A twolayered model of blood flow through a stenosed artery has been considered. Formulation of the problem consider the axisymmetric flow of blood through an artery of circular cross section with an overlapping stenosis specified at. Simulation of heat and chemical reactions on reiner rivlin. Pdf comparative study of newtonian physiological blood. They took a micropolar model of blood flow via a horizontal nonsymmetrical but vertically symmetric artery having a.
Introduction arterial stenosis, also called as artherosclerosis, reduces the. 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. Modeling of non newtonian fluid for blood flow in stenosed arteries. Fluidstructure inte ractions of p hysiological flow in. Mechanics of blood flow through normal and stenotic coronary arteries richard lloyd kirkeeide iowa state university follow this and additional works at. Pdf numerical simulation of nonlinear pulsatile newtonian. The nonlinear equation is solved numerically with the proper. Part of thebiomedical engineering and bioengineering commons. 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. The flow pattern for multi stenosed as well as normal left coronary artery is depicted in fig. Numerical studies of blood flow in healthy, stenosed, and. Non newtonian behavior of blood in presence of arterial. 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.
Twolayered model of blood flow through composite stenosed artery. Numerical investigations of pulsatile flow in stenosed artery 35 where u and v represent nondimensional velocity components in x and y directions, respectively. 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. Twofluid mathematical models for blood flow in stenosed arteries. Mechanics of blood flow through normal and stenotic coronary.
December 8, 2006 abstract this study investigated uid and structural responses to pulsatile nonnewtonian blood ow through a stenosed artery, using ansys. The pathological complications of atherosclerosis, namely heart diseas. P, india abstract blood can be assumed as a suspension of magnetic particles in nonmagnetic plasma, due to. 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. Role of slip velocity in blood flow through stenosed. 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. Department of mechanical engineering northern illinois university, 2015 pradip majumdar, director. The problem of blood flow through a narrow catheterized artery with an axially nonsymmetrical stenosis has been investigated. In this paper, we investigate the behavior of the pulsatile blood flow in a stenosed right coronary artery with a bypass graft. 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. Blood flow in stenosed arteries using two way, fluid. A study of nonnewtonian aspects of blood flow through. The twofluid model consists of a core layer of a suspension of erythrocytes and peripheral plasma layer. Numerical simulation of nonlinear pulsatile newtonian.
It is observed that the insertion of catheter in an artery affects the flow. 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. Mandal 6 analyzed unsteady analysis of nonnewtonian. Mathematical modelling on blood flow through stenosed. 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. Blood flow through a stenosed artery has been investigated in this paper. Blood has been represented by a nonnewtonian fluid obeying herschelbulkley equation. 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. A mathematical model of dispersed bioparticle blood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. Pdf modeling of blood flow through stenosed artery with. A nonnewtonian fluid model is used to investigate the twodimensional pulsatile blood flow through a tapered artery with a stenosis. Simulation of blood flow coronary artery with consecutive. Mechanics of blood flow through normal and stenotic.
It is assumed that the core and peripheral plasma layer behave as micropolar and newtonian fluids respectively. 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. The nonnewtonian fluid in the core region of the artery is assumed as a i herschelbulkley fluid and ii casson fluid. For the study of the effect of the pulsatile flow on the blood flow characteristics in an artery, the idealized pul. The present investigation deals with a twolayered mathematical model of blood flow through an artery provided with a cosineshaped constriction. Blood flow analysis in tapered stenosed arteries with. 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.
Twolayered pulsatile blood flow in a stenosed artery with body. Numerical simulation of nonlinear pulsatile newtonian blood. 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. Twofluid mathematical models for blood flow in stenosed. Blood is assumed to be an incompressible nonnewtonian fluid and its flow is considered as turbulence described by the reynoldsaveraged navierstokes equations. 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.
Twolayered model of blood flow through stenosed arteries. Mathematical modelling of blood flow through catheterized artery. Blood is represented by a twophase macroscopic model, i. Role of slip velocity in blood flow through stenosed arteries. 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. Bioparticles are assumed to be spherical shape with the same density as blood, and. Pdf computational modeling of nonnewtonian blood flow. A numerical study of hall current effect on the blood flow. 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. Numerical investigation on the blood flow characteristics. 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 investigation of pulsatile blood flow in stenosed.
The influence of geometrical shapes of stenosis on the. Blood flow through an inclined stenosed artery 239 2. The pulsatile blood flow in the curved artery with varying degree of stenosis was analyzed by ha and lee 2014. Woodruff school of mechanical engineering, georgia institute of technology, atlanta, georgia 303320405 abstract blood. Mondal 2005, considered unsteady analysis of nonnewtonian blood flow through tapered arteries with a stenosis by using difference scheme. Hemodynamic response continuously monitors and adjusts to conditions in the body and its environment. Mathematical modeling of blood flow 77 newtonian flow through tapered tubes.
Yunus 2017 the influence of geometrical shapes of stenosis on the blood flow in stenosed. 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. 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. Blocked vessel was of 75% blockage and the changes were investigated in flow field for 12. 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. 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. Thus hemodynamics explains the physical laws that govern the flow of blood in the blood vessels. Theoretical and practical investigation of blood flow through stenosed coronary lad artery sadiq j. On the other hand the unsteady blood flow through stenosed arteries is. 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. Similarly the conservation of momentum equation along the axis of symmetry as well as along the radial direction consists of a.
The heart is the driver of the circulatory system, pumping blood through rhythmic contraction and relaxation. The problem of nonnewtonian and nonlinear blood flow through a stenosed artery is. Tenforde, theretical analysis of magnetic field interactions with aortic blood flow, bioelecomagnetics 17 1996, 22. World journal of engineering research and technology wjert, 316. Mathematical modelling on blood flow through stenosed artery. Stenosed artery is the narrowing of the blood artery brought about by thickening of the vessel lumen due to accumulation of atherosclerotic plaque 23. Numerical and analytical study of twolayered unsteady blood. Computational modeling of nonnewtonian blood flow through stenosed arteries in the presence of magnetic field. Comparative mathematical study of blood flow through. Considered the problem of blood flow in an artery in the presence of multiirregular shape stenosis.
The blood flow through an axisymmetric stenosed artery is simulated in two dimensions by makin g use of a cylindrical coordinate system. Numerical simulation of generalized newtonian blood. Theoretical and practical investigation of blood flow. It was observed that the resistance to flow increases as stenosis size and peripheral layer viscosity increases. The circulatory system is controlled by homeostatic mechanisms, such as hydraulic circuits are controlled by control systems. Blood flow analysis of prandtl fluid model in tapered stenosed arteries. The geometry of the interface between the plasma layer and the core region has been determined and compared with that of the. Numerical simulation of nonlinear pulsatile newtonian blood flow through a multiple stenosed artery article pdf available in international scholarly research notices 2015. Numerical investigation of pulsatile blood flow in. Numerical investigation on the blood flow characteristics considering the axial rotation in stenosed artery koreaaustralia rheology journal june 2009 vol. The influence of geometrical shapes of stenosis on the blood.
Mathematical modeling of blood flow in an inclined tapered. Laminar steady flow of an incompressible casson fluid through a cylindrical artery having axially symmetric. 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. Geometry of the stenosed tapered artery for different taper angle. Nonnewtonian blood flow through stenosed coronary arteries.
An unsteady analysis of nonnewtonian blood flow through. The expressions for and s have been plotted for different values of parameters. The influence of geometrical shapes of stenosis on the blood flow in stenosed artery sarfaraz kamangar, and irfan anjum badruddin, and ahamad, n. In the present study, a twolayered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined.
Numerical simulation of dispersed particleblood flow in. Flow characteristics, wall pressure and wall shear rate have been studied in detail. Mathematical modeling of blood flow through vertebral. Modeling of non newtonian fluid for blood flow in stenosed. 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. Modeling of nonnewtonian blood flow through a stenosed. 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. Blood is considered a newtonian fluid and it is characterized by the generalized form of navierstokes equation. In another work, the regimes of blood flow were compared in aortacoronary and coronarycoronary bypass ahmadluye darab et al. The aim of this study is to investigate the flow mechanics of blood flow through stenosed artery of human body. Hence, numerical simulation using uidstructural interactions is becoming the preferred solution method. Theoretical and practical investigation of blood flow through. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible newtonian fluid described by the navierstokes equation.
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. The pulsative three dimensional blood flow was modelled for blockage of 50% by fluent software. Patient specific 3d modeling of blood flow in a multi. It is observed that flow velocity increased in the range from 0. Analysis of the effects of plaque deposits on the blood flow through human artery, int. Mathematical modelling on blood flow through stenosed artery under the influence of magnetic field s. Again, kumar and kumar 2009 gave an idea on oscillatory mhd flow of blood through an artery with mild stenosis. In view of the vital role played by coronary blood flow in maintain. These conditions may be linked to thrombus formation and excessive artery fatigue leading to stroke wootton, 1999. The model consists of a central core layer of erythrocytes surrounded by a peripheral plasma layer both with different viscosities. 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.
Mathematical modeling of nonnewtonian blood flow through. Blood being pumped out of the heart first enters the aorta, the largest artery of the body. Blood and blood vessels have mechanical properties and due to their unusual properties the study becomes very complicated. A mathematical model of dispersed bioparticleblood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. Hemodynamics or haemodynamics are the dynamics of blood flow.
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. Aug 28, 2015 in the present study, a twolayered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined. 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. They took a micropolar model of blood flow via a horizontal nonsymmetrical but vertically symmetric artery having a mild stenosis. Modelling of blood flow in stenosed arteries sciencedirect. The influence of minor stenoses on carotid artery flow. 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. The model consists of a peripheral plasma layer free from red cells and a core region represented by a casson fluid. Numerical investigation of blood flow through stenotic artery. They found that the peripheral layer viscosity of blood in diabetic patients is higher than in nondiabetic patients.
Numerical investigations of pulsatile flow in stenosed artery. The flow of blood in twodimensional through the constricted stenosed artery is investigated in this paper. The rate of blood flow out of the heart often expressed in lmin is known as the cardiac output co. Pdf numerical investigation of pulsatile blood flow in. Mathematical modeling of blood flow through vertebral artery. 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. Blood flow in arteries questions and answers in mri. Roy, pulsatile flow and heat transfer of a magneto micropolar fluid through a stenosed artery under the influence of body acceleration, journal of mechanics.
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