Comparative analysis of numerical simulations of blood flow through the segment of an artery in the presence of stenosis (original) (raw)
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Mathematical Model for Behaviour of Blood Flow in Artery through Stenosis
Iconic Research and Engineering Journals, 2020
The aim of this paper is to develop a mathematical model for studying the non-Newtonian flow of blood through a stenosed arterial segment. Power law fluid represents the non-Newtonian character of blood. The hemodynamic behavior of the blood flow is influenced by the presence of the arterial stenosis. The problem is solved by using analytical techniques with help of boundary conditions and results are displayed graphically for different flow characteristics like pressure drop, shear stress, velocity profile. For the validation of numerical model, the computation results are compared with the results from published literature. Indexed Terms-Herschel-Bulkley fluid, power law fluid model, pressure drop, stenosis height, shear stress
Mathematical modelling of flow through an irregular arterial stenosis
Journal of Biomechanics, 1991
A mathematical model of flow through an irregular arterial stenosis is developed. The model is two-dimensional and axi-symmetric with the stenosis outline obtained from a three-dimensional casting of a mildly st&osed artery. Agreement between modelled and experimental pressure drops (obtained from an axi-symm&ic machined stenosis with the same proBe) is excellent.
A numerical simulation of unsteady blood flow through multi-irregular arterial stenoses
Applied Mathematical Modelling, 2010
An unsteady mathematical model to study the characteristics of blood flowing through an arterial segment in the presence of a couple of stenoses with surface irregularities is developed. The flow is treated to be axisymmetric, with an outline of the stenoses obtained from a three dimensional casting of a mildly stenosed artery [1], so that the flow effectively becomes two-dimensional. The governing equations of motion accompanied by appropriate choice of boundary and initial conditions are solved numerically by MAC (Marker and Cell) method in cylindrical polar coordinate system in staggered grids and checked numerical stability with desired degree of accuracy. The pressure-Poisson equation has been solved by successive-over-relaxation (SOR) method and the pressure-velocity correction formulae have been derived. The flexibility of the arterial wall has also been accounted for in the present investigation. Further, in-depth study in the flow pattern reveals that the separation Reynolds number for the multi-irregular stenoses is lower than those for cosine-shaped stenoses and a long single irregular stenosis. The present results predict the excess pressure drop across the cosine stenoses than the irregular ones and show quite consistency with several existing results in the literature which substantiate sufficiently to validate the applicability of the model under consideration.
Mathematical modelling of blood flow through an overlapping arterial stenosis
Mathematical and Computer Modelling, 1994
of concern in the paper is a theoretical study of blood flow in an arterial segment in the presence of a time-dependent overlapping stenosis using an appropriate mathematical model. A remarkably new shape of the stenosis in the realm of the formation of the arterial narrowing caused by atheroma is constructed mathematically. The artery is simulated as an elastic (moving wall) cylindrical tube containing a viscoelastic fluid representing blood. The unsteady flow mechanism of the present investigation is subjected to a pulsatile pressure gradient arising from the normal functioning of the heart. The equations governing the motion of the system are sought in the Laplace transform space and their relevant solutions supplemented by the suitable boundary conditions are obtained numerically in the transformed domain through the use of an appropriate finite difference technique. Laplace inversion is also carried out by employing numerical techniques. A thorough quantitative analysis is performed at the end of the paper for the flow velocity, the flux, the resistive impedances, and the wall shear stresses together with their variations with the time, the pressure gradient, and the severity of the stenosis in order to illustrate the applicability of the present mathematical model under consideration.
Two-Phase Model for the Study of Blood Flow Through Stenosed Artery
2011
In this present study the influence of peripheral layer viscosity on physiological characteristics of blood flow through stenosed artery using Power–law fluid model is investigated. The hemodynamics behavior of the blood flow is influenced by the presence of the arterial stenosis. If the stenosis is present in an artery, normal blood flow is disturbed. The non-linear pressure equations have been solved with help of boundary conditions and result are displayed graphically for different flow characteristics. It is found that the resistance to flow decreases as stenosis shape parameter increases and increases as stenosis length, stenosis size, peripheral layer viscosity increases. Comparisons between the measured and computed peripheral layer viscosity profiles are favorable to our solutions. For the validation of numerical model, the computation results are compared with the experimental data and results from published literature.
A Mathematical Model for Blood Flow in a Multiple Stenosis Artery
In this paper a mathematical model has been developed in order to examine the pressure gradient and wall shear stress with hematocrit of red blood cell. The blood indicating usefulness of its rheological character in the functioning of the diseased arterial circulation. Out of this theoretical result the numerical solutions of wall shear and pressure gradient are shown graphically for better understanding of the problem.
Numerical Analysis of Blood Flow through Multiple Stenosis Right Coronary Artery
2018
The effect of stenosis on pulsatile blood flow through multiple stenosis right coronary artery (RCA) was found by using computational fluid dynamics (CFD). The data of this study were taken from Catheterization Laboratory in Basra Cardiac Center. The case used is for woman has three stenosis in her RCA with different stenosis ratios which are; 75.15%, 41.21%, and 32.09% respectively. A non-Newtonian blood model characterized by Carreau equation, as well as Newtonian model of blood viscosity was used in the flow simulation. The simulations were performed by using ANSYS FLUENT software based on the finite volume method. The study shows that, non-Newtonian viscosity of blood flow is inversely proportional with shear rate distributions and its effects occurring close to the centerline of flow. The hemodynamics characteristics (velocity, pressure drop, and wall shear stress) increases with increase stenosis ratio for multiple stenosis RCA. In addition, comparison between two viscosity mo...
Computer simulation of arterial flow with applications to arterial and aortic stenoses
Journal of Biomechanics, 1992
A computer model for simulating pressure and flow propagation in the human arterial system is developed. The model is based on the one-dimensional flow equations and includes nonlinearities arising from geometry and material properties. Fifty-five arterial segments, representing the various major arteries, are combined to form the model of the arterial system. Particular attention is paid to the development of peripheral pressure and flow pulses under normal flow conditions and under conditions of arterial and aortic stenoses. Results show that the presence of severe arterial stenoses significantly affects the nature of the distal pressure and flow pulses. Aortic stenoses also have a prbfound effect on central and peripheral pressure pulse formation. Comparison with the published experimental data suggests that the model is capable of simulating arterial flow under normal flow conditions as well as conditions of stenotic obstructions in a satisfactory manner.
2005
Atherosclerosis is a disease of arteries in which localized deposits and accumulation of cholesterol and lipid substances, as well as proliferation of connective tissues, cause a partial reduction in the arterial cross-sectional area (stenosis). This paper presents a computational fluid dynamics modeling for the analysis of pulsatile blood flow in idealized normal artery (no area reduction) and in axisymmetric stenosed artery (33% of area reduction). This study assumes the vessel as a rigid wall tube and the blood flow is considered to be incompressible homogeneous Newtonian fluid and axisymmetric. For modeling Dirichlet boundary conditions were applied at the inlet. A physiological waveform of the femoral artery of a dog was considered as a pulsatile velocity input and with no slip boundary conditions applied at artery wall and pressure boundary conditions applied at the outlet. Two different CFD codes were comparatively used in this case, one based on Finite Element Method (FEM) a...
Analysis of Blood flow Through Artery with Mild Stenosis
Journal of Institute of Science and Technology
Arterial stenosis is an abnormal condition in arteries due to the deposition of fats and other substances, called atherosclerosis. As it restricts the blood flow, it may induce a heart attack. Employing the Navier-Stokes equations, we consider the blood flow in an artery with the presence of a stenosis in an axisymmetric shape. We analyze the blood flow dynamics in cylindrical form by evaluating pressure, pressure drop against the wall, shear stress on the wall. We also analyze the dynamics by evaluating the ratio of pressure drop with stenosis to the pressure drop without stenosis against the wall, and the ratio of maximum to minimum shear stresses with the ratios of various thicknesses of stenosis to radius of the artery.