Abstract:In recent years, fluid-structure interaction (FSI) analysis has generated remarkable interest of researchers in interdisciplinary sciences problems, for instance, mechanical engineering, biomedical engineering, i.e., incorporating elastic wall behaviour in human arteries. Here, in this paper, we considered incompressible Newtonian blood flow and the elastic bifurcated artery wall in a non-uniform magnetic field. The considered model of Biomagnetic Fluid Dynamics (BFD) describes both magnetization and electrica… Show more
“…Physically this mean for shear thinning blood the velocity profile of the fluid is maximum and for shear thickening blood flow velocity decreases and exert pressure on the walls of the artery. Also for n = 1 the results are matched for the viscus case discussed by Anwar et al 26 Also near the stenosis velocity is maximum. In order to get an insight of the velocity behavior before and after the stenosis the findings between the points A and B is focused and are displayed in Figs.…”
Section: Resultsmentioning
confidence: 60%
“…Further we assumed the walls are made up of isotropic and linearly elastic material having specific Poisson ratio and Young’s modulus. Which are defined as follows where = Lame coefficient, = Shear modulus, = Young’s Modulus, = Poisson ratio.where and value of 26 . Figure 1 schematic diagram of the problem (left) and coarse mesh (right).…”
Section: Geometry Of the Problemmentioning
confidence: 99%
“…Recently Anwar et al 26 conducted the analysis of biomagnetic blood flow in a bifurcated artery having elastic walls. Theoretical model of Newtonian fluid with applied magnetic field is considered.…”
Fluid structure interaction (FSI) gained attention of researchers and scientist due to its applications in science fields like biomedical engineering, mechanical engineering etc. One of the major application in FSI is to study elastic wall behavior of stenotic arteries. In this paper we discussed an incompressible Non-Newtonian blood flow analysis in an elastic bifurcated artery. A magnetic field is applied along $$x$$
x
direction. For coupling of the problem an Arbitrary Lagrangian–Eulerian formulation is used by two-way fluid structure interaction. To discretize the problem, we employed $$P_{2} P_{1}$$
P
2
P
1
finite element technique to approximate the velocity, displacement and pressure and then linearized system of equations is solved using Newton iteration method. Analysis is carried out for power law index, Reynolds number and Hartmann number. Hemodynamic effects on elastic walls, stenotic artery and bifurcated region are evaluated by using velocity profile, pressure and loads on the walls. Study shows there is significant increase in wall shear stresses with an increase in Power law index and Hartmann number. While as expected increase in Reynolds number decreases the wall shear stresses. Also load on the upper wall is calculated against Hartmann number for different values of power law index. Results show load increases as the Hartmann number and power law index increases. From hemodynamic point of view, the load on the walls is minimum for shear thinning case but when power law index increased i.e. for shear thickening case load on the walls increased.
“…Physically this mean for shear thinning blood the velocity profile of the fluid is maximum and for shear thickening blood flow velocity decreases and exert pressure on the walls of the artery. Also for n = 1 the results are matched for the viscus case discussed by Anwar et al 26 Also near the stenosis velocity is maximum. In order to get an insight of the velocity behavior before and after the stenosis the findings between the points A and B is focused and are displayed in Figs.…”
Section: Resultsmentioning
confidence: 60%
“…Further we assumed the walls are made up of isotropic and linearly elastic material having specific Poisson ratio and Young’s modulus. Which are defined as follows where = Lame coefficient, = Shear modulus, = Young’s Modulus, = Poisson ratio.where and value of 26 . Figure 1 schematic diagram of the problem (left) and coarse mesh (right).…”
Section: Geometry Of the Problemmentioning
confidence: 99%
“…Recently Anwar et al 26 conducted the analysis of biomagnetic blood flow in a bifurcated artery having elastic walls. Theoretical model of Newtonian fluid with applied magnetic field is considered.…”
Fluid structure interaction (FSI) gained attention of researchers and scientist due to its applications in science fields like biomedical engineering, mechanical engineering etc. One of the major application in FSI is to study elastic wall behavior of stenotic arteries. In this paper we discussed an incompressible Non-Newtonian blood flow analysis in an elastic bifurcated artery. A magnetic field is applied along $$x$$
x
direction. For coupling of the problem an Arbitrary Lagrangian–Eulerian formulation is used by two-way fluid structure interaction. To discretize the problem, we employed $$P_{2} P_{1}$$
P
2
P
1
finite element technique to approximate the velocity, displacement and pressure and then linearized system of equations is solved using Newton iteration method. Analysis is carried out for power law index, Reynolds number and Hartmann number. Hemodynamic effects on elastic walls, stenotic artery and bifurcated region are evaluated by using velocity profile, pressure and loads on the walls. Study shows there is significant increase in wall shear stresses with an increase in Power law index and Hartmann number. While as expected increase in Reynolds number decreases the wall shear stresses. Also load on the upper wall is calculated against Hartmann number for different values of power law index. Results show load increases as the Hartmann number and power law index increases. From hemodynamic point of view, the load on the walls is minimum for shear thinning case but when power law index increased i.e. for shear thickening case load on the walls increased.
“…Once grid independence is established, the validation of code is presented against the results of Anwar et al 42 for contour plots and velocity magnitude and are shown in Fig. 2 and Table 2 respectively.…”
Section: Problem Setupmentioning
confidence: 99%
“…The comparison demonstrated the accuracy of our results, and a good agreement among the respective results is obtained, which ensures that the results obtained from the present study are reliable for accuracy check. Figure 2 Comparison for the contour plots at , Anwar et al 42 (left) and present (right). …”
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.
The field of fluid dynamics has expanded to study of biological fluids in a magnetic field, a new area known as biomagnetic fluid dynamics. The most notable biomagnetic fluid is blood. The growing interest in problems related to biomagnetic fluid dynamics among researchers is due to its vast applications in biotechnology and biomedical sciences. These applications include magnetic devices for cell separation, blood reduction during surgeries, targeted drug delivery using magnetic nanoparticles to trigger drug release, magnetically induced hyperthermia therapy for most malignant tumors, and magnetic resonance imaging of specific regions of the human body. This study examines the effect of nonlinear radiation on a biomagnetic fluid, specifically blood, flowing through a two‐dimensional, incompressible boundary layer via a stretchable sheet. The flow under consideration is electrically conductive, adhering to the laws of magnetohydrodynamics and ferrohydrodynamics. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation and solved using the built‐in bvp4c function of MATLAB software. The effects of various physical parameters on velocity and thermal fields are investigated. The influences of the Nusselt number and skin friction are also evaluated against the main parameters. Furthermore, the average Nusselt number is 27.73% at M = 1.1, and when M = 2.5, the value of the average number decreases by 17.73%.
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