Unsteady response of non-Newtonian blood flow through a stenosed artery in magnetic field (original) (raw)
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One-dimensional, steady, Herschel-Bulkley fluid flow of blood through a stenosed artery under the effect of external magnetic field is studied. The blood is assumed as incompressible. The governing equations are solved analytically. This model has been used to study the influence of yield stress on blood flow through the stenosed artery. The effects of magnetic field on axial velocity, flow rate and wall shear rate has been shown graphically. The effects of all the parameters are quite significant on axial velocity, flow rate and wall shear rate as evidence from the results.
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IOP Conference Series: Materials Science and Engineering, 2020
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Blood Flow Analysis Inside A Stenotic Artery Using Power-Law Fluid Model
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This paper is devoted to study numerically a recent development of a non-Newtonian blood flow model for a stenosed artery in human blood vessel. For numerical investigation the blood flow modeling method of this research begins with non-Newtonian power-law model. The governing system of equation based on incompressible Navier-Stokes equations with externally imposed magnetic resonance has been generalized to take into account the mechanical properties of blood. The intent of this research is to examine the effects of inlet velocity and imposed magnetic field on the blood flow throughout the artery. The Galerkin's weighted residual method of finite element system has been employed to resolve the governing system of equation with proper boundary conditions. The numerical simulation has been conducted for various inlet velocities from 0.005 to 0.1m/s and magnetic field strength from 0 to 6 tesla with superior convergence of the iterative structure. Results have been shown in terms of velocity, surface plot of velocity, pressure and viscosity contours. Cross-sectional plots of velocity and viscosity magnitudes across the stenotic contraction have also been displayed graphically. Obtained results of the blood flow simulations indicate that viscosity increases due to increasing values of inlet velocity of blood and magnetic strength.
Effect of magnetic field on the blood flow in artery having multiple stenosis: a numerical study
In the present study a mathematical model for the blood flow in stenosed artery in the presence of magnetic field is proposed. The laminar, incompressible, fully developed, non-Newtonian flow of blood in an artery having multiple stenosis is numerically studied under the action of transverse magnetic field. The governing equations are transformed by using a radial transformation and the numerical results are obtained using a finite difference technique. Effect of overlapping stenosis and externally applied magnetic field in the blood flow is discussed with the help of graph. All the flow characteristics are found to be affected by the presence of multiple stenosis and exposure of magnetic field of different intensities.
2021
In this study, a tapered stenosed artery is considered to notice the effect of transverse magnetic field applied on blood flow to analyze the behavior of the flow with the help of significant flow attributes. The laminar, incompressible and fully developed flow of blood is studied taking into account the variable viscosity. To resemble the problem to real life situation, flow in core region is assumed to be non-Newtonian and flow in peripheral region is assumed to be Newtonian. The constitutive equation of blood is represented by Bingham plastic model in peripheral region and Herschel-Bulkley model in core region. The simulations are carried out for important flow characteristics such as wall shear stress, volumetric flow rate and axial velocity and the behavior is analyzed. We have reported numerical results for different values of physical parameters of interest. Biological implications of the present model are discussed. It has been observed that the important flow attributes are affected in tapered artery with stenosis and it is possible to stabilize the flow with the help of magnetic field applied externally. It is also noticed that the behaviour of flow attributes found by considering variable viscosity is in good agreement with the literature as compared to constant viscosity.
Study of Non-Newtonian biomagnetic blood flow in a stenosed bifurcated artery having elastic walls
Scientific Reports, 2021
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 xxdirection.ForcouplingoftheproblemanArbitraryLagrangian–Eulerianformulationisusedbytwo−wayfluidstructureinteraction.Todiscretizetheproblem,weemployedx direction. For coupling of the problem an Arbitrary Lagrangian–Eulerian formulation is used by two-way fluid structure interaction. To discretize the problem, we employedxdirection.ForcouplingoftheproblemanArbitraryLagrangian–Eulerianformulationisusedbytwo−wayfluidstructureinteraction.Todiscretizetheproblem,weemployedP_{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 load...
2012
Blood flow in stenosed tube has been modeled in the present investigation. The model is aimed at studying the effect of stenosis on flow rate and shear stress distribution on time dependent (pulsatile) flow of blood in the arteries. The model has been compared with the time independent model and shown that the time dependent has significant effect on the flow situation. The model accounts for the anomalies of blood flow such as; blunted velocity profile, and Fahraeus - Lindquist effect (FLE). The model also has been studied for various of parametric effects such as magnetic, body acceleration, size of Blood cells (Couple Stress)frequency, amplitude, phase difference, percentage stenosis(constriction), and length of stenosis .One of the most important aspect of the present model is that the model has been studied for different blood diseases and compared with the case of normal blood.
A Numerical Study on Effect of Magnetic field on Stenosed Artery
In this paper the flow of blood in a stenosed artery under the influence of external induced magnetic field is studied numerically . The artery is considered as circular tube. The effects of external induced magnetic field on axial velocity, flow rate and wall shear rate are studied. The variation of the axial velocity and magnetic field distribution has been illustrated graphically for variation of different parameters such as Reynolds number, Hartmann number , Magnetic Reynolds number etc. The effects of all the parameters are quite significant on flow characteristics.
2018
A mathematical model for two-dimensional pulsatile blood flow through a constriction vessels under magnetic field and body acceleration is numerically simulated. The artery considered as an elastic cylindrical tube and the geometry of the constriction assumed to time-dependent with an aim to provide resemblance to the in-vivo situations. The blood flow considered nonlinear, incompressible and fully developed. The nonlinear momentum and the continuity equations under suitable initial and boundary conditions can be numerically solved using the Crank-Nicolson scheme. The blood flow specifications such as the velocity profile, the volumetric flow rate and the resistance to flow are obtained and effects of the magnetic field and the severity of the stenosis under these flow specifications are discussed. Besides the blood flow characteristics through elastic artery have been compared with the rigid ones.
International Journal of Heat and Fluid Flow, 2008
The paper reports on a comprehensive mathematical model for simulations of blood-flow under the presence of strong non-uniform magnetic fields. The model consists of a set of Navier-Stokes equations accounting for the Lorentz and magnetisation forces, and a simplified set of Maxwell's equations (Biot-Savart/Ampere's law) for treating the imposed magnetic fields. The relevant hydrodynamic and electromagnetic properties of human blood were taken from the literature. The model is then validated for different test cases ranging from a simple cylindrical geometry to real-life right-coronary arteries in humans. The time-dependency of the wall-shear-stress for different stenosis growth rates and the effects of the imposed strong non-uniform magnetic fields on the blood flow pattern are presented and analysed. It is concluded that an imposed nonuniform magnetic field can create significant changes in the secondary flow patterns, thus making it possible to use this technique for optimisations of targeted drug delivery.