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. Mathematical modeling of blood flow through an inclined. The problem of nonnewtonian and nonlinear blood flow through a stenosed artery is. Blood flow analysis in tapered stenosed arteries with the. A better understanding of the flow and flow turbulence in the poststenotic region can lead to more accurate diagnostic methods. The analysis of blood flow through a composite stenosed artery sasikala et. Communications in theoretical physics paper related. 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. Mathematical model ing of n onnewtonian blood flow through artery in the presence of stenosis. Stress and resistance to flow is much higher in stenosed artery. A twolayered model of blood flow through a stenosed artery has been considered.
At the end of the arteries the pulsatile nature of blood flow is lost, and the flow becomes steady. Pdf modeling of blood flow through stenosed artery with. Figure 2 depicts the axial velocity profile u increases as the increase of slip parameter. 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. Some researchers have studied the flow of blood through a stenosed artery with slip at the. Comparative study of netonian sinusoidal blood flow through normal and stenosed carotid artery doi. In this paper, the pulsatile flow of blood through an inclined catheterized stenosed artery is analyzed.
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. Controlling the blood flow in the stenosed porous artery with. 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. Finite element simulation of twodimensional pulsatile blood. Pdf numerical investigation of pulsatile blood flow in. Bioparticles are assumed to be spherical shape with the same density as blood, and. The model consists of a central core layer of erythrocytes surrounded by a peripheral plasma layer. This paper introduces a theoretical study of aunps blood flow through a catheterized artery with multiple stenosis under radial magnetic field effect. 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. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible newtonian fluid described by the navierstokes equation.
An unsteady analysis of nonnewtonian blood flow through. Modeling of nonnewtonian blood flow through a stenosed artery incorporating fluidstructure interaction w. Pdf blood flow in stenosed arteries using two way, fluid. Cfd analysis of blood flow through stenosed arteries narmada surigala, m.
A twodimensional model is used to analyze the unsteady pulsatile flow of blood through a tapered artery with stenosis. 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. The unsteady power law blood flow through a multiirregular. The turbulent pulsatile blood flow through stenosed arteries considering the elastic property of the wall is investigated numerically.
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. Numerical investigation of oxygenated and deoxygenated. Effect of hematocrit level on the blood flow through. Generalized power law model of blood flow in a stenosed. The mathematical model of blood considered laminar, incompressible. Effects of unsteadiness and nonnewtonian rheology on blood flow.
The pathological complications of atherosclerosis, namely heart diseas. Analysis of blood flow through a catheterized stenosed artery. 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. In the present study, a twolayered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined. 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. Modeling of nonnewtonian blood flow through a stenosed. Analysis of pulsatile magnetohydrodynamic mhd third. The effects of the magnetic field and the permeability of. 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.
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. Chua and shread 9 found that the flow through the constricted tube is characterized by high. A mathematical model of dispersed bioparticle blood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. Pdf on jan 1, 2012, biswadip basu mallik and others published a mathematical analysis of blood flow through stenosed arteries. Then, the behavior of an incompressible viscous fluid flow such as blood flow in a stenosed artery, having multiple kinds of stenoses, is investigated. In this study we analysed the flow of blood through axisymmetric, mild and composite shaped stenosis. Modelling of blood flow in stenosed arteries sciencedirect. Unsteady blood flow with nanoparticles through stenosed arteries. Comparative study of netonian sinusoidal blood flow through. 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.
Fdm analysis for blood flow through stenosed tapered arteries. Analysis of blood flow through a catheterized stenosed. The mixed convection effects of heat and mass transfer are also taken into account. During the numerical model validation both standard k. Stenosed artery is the narrowing of the blood artery brought about by thickening of the vessel lumen due to accumulation of atherosclerotic plaque 23. A mathematical model of dispersed bioparticleblood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. 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 numerical simulation to investigate the nonnewtonian modeling e.
This paper introduces a theoretical study of aunpsblood flow through a catheterized artery with multiple stenosis under radial magnetic field effect. Considered the problem of blood flow in an artery in the presence of multiirregular. Computational modeling of nonnewtonian blood flow through. Blood flow through a stenosed artery with the effect of. Numerical study of turbulent pulsatile blood flow through. 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. Pdf a mathematical analysis of blood flow through stenosed. Mathematical modeling of nonnewtonian blood flow through. Comparative study of netonian sinusoidal blood flow. Numerical simulation of nonlinear pulsatile newtonian. The present work is to investigate the effect of the inclination angle on blood flow through the flexible stenosed artery.
Under the finite difference scheme, numerical solutions are calculated for velocity. Several stenosis models were investigated using a pulsatile flow condition. In this paper, we investigate the behavior of the pulsatile blood flow in a stenosed right coronary artery with a bypass graft. Perturbation method is used to solve the implicit system of partial differential equations with suitable boundary conditions.
Blood flow through an axisymmetric stenosis semantic scholar. The effect of slip velocity on unsteady peristalsis mhd. 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. The obtained results are compared to the results reported in the literature, and an excellent agreement is observed. Pdf the present work is to investigate the effect of the inclination angle on blood flow through the flexible stenosed artery. Effect of slip velocity on blood flow through a catheterized stenosed artery is studied in 19. December 8, 2006 abstract this study investigated uid and structural responses to pulsatile nonnewtonian blood ow through a stenosed artery, using ansys. 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. Although it is wellknown that many ducts in physiological systems are no. Pdf on twofluid blood flow through stenosed artery with.
Accuracyofthesimulation depends mainly on suitable numerical approach, realistic model geometry, and boundary conditions. This is essential for metabolic activities and sustaining life functions. Pdf physiological nonnewtonian blood flow through single. Cardiovascular illness is highly prevalent among the american population. The nonlinear equation is solved numerically with the proper. The effects of the magnetic field and the permeability of the stenosed artery on the blood velocity were studied. By applying nondimensionalization and radial coordinate transformation, we simplify the system in a tube.
Mathematical modelling of blood flow through catheterized artery. Numerical simulation of dispersed particleblood flow in the. Modeling of aunpsblood flow through a catheterized. The applied magnetic field reduces the shear stress parameter and changes the speed of blood 7, 8, 9. Blood flow is considered through an axially nonsymmetrical but radially symmetric stenosis where surrounded by a solenoid. 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.
Cfd analysis of blood flow through stenosed arteries. Research article numerical simulation of nonlinear pulsatile. 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. The researchers have analysed the flow of blood in arteries by considering the catheter and the artery as rigid coaxial. Various analytical expressions axial velocity, flow rate, wall shear stress and effective viscosity have been derived with the help of matlab for understanding the. In these models the form of the stenosis geometry was either axisymmetric or axisasymmetric.
All above mentioned studies are based on the horizontal blood carrying vessels. Blood is assumed to be an incompressible nonnewtonian fluid and its flow is considered as turbulence described by the reynoldsaveraged navierstokes equations. This abnormality in arteries is perturb the flow field. Hematocrit level on blood flow through a stenosed artery with. The aim of this study is to investigate the flow mechanics of blood flow through stenosed artery of human body. Pdf computational modeling of nonnewtonian blood flow. Department of mechanical engineering northern illinois university, 2015 pradip majumdar, director. Physiological nonnewtonian blood flow through single stenosed artery khairuzzaman mamun, mohammad ali, and most. 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. Considered the problem of blood flow in an artery in the presence of multiirregular shape stenosis.
Fdm analysis for blood flow through stenosed tapered arteries d. The flow of blood in twodimensional through the constricted stenosed artery is investigated in this paper. Comparison of blood velocity profiles in the stenosed artery. Blood flow in bifurcated stenosed artery mathematical model area of occlusion stenosed artery which means the artery with a blockage caused by atherosclerosis. The twofluid model consists of a core layer of a suspension of. A comparative cfd study on the hemodynamics of flow through. 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. The unsteady blood flow in the stenosed porous artery subjected to a magnetic field was studied analytically. An arterial catheter is a thin, hollow, tube which is placed into the artery to measure blood. Arteries transport oxygenated blood to different tissues and organs of the body.
Twolayered model of blood flow through composite stenosed artery. 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. 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. Red blood cells are known to be responsible for many of the blood properties and diseases 12, and consequently dominate the flow field. Oscillating pressure gradient and periodic body acceleration were imposed on the flow field.
In this work, the flow pattern in the various shape of stenosed artery 5090% crosssection area. Radiation effect on mhd blood flow through a tapered porous. A macroscopic twophase blood flow through a stenosed artery with. Research article numerical study of turbulent pulsatile blood. Unsteady oscillatory flow of blood through a composite. Sarkar and jayaraman 18 discussed the changed flow patterns of pulsatile blood flow in a catheterized stenosed artery.
Numerical simulation of nonlinear pulsatile newtonian blood. Investigation of blood ow modeling through arterial multistenosisisverychallenging. Pdf blood flow through an inclined stenosed artery researchgate. 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. Hematocrit level on blood flow through a stenosed artery. Investigation centres on the effect of inserting a catheter, which is a tube, used amongst others in patients. Low shear rate is observed in stenosis and blood flow through stenosed artery to behave like nonnewtonian characteristics leondes, 2000. Based on mild stenosis assumptions, the governing equations of gold nanoparticles blood flow model are simplified and solved analytically. 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. 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. Exact solution for axial velocity is obtained by using cauchy euler. By assuming that the womersley number is small, the approximate.
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 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 results obtained are compared with previous investigators shukla, et al. In fact, blood flow in arteries is usually laminar. Atherosclerotic constriction that deposit on the inner lining of the artery were made of fatty substances, cholesterol, cellular waste products, calcium and fibrin. 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. The mathematical model for the flow in catheterized artery corresponds to the flow through an annulus. With the help of magnetohydrodynamics the flow of blood through such type of arteries can be controlled. The nonnewtonian cfd flow analysis model is used to analyze blood flow distributions in a femoral artery along with the adjacent capillary porous. Numerical simulation of dispersed particleblood flow in. The flow behavior in the stenosed artery is quite different in comparison to the normal one.
This package can be extended to solve and simulate other fluid models and boundary conditions. On twofluid blood flow through stenosed artery with permeable wall article pdf available in applied bionics and biomechanics 1112. In recent years, considerable amount of researchers have studied the flow of blood through catheterized artery. Radiation effect on mhd blood flow through a tapered.
Controlling the blood flow in the stenosed porous artery. A uniform magnetic field is applied perpendicular to the porous surface. Effects of antiplatelet drugs on blood flow through. Research article numerical study of turbulent pulsatile. A nonnewtonian fluid model is used to investigate the 2d pulsatile blood flow through a tapered artery with stenosis. However, a moderate or severe stenosis can cause turbulent flow in the vasculature. In view of above considerations young, 1968, siddiqui et. Turbulent blood flow due to arterial stenosis has long been investigated. The effects of nanoparticles such as fe304,ti02, and cu on blood flow inside a stenosed artery are studied. Computational modeling of nonnewtonian blood flow through stenosed arteries in the presence of magnetic field.