Human blood is considered as an incompressible nonnewtonian uid and. Twolayered model of blood flow through stenosed arteries. A mathematical model of dispersed bioparticleblood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. A mathematical model is developed in this paper for studying blood flow through a stenosed arterial segment by taking into account the slip velocity at the wall of the artery. An arterial catheter is a thin, hollow, tube which is placed into the artery to measure blood. Blood flow in arteries questions and answers in mri. Recent development in the blood flow simulation due to the computer development is the numerical simulation of fluidstructure interaction fsi between a blood flow and stenosed arteries. The influence of geometrical shapes of stenosis on the blood flow in stenosed artery sarfaraz kamangar, and irfan anjum badruddin, and ahamad, n.
Numerical simulation of blood flow through the system of. Boundary and initial condition for the boundary conditions, there is no radial flow along the axis of the artery and the axial velocity gradient of the streaming blood may be assumed to be equal to zero, i. In another work, the regimes of blood flow were compared in aortacoronary and coronarycoronary bypass ahmadluye darab et al. Geometry of the stenosed tapered artery for different taper angle. Modeling of non newtonian fluid for blood flow in stenosed. They took a micropolar model of blood flow via a horizontal nonsymmetrical but vertically symmetric artery having a mild stenosis. Stenosed artery is the narrowing of the blood artery brought about by thickening of the vessel lumen due to accumulation of atherosclerotic plaque 23. The circulatory system is controlled by homeostatic mechanisms, such as hydraulic circuits are controlled by control systems. Modeling of non newtonian fluid for blood flow in stenosed arteries. They found that the peripheral layer viscosity of blood in diabetic patients is higher than in nondiabetic patients. Newtonian model to study the steady blood flow through a stenosed artery taking blood as a herschel bulkley fluid and observed that axial velocity, flow rate increase with slip and decrease with yield stress.
Hence, numerical simulation using uidstructural interactions is becoming the preferred solution method. Analysis of the effects of plaque deposits on the blood flow through human artery, int. Mechanics of blood flow through normal and stenotic. 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. Patient specific 3d modeling of blood flow in a multi.
The flow of blood in twodimensional through the constricted stenosed artery is investigated in this paper. The influence of geometrical shapes of stenosis on the. 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. The problem of blood flow through a narrow catheterized artery with an axially nonsymmetrical stenosis has been investigated. World journal of engineering research and technology wjert, 316. Mathematical modelling on blood flow through stenosed artery under the influence of magnetic field s. Blood flow through a stenosed artery has been investigated in this paper.
A numerical simulation is performed to investigate newtonian physiological flows behavior on three dimensional idealized carotid artery ca and single stenosed 75% by area carotid artery sca. Numerical simulation of nonlinear pulsatile newtonian. Comparative mathematical study of blood flow through. The pulsatile flow of blood through stenosed arteries is analyzed by assuming the blood as a twofluid model with the suspension of all the erythrocytes in the core region as a nonnewtonian fluid and the plasma in the peripheral layer as a newtonian fluid. Pdf numerical investigation of pulsatile blood flow in. Formulation of the problem consider the axisymmetric flow of blood through an artery of circular cross section with an overlapping stenosis specified at the position as shown in fig. Hemodynamic response continuously monitors and adjusts to conditions in the body and its environment. A comparative study by mohammed musad university of aden, yemen abstract in this paper the mathematical model have been developed for the computation of pressure gradient, viscosity, yield stress and wall shear stress and the influence of stenosis in the. The problem of nonnewtonian and nonlinear blood flow through a stenosed artery is. The present investigation deals with a twolayered mathematical model of blood flow through an artery provided with a cosineshaped constriction.
Blood is assumed to be an incompressible nonnewtonian fluid and its flow is considered as turbulence described by the reynoldsaveraged navierstokes equations. Yunus 2017 the influence of geometrical shapes of stenosis on the blood flow in stenosed. Numerical investigation of pulsatile blood flow in. It is observed that flow velocity increased in the range from 0. On the other hand the unsteady blood flow through stenosed arteries is. The pulsatile flow of blood through stenosed arteries is analyzed by assuming the blood as a two fluid model with the suspension of all the. Pdf numerical simulation of nonlinear pulsatile newtonian. A nonnewtonian fluid model is used to investigate the twodimensional pulsatile blood flow through a tapered artery with a stenosis. It is assumed that the core and peripheral plasma layer behave as micropolar and newtonian fluids respectively. Flow characteristics, wall pressure and wall shear rate have been studied in detail. Mechanics of blood flow through normal and stenotic coronary arteries richard lloyd kirkeeide iowa state university follow this and additional works at. Blood and blood vessels have mechanical properties and due to their unusual properties the study becomes very complicated. Woodruff school of mechanical engineering, georgia institute of technology, atlanta, georgia 303320405 abstract blood. December 8, 2006 abstract this study investigated uid and structural responses to pulsatile nonnewtonian blood ow through a stenosed artery, using ansys.
The rate of blood flow out of the heart often expressed in lmin is known as the cardiac output co. Roy, pulsatile flow and heat transfer of a magneto micropolar fluid through a stenosed artery under the influence of body acceleration, journal of mechanics. A mathematical model of dispersed bioparticle blood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. The pulsative three dimensional blood flow was modelled for blockage of 50% by fluent software. In order to obtain parameters that can trace the differences between the flow fields of the non stenosed and the stenosed geometries, the lda data have been used. The geometry of the interface between the plasma layer and the core region has been determined and compared with that of the. Blood flow analysis of prandtl fluid model in tapered stenosed arteries. Blood flow in stenosed arteries using two way, fluid.
This model has been used to study the influence of the fluid behaviour index n, sheardependent nonlinear viscosity k and the yield stress tau h in blood flow through stenosed arteries. The blood flow through an axisymmetric stenosed artery is simulated in two dimensions by makin g use of a cylindrical coordinate system. In this paper, we investigate the behavior of the pulsatile blood flow in a stenosed right coronary artery with a bypass graft. Theoretical and practical investigation of blood flow through stenosed coronary lad artery sadiq j. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible newtonian fluid described by the navierstokes equation. In the present study, a twolayered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined.
Mechanics of blood flow through normal and stenotic coronary. The heart is the driver of the circulatory system, pumping blood through rhythmic contraction and relaxation. Numerical investigation of blood flow through stenotic artery. Twofluid mathematical models for blood flow in stenosed. In view of the vital role played by coronary blood flow in maintain. Numerical and analytical study of twolayered unsteady blood.
The expressions for and s have been plotted for different values of parameters. Mathematical modeling of blood flow in an inclined tapered. Blood flow analysis of prandtl fluid model in tapered. Numerical simulation of nonlinear pulsatile newtonian blood flow through a multiple stenosed artery article pdf available in international scholarly research notices 2015. The study was conducted with respect to various sizes of stenosis in terms of 70%, 80% and 90% area blockage of the arterial blood flow. It was observed that the resistance to flow increases as stenosis size and peripheral layer viscosity increases. Modeling of nonnewtonian blood flow through a stenosed. 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. Mathematical modelling of blood flow through catheterized artery. Blood being pumped out of the heart first enters the aorta, the largest artery of the body. Simulation of heat and chemical reactions on reiner rivlin. Halder 12 presented a mathematical model of blood flow through stenosed artery by considering blood as powerlaw fluid and observed that maximum resistance to flow is attained at the throat of the stenosis, in case of a symmetrical stenosis. The twofluid model consists of a core layer of a suspension of erythrocytes and peripheral plasma layer.
Numerical investigation on the blood flow characteristics considering the axial rotation in stenosed artery koreaaustralia rheology journal june 2009 vol. An unsteady analysis of nonnewtonian blood flow through. The influence of geometrical shapes of stenosis on the blood. Mathematical modelling on blood flow through stenosed. The model consists of a central core layer of erythrocytes surrounded by a peripheral plasma layer both with different viscosities. Thus hemodynamics explains the physical laws that govern the flow of blood in the blood vessels. Similarly the conservation of momentum equation along the axis of symmetry as well as along the radial direction consists of a transient term, convective term. Tenforde, theretical analysis of magnetic field interactions with aortic blood flow, bioelecomagnetics 17 1996, 22. Blood flow through an inclined stenosed artery 239 2. Mohammed d ep a r tm nofm dic leg ing co a n h u v s y d e pa r tmn of e g iee ng nu sh al d ep ar tm n of bid c l e ngg a khw zm coll ee u v s y ghd d. Twolayered pulsatile blood flow in a stenosed artery with body. Twofluid mathematical models for blood flow in stenosed arteries.
Mandal 6 analyzed unsteady analysis of nonnewtonian. Numerical simulation of dispersed particleblood flow in. Aug 28, 2015 in the present study, a twolayered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined. Fluidstructure inte ractions of p hysiological flow in. Similarly the conservation of momentum equation along the axis of symmetry as well as along the radial direction consists of a. Mathematical modeling of blood flow 77 newtonian flow through tapered tubes. Formulation of the problem consider the axisymmetric flow of blood through an artery of circular cross section with an overlapping stenosis specified at. The flow pattern for multi stenosed as well as normal left coronary artery is depicted in fig. Non newtonian behavior of blood in presence of arterial. Lee and xu 5 studied a newtonian blood ow pattern through a stenosed artery vessel and the behavior of the artery wall using one way.
P, india abstract blood can be assumed as a suspension of magnetic particles in nonmagnetic plasma, due to. The influence of minor stenoses on carotid artery flow. These conditions may be linked to thrombus formation and excessive artery fatigue leading to stroke wootton, 1999. Blood is considered a newtonian fluid and it is characterized by the generalized form of navierstokes equation. It can be clearly noticed that the velocity was found to be increased across the stenosed region as compared to the normal left coronary artery. Role of slip velocity in blood flow through stenosed arteries.
Numerical investigation on the blood flow characteristics. Numerical analysis of pulsatile blood flow in healthy, stenosed, and stented carotid arteries is performed with the aim of identifying hemodynamic factors in the initiation, growth, and the potential of leading to severe occlusions of a diseased artery. Numerical simulation of dispersed particleblood flow in the. Again, kumar and kumar 2009 gave an idea on oscillatory mhd flow of blood through an artery with mild stenosis. Role of slip velocity in blood flow through stenosed. Pdf computational modeling of nonnewtonian blood flow. Numerical investigations of pulsatile flow in stenosed artery 35 where u and v represent nondimensional velocity components in x and y directions, respectively. Part of thebiomedical engineering and bioengineering commons. Blood is represented by a twophase macroscopic model, i. 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. A twolayered model of blood flow through a stenosed artery has been considered. Mathematical modeling of blood flow through vertebral artery. The aim of this study is to investigate the flow mechanics of blood flow through stenosed artery of human body. Numerical studies of blood flow in healthy, stenosed, and.
It is observed that the insertion of catheter in an artery affects the flow. Mathematical modeling of nonnewtonian blood flow through. They took a micropolar model of blood flow via a horizontal nonsymmetrical but vertically symmetric artery having a. The model consists of a peripheral plasma layer free from red cells and a core region represented by a casson fluid. The nonnewtonian fluid in the core region of the artery is assumed as a i herschelbulkley fluid and ii casson fluid. A mathematical model is developed to study unsteady state blood ow through a stenotic artery and the deformation of the arterial wall in a cardiac cycle. The present work was carried out to investigate the blood flow behavior and the severity of blockage caused in the arterial passage due to the different geometries such as elliptical, trapezium and triangular shapes of stenosis. For the study of the effect of the pulsatile flow on the blood flow characteristics in an artery, the idealized pul. The pulsatile blood flow in the curved artery with varying degree of stenosis was analyzed by ha and lee 2014. Introduction arterial stenosis, also called as artherosclerosis, reduces the. Mathematical modeling of blood flow through vertebral. The problem of nonnewtonian and nonlinear blood flow through a stenosed artery is solved numerically where the nonnewtonian rheology of the flowing blood is characterised by the generalised. Laminar steady flow of an incompressible casson fluid through a cylindrical artery having axially symmetric.
Twolayered model of blood flow through composite stenosed artery. Fluidstructure inte ractions of p hysiological flow in stenosed artery bahtiyor buriev 1, taedong kim 2 and taewon seo 1, 1 school of mechanical engineering, andong national university, andong. Numerical simulation of generalized newtonian blood. Blood flow analysis in tapered stenosed arteries with. Considered the problem of blood flow in an artery in the presence of multiirregular shape stenosis. Numerical investigation of pulsatile blood flow in stenosed.
In order to obtain parameters that can trace the differences between the flow fields of the nonstenosed and the stenosed geometries, the lda data have been used. Pulsatile flow of blood through an artery in presence of a mild stenosis has been investigated in this paper assuming the body fluid blood as a twofluid model. Simulation of blood flow coronary artery with consecutive. Stenosis alters blood pressure, resistance, and blood flow can lead to critical flow alterations such as high flow velocities, high shear stress, cyclic artery compression and flow recirculation. The project aims at modeling the steady flow of blood at two different reynolds numbers in ideally and axisymmetrically stenosed artery models and the effect of varying the percentages of stenosis and the relative severity of the medical conditions that results. Blocked vessel was of 75% blockage and the changes were investigated in flow field for 12. Nonnewtonian blood flow through stenosed coronary arteries. Modelling of blood flow in stenosed arteries sciencedirect. A numerical study of hall current effect on the blood flow.
Pdf modeling of blood flow through stenosed artery with. Numerical investigations of pulsatile flow in stenosed artery. Mathematical modelling on blood flow through stenosed artery. Numerical simulation of nonlinear pulsatile newtonian blood. A study of nonnewtonian aspects of blood flow through. Theoretical and practical investigation of blood flow through. Department of mechanical engineering northern illinois university, 2015 pradip majumdar, director. Bioparticles are assumed to be spherical shape with the same density as blood, and. Pdf comparative study of newtonian physiological blood.
Theoretical and practical investigation of blood flow. Modeling of nonnewtonian blood flow through a stenosed artery incorporating fluidstructure interaction w. Mathematical modeling of nonnewtonian blood flow through artery 3 resistance to flow increases with stenosis height and red cell, which depends on hematocrit value of blood, on the other side resistance to flow decreases with the increase in the value of hartmann number. In this study a fluidstructure interaction modeling of blood flow in a nonstenosed common carotid artery bifurcation is carried out using vascular geometries reconstructed from doppler. Mondal 2005, considered unsteady analysis of nonnewtonian blood flow through tapered arteries with a stenosis by using difference scheme. Computational modeling of nonnewtonian blood flow through stenosed arteries in the presence of magnetic field. Blood has been represented by a nonnewtonian fluid obeying herschelbulkley equation. The pathological complications of atherosclerosis, namely heart diseas. Hemodynamics or haemodynamics are the dynamics of blood flow.
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