonian Casson fluid motion across a permeable medium through a stretching surface. The effects of heat production and thermal emission are put into discussion. Mathematically, the governing model is manipulated by a series of nonlinear partial equations, which are then modified into ordinary differential equations with the assistance of appropriate conversion. Analytical results for such equations are then achieved by invoking the notable technique of the homotopy analysis method (HAM), and its solution sounds good while achieving the convergence guaranteed in the convergence table. Some achievements have been made. The consequence of raising the value of the Casson parameter is comprehended to be putting down the velocity field while increasing the temperature field. Also, the concentration field falls with an increase in the Schmidt number, while it rises with an enhancement in the Soret number. The electric parameter due to Lorentz’s force is capable of accelerating the temperature of the fluid but downsizing the velocity.

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“…The coupling of the non-linear system of the equation with FSI is performed using the Gauss-Seidel iterative algorithm. Recently Shahzad et al [33] studied the hemodynamics effects of non-Newtonian fluid flowing in the bifurcated artery. The theoretical model for stenosed bifurcated artery was constructed.…”

Section: Introductionmentioning

confidence: 99%

Fluid-structure interaction study of bio-magnetic fluid in a wavy bifurcated channel with elastic walls

Shahzad

Wang²,

Raizah³

et al. 2022

Front. Phys.

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As a result of its wide range of applications, FSI has grabbed the attention of researchers and scientists. In this study we consider an incompressible, laminar fluid flowing through the bifurcated channel. The wavy walls of the channel are considered elastic. Moreover, a magnetic field is applied towards the axial direction of the flow. Using a two-way fluid-structure interaction, an Arbitrary Lagrangian-Eulerian (ALE) formulation is used for coupling the problem. The problem is discretized using P2 and P1 finite element methods to approximate the displacement, pressure, and velocity. The linearized system of equations is solved using Newton’s iterative scheme. The analysis is carried out for the Reynolds number and Hartman number. The ranges of the studied parameters are Reynolds number 300≤Re≤1000 and Hartmann number 0≤Ha≤10. The hemodynamic effects on the bifurcated channel and elastic walls are calculated using velocity, pressure, wall shear stresses (WSS), and loads at the walls. The study shows there is an increase in boundary load as the values of the Hartman number increase hence WSS increases. On the other hand, an increase in the Reynolds number increases the resistance forces hence velocity and WSS decrease. Also, numerical values of WSS for rigid and elastic walls are calculated. Studies showed that WSS decreases for the FSI case when compare to CFD (computational fluid dynamic) case.

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Study of Non-Newtonian biomagnetic blood flow in a stenosed bifurcated artery having elastic walls

Cited by 9 publications

References 31 publications

Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls

Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls

Analytical Simulation of Heat and Mass Transmission in Casson Fluid Flow across a Stretching Surface

Fluid-structure interaction study of bio-magnetic fluid in a wavy bifurcated channel with elastic walls

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