Modeling of nonnewtonian blood flow through a stenosed artery incorporating fluidstructure interaction w. Pdf numerical investigation of pulsatile blood flow in. The applied magnetic field reduces the shear stress parameter and changes the speed of blood 7, 8, 9. The governing equations, boundary conditions and the geometry of stenosis considered are presented in sections 2 and 3 while the solution procedure is described in sections 4 and 5. Cfd analysis of blood flow through stenosed arteries. The nonnewtonian cfd flow analysis model is used to analyze blood flow distributions in a femoral artery along with the adjacent capillary porous. The mathematical model for the flow in catheterized artery corresponds to the flow through an annulus. The results obtained are compared with previous investigators shukla, et al.
Controlling the blood flow in the stenosed porous artery with. An appropriate nonlinear blood flow model under the influence of periodic body acceleration through a multiple stenosed artery is investigated with the help of finite difference method. Hematocrit level on blood flow through a stenosed artery with. The mixed convection effects of heat and mass transfer are also taken into account. All above mentioned studies are based on the horizontal blood carrying vessels. In present paper we have studied the effects of bell shaped stenosis on resistance to flow, wall shear stress and velocity profile in an artery by assuming the blood as powerlaw fluid. Pdf on twofluid blood flow through stenosed artery with. Pdf blood flow through an inclined stenosed artery researchgate. Effects of unsteadiness and nonnewtonian rheology on blood flow. A comparative cfd study on the hemodynamics of flow through. Unsteady blood flow with nanoparticles through stenosed arteries.
Pdf modeling of blood flow through stenosed artery with. Mathematical model ing of n onnewtonian blood flow through artery in the presence of stenosis. Blood flow in bifurcated stenosed artery mathematical model area of occlusion stenosed artery which means the artery with a blockage caused by atherosclerosis. A mathematical model of dispersed bioparticle blood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. Accuracyofthesimulation depends mainly on suitable numerical approach, realistic model geometry, and boundary conditions. However, a moderate or severe stenosis can cause turbulent flow in the vasculature.
Analysis of blood flow through a catheterized stenosed. The mathematical model of blood considered laminar, incompressible. Research article numerical study of turbulent pulsatile blood. The unsteady power law blood flow through a multiirregular. Fdm analysis for blood flow through stenosed tapered arteries d. Turbulent blood flow due to arterial stenosis has long been investigated.
Soft plaque is more likely to break free from the artery wall and cause a blood clot, which can block blood flow to vital organs. Analysis of pulsatile magnetohydrodynamic mhd third. Sep 23, 20 steady flow simulations of blood flow in an axisymmetric stenosed artery, subjected to a static magnetic field, are performed to investigate the influence of artery size, magnetic field strength, and nonnewtonian behavior on artery wall shear stress and pressure drop in the stenosed section. Pdf blood flow in stenosed arteries using two way, fluid. The present work is to investigate the effect of the inclination angle on blood flow through the flexible stenosed artery. Two phase blood flow 3 ow through a tapered stenosed artery, assuming micropolar uid in the core region and newtonian uid in the plasma region. Mhd pulsatile twophase blood flow through a stenosed arxiv. Pulsatile blood flow through a stenosed artery 391 table 1 constant value parameters numerical value parameters numerical value.
Numerical investigation of oxygenated and deoxygenated. Modelling of blood flow in stenosed arteries sciencedirect. In fact, blood flow in arteries is usually laminar. Effect of hematocrit level on the blood flow through. In this work, the flow pattern in the various shape of stenosed artery 5090% crosssection area. The effects of nanoparticles such as fe304,ti02, and cu on blood flow inside a stenosed artery are studied. Low shear rate is observed in stenosis and blood flow through stenosed artery to behave like nonnewtonian characteristics leondes, 2000. A macroscopic twophase blood flow through a stenosed artery with. The model consists of a central core layer of erythrocytes surrounded by a peripheral plasma layer. In this paper, the pulsatile flow of blood through an inclined catheterized stenosed artery is analyzed. The research conducted in the literature on the flow through stenosed catheterized arteries has considered blood either as a singlephase newtonian or nonnewtonian fluid. A mathematical model of dispersed bioparticleblood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. Computational modeling of nonnewtonian blood flow through.
Chua and shread 9 found that the flow through the constricted tube is characterized by high. A mathematical analysis on blood flowing through a catheterized stenosed artery is carried out using mathematica, where a package has been developed to solve. The obtained results are compared to the results reported in the literature, and an excellent agreement is observed. A comparative analysis of blood flow through femoral artery is done based on newtonian and nonnewtonian blood flow by using carreauyasuda model subjected to a waveform based on a cardiac cycle. Under the finite difference scheme, numerical solutions are calculated for velocity. An arterial catheter is a thin, hollow, tube which is placed into the artery to measure blood. The present paper concerns with the fluid mechanical study on the effects of the permeability of the wall through an overlapping stenosis in an artery.
Blood flow in a stenosed artery was simulated using the two way, fluidstructural interactions in ansysa commercial finite element and finite volume software widely used in industry. Oscillating pressure gradient and periodic body acceleration were imposed on the flow field. Radiation effect on mhd blood flow through a tapered. The problem of nonnewtonian and nonlinear blood flow through a stenosed artery is. A twolayered model of blood flow through a stenosed artery has been considered. With the help of magnetohydrodynamics the flow of blood through such type of arteries can be controlled.
Physiological nonnewtonian blood flow through single stenosed artery khairuzzaman mamun, mohammad ali, and most. Stenosed artery is the narrowing of the blood artery brought about by thickening of the vessel lumen due to accumulation of atherosclerotic plaque 23. Several stenosis models were investigated using a pulsatile flow condition. Figure 2 depicts the axial velocity profile u increases as the increase of slip parameter. Mathematical modeling of nonnewtonian blood flow through. Although it is wellknown that many ducts in physiological systems are no. Arteries transport oxygenated blood to different tissues and organs of the body. Comparison of blood velocity profiles in the stenosed artery. Pdf computational modeling of nonnewtonian blood flow. Modeling of nonnewtonian blood flow through a stenosed. This paper introduces a theoretical study of aunps blood flow through a catheterized artery with multiple stenosis under radial magnetic field effect. Some researchers have studied the flow of blood through a stenosed artery with slip at the. The twofluid model consists of a core layer of a suspension of. Generalized power law model of blood flow in a stenosed bifurcated artery stenosis is a blockage caused by atherosclerosis literally lead to serious circulatory complaints, by narrowing the vessel wall and causing an alternation in the flow structure which consequently reduced the fluid flow passing to the other organs and tissues.
The unsteady blood flow in the stenosed porous artery subjected to a magnetic field was studied analytically. Comparative study of netonian sinusoidal blood flow through. This is essential for metabolic activities and sustaining life functions. Unsteady oscillatory flow of blood through a composite. Blood flow through an axisymmetric stenosis semantic scholar. Computational modeling of nonnewtonian blood flow through stenosed arteries in the presence of magnetic field. Department of mechanical engineering northern illinois university, 2015 pradip majumdar, director. The turbulent pulsatile blood flow through stenosed arteries considering the elastic property of the wall is investigated numerically. Pdf a mathematical analysis of blood flow through stenosed.
Investigation centres on the effect of inserting a catheter, which is a tube, used amongst others in patients. In recent years, considerable amount of researchers have studied the flow of blood through catheterized artery. Perturbation method is used to solve the implicit system of partial differential equations with suitable boundary conditions. Hematocrit level on blood flow through a stenosed artery. Mathematical modelling of blood flow through catheterized artery. Based on mild stenosis assumptions, the governing equations of gold nanoparticles blood flow model are simplified and solved analytically. A nonnewtonian fluid model is used to investigate the 2d pulsatile blood flow through a tapered artery with stenosis. Generalized power law model of blood flow in a stenosed. Research article numerical study of turbulent pulsatile blood flow through stenosed artery using fluidsolid interaction mehdijahangiri, 1 mohsensaghafian, 1 andmahmoodrezasadeghi 2 department of mechanical engineering, isfahan university of technology, isfahan, iran. In this study we analysed the flow of blood through axisymmetric, mild and composite shaped stenosis. A mathematical model for mhd blood flow through a stenosed artery with soret and dufour effects in the presence of thermal radiation has been studied. A better understanding of the flow and flow turbulence in the poststenotic region can lead to more accurate diagnostic methods. The aim of this study is to investigate the flow mechanics of blood flow through stenosed artery of human body. Numerical study of turbulent pulsatile blood flow through.
A theoretical study of an unsteady twolayered blood flow through a stenosed artery is presented in this article. Effect of slip velocity on blood flow through a catheterized stenosed artery is studied in 19. The effect of slip velocity on unsteady peristalsis mhd. By applying nondimensionalization and radial coordinate transformation, we simplify the system in a tube. A numerical simulation to investigate the nonnewtonian modeling e. Effects of antiplatelet drugs on blood flow through. Atherosclerotic constriction that deposit on the inner lining of the artery were made of fatty substances, cholesterol, cellular waste products, calcium and fibrin. In the present study, a twolayered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined. Department of mechanical engineering northern illinois university, 2015 pradip majumdar, director the pathological complications of atherosclerosis, namely heart disease and stroke, remain the leading cause of mortality in the world.
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. The effects of the magnetic field and the permeability of the stenosed artery on the blood velocity were studied. Cardiovascular illness is highly prevalent among the american population. December 8, 2006 abstract this study investigated uid and structural responses to pulsatile nonnewtonian blood ow through a stenosed artery, using ansys. Twolayered model of blood flow through composite stenosed artery. Red blood cells are known to be responsible for many of the blood properties and diseases 12, and consequently dominate the flow field. To validate the applicability of the proposed analysis, analytical expressions for the axial velocity, fluid acceleration, wall shear stress and volumetric flow rate are computed and for having an adequate insight to blood flow behavior through a stenosed artery, graphs have been plotted with varying values of flow variables, to analyse the. Numerical simulation of nonlinear pulsatile newtonian. Stress and resistance to flow is much higher in stenosed artery. Then, the behavior of an incompressible viscous fluid flow such as blood flow in a stenosed artery, having multiple kinds of stenoses, is investigated. This package can be extended to solve and simulate other fluid models and boundary conditions. Any narrowing of an artery will hamper the flow of blood and depending on the extent of the narrowing, known as stenosis, the artery may be partially or com.
Sarkar and jayaraman 18 discussed the changed flow patterns of pulsatile blood flow in a catheterized stenosed artery. Steady flow simulations of blood flow in an axisymmetric stenosed artery, subjected to a static magnetic field, are performed to investigate the influence of artery size, magnetic field strength, and nonnewtonian behavior on artery wall shear stress and pressure drop in the stenosed section. Numerical simulation of dispersed particleblood flow in the. A twodimensional model is used to analyze the unsteady pulsatile flow of blood through a tapered artery with stenosis. The effects of the magnetic field and the permeability of. Blood flow is considered through an axially nonsymmetrical but radially symmetric stenosis where surrounded by a solenoid. This paper introduces a theoretical study of aunpsblood flow through a catheterized artery with multiple stenosis under radial magnetic field effect. A numerical simulation to investigate the nonnewtonian modeling effects on physiological flows in a three dimensional idealized artery with a single stenosis of 85% severity is given. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible newtonian fluid described by the navierstokes equation.
Comparative study of netonian sinusoidal blood flow through normal and stenosed carotid artery doi. Finite element simulation of twodimensional pulsatile blood. Sankar, joan goh, and ahmad izani mohamed ismail school of mathematical sciences, science university of malaysia, 11800 penang, malaysia correspondence should be addressed to d. Blood flow is impeded at the location of the stenosis in the narrowed artery, which hampers the transportation of blood cells, platelets, oxygen, and nutrients 4. The flow behavior in the stenosed artery is quite different in comparison to the normal one. Considered the problem of blood flow in an artery in the presence of multiirregular. Numerical simulation of dispersed particleblood flow in. Modeling of aunpsblood flow through a catheterized. Blood flow analysis in tapered stenosed arteries with the.
A uniform magnetic field is applied perpendicular to the porous surface. Cfd analysis of blood flow through stenosed arteries narmada surigala, m. The researchers have analysed the flow of blood in arteries by considering the catheter and the artery as rigid coaxial. A numerical simulation to investigate the nonnewtonian modelling effects on physiological flows in a three dimensional idealized artery with a single stenosis of 85% severity. Numerical simulation of nonlinear pulsatile newtonian blood. Mathematical modeling of blood flow through an inclined. Fdm analysis for blood flow through stenosed tapered arteries. Jun 21, 2016 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. On twofluid blood flow through stenosed artery with permeable wall article pdf available in applied bionics and biomechanics 1112.
The analysis of blood flow through a composite stenosed artery sasikala et. Many investigators have focused their attention on blood ow through stenosed arteries with single stenosis by mekheimer. Blood and blood vessels have mechanical properties and due to their unusual properties the study becomes very complicated. Various analytical expressions axial velocity, flow rate, wall shear stress and effective viscosity have been derived with the help of matlab for understanding the.
Bioparticles are assumed to be spherical shape with the same density as blood, and. Numerical study of turbulent pulsatile blood flow through stenosed artery using fluidsolid interaction mehdijahangiri, 1 mohsensaghafian, 1 andmahmoodrezasadeghi 2 department of mechanical engineering, isfahan university of technology, isfahan, iran department of biomedical engineering, university of isfahan, isfahan, iran. Research article numerical simulation of nonlinear pulsatile. At the end of the arteries the pulsatile nature of blood flow is lost, and the flow becomes steady. Considered the problem of blood flow in an artery in the presence of multiirregular shape stenosis. The nonlinear equation is solved numerically with the proper. The mean flow resistance increase during coronary artery catheterization in normal as well as stenosed arteries has been studied by back 6 and back et al.
In these models the form of the stenosis geometry was either axisymmetric or axisasymmetric. Pdf on jan 1, 2012, biswadip basu mallik and others published a mathematical analysis of blood flow through stenosed arteries. By assuming that the womersley number is small, the approximate. Pdf the present work is to investigate the effect of the inclination angle on blood flow through the flexible stenosed artery. Controlling the blood flow in the stenosed porous artery. Communications in theoretical physics paper related. In view of above considerations young, 1968, siddiqui et. Investigation of blood ow modeling through arterial multistenosisisverychallenging.
Effects of slip velocity m chitra and d karthikeyanunsteady blood flow with nanoparticles through stenosed arteries in the presence of periodic body acceleration dzuliana fatin jamil, rozaini roslan, mohammed abdulhameed et al. Blood flow through a stenosed artery with the effect of. Blood is assumed to be an incompressible nonnewtonian fluid and its flow is considered as turbulence described by the reynoldsaveraged navierstokes equations. In this paper an attempt has been made to investigate the effects of antiplatelet drugs on blood flow and significance of nonnewtonian viscosity through a stenosed artery using herschelbulkely fluid model. Exact solution for axial velocity is obtained by using cauchy euler. Comparative study of netonian sinusoidal blood flow. The pathological complications of atherosclerosis, namely heart diseas.
During the numerical model validation both standard k. In this paper, we investigate the behavior of the pulsatile blood flow in a stenosed right coronary artery with a bypass graft. The flow of blood in twodimensional through the constricted stenosed artery is investigated in this paper. Analysis of blood flow through a catheterized stenosed artery. The influences of nanoparticles fe 3 0 4, ti0 2, cu as drug carriers in the blood flow stream have been incorporated in the model as well. This abnormality in arteries is perturb the flow field. An unsteady analysis of nonnewtonian blood flow through. Research article numerical study of turbulent pulsatile. Pdf physiological nonnewtonian blood flow through single. Radiation effect on mhd blood flow through a tapered porous.
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