Pulsatile blood flow through stenosed artery with axial translation

2015 ◽  
Vol 08 (03) ◽  
pp. 1550028 ◽  
Author(s):  
Mukesh Kumar Sharma ◽  
P. R. Sharma ◽  
Vinay Nasha
Keyword(s):  
Blood Flow ◽  
Pressure Gradient ◽  
Ritz Method ◽  
Numerical Data ◽  
Pulsatile Blood Flow ◽  
Axial Translation ◽  
Stenosed Artery ◽  
Flow Through ◽  
Heart Contraction ◽  
Fourier Harmonics

The study of pulsatile blood flow through axisymmetric stenosed artery subject to an axial translation has been attempted with hematocrit concentration-dependent blood viscosity. The heart contraction and subsequent relaxation generate periodic pressure gradient in blood flow and translation in the artery can be represented by Fourier series. Numerical data required for computing Fourier harmonics for the pressure gradient and acceleration in the artery has been simulated from pressure waveform graph and biplanar angiogram. Velocity field has been obtained by solving governing equation using variational Ritz method. The hemodynamic indicators WSS, AWSS, OSI, RRT are derived and computed numerically. The effects of thickness of stenosis, and hematocrit concentration index on these indicators are computed and analyzed through graphs.

Modeling electro-magneto-hydrodynamic of blood flow in multi-stenosed artery using fractional deivatives without singular kernel

2020 ◽  
Author(s):  
F. J. Dzuliana ◽  
Uddin Salah ◽  
Roslan Rozaini ◽  
Md Akhir Mohd Kamalrulzaman
Keyword(s):  
Blood Flow ◽  
Pressure Gradient ◽  
Fractional Derivatives ◽  
Magnetic Particles ◽  
Circulatory System ◽  
Singular Kernel ◽  
Electric And Magnetic Fields ◽  
Stenosed Artery ◽  
Flow Through ◽  
Common Problems

Stenosis is one of the most common problems in blood flow through arteries. Stenosis means narrowing arteries. Among the various cardiovascular diseases, stenosis is a major one that affects blood flow in the arteries and becomes the leading cause of death worldwide. Therefore, several studies were conducted either experimentally or mathematically to understand stenosis effects on blood flow through arteries. This study investigates the Newtonian fluid’s electro-magneto-hydrodynamic flow mixed with uniformly distributed magnetic particles through a multi-stenosed artery. The fluid is acted by an arbitrary timedependent pressure gradient, external electric and magnetic fields, and the porous medium. The governing equations are considered as fractional partial differential equations based on the Caputo–Fabrizio time-fractional derivatives without singular kernel. The fractional model of blood flow in the multi-stenosed artery will be presented subject to several external factors. These include the severity of the stenosis and the magnetic particles with the presence of an electromagnetic field. The steady and unsteady parts of the pressure gradient that give rise to the systolic and diastolic pressures are considered as the pumping action of the heart, which in turn produces a pressure gradient throughout the human circulatory system. The fractionaloperator’s effect and pertinent system parameters on blood flow axial velocities are presented and discussed for future works.

scholarly journals Mathematical Modelling of Blood Flow through a Tapered Overlapping Stenosed Artery with Variable Viscosity

2014 ◽  
Vol 11 (4) ◽  
pp. 185-195 ◽  
Author(s):  
G. C. Shit ◽  
M. Roy ◽  
A. Sinha
Keyword(s):  
Magnetic Field ◽  
Blood Flow ◽  
Shear Stress ◽  
Wall Shear Stress ◽  
Pressure Gradient ◽  
Variable Viscosity ◽  
Stenosed Artery ◽  
Flow Through ◽  
Wall Shear ◽  
Analytical Expressions

This paper presents a theoretical study of blood flow through a tapered and overlapping stenosed artery under the action of an externally applied magnetic field. The fluid (blood) medium is assumed to be porous in nature. The variable viscosity of blood depending on hematocrit (percentage volume of erythrocytes) is taken into account in order to improve resemblance to the real situation. The governing equation for laminar, incompressible and Newtonian fluid subject to the boundary conditions is solved by using a well known Frobenius method. The analytical expressions for velocity component, volumetric flow rate, wall shear stress and pressure gradient are obtained. The numerical values are extracted from these analytical expressions and are presented graphically. It is observed that the influence of hematocrit, magnetic field and the shape of artery have important impact on the velocity profile, pressure gradient and wall shear stress. Moreover, the effect of primary stenosis on the secondary one has been significantly observed.

A Non-Newtonian Fluid Flow Model for the Slip Condition on Blood Flow through a Stenosed Artery using Power-law Fluid

2018 ◽  
Vol 9 (7) ◽  
pp. 871-879
Author(s):  
Rajesh Shrivastava ◽  
R. S. Chandel ◽  
Ajay Kumar ◽  
Keerty Shrivastava and Sanjeet Kumar
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Model ◽  
Slip Condition ◽  
Power Law Fluid ◽  
Stenosed Artery ◽  
Flow Through

scholarly journals A Simple Transient Poiseuille-Based Approach to Mimic the Womersley Function and to Model Pulsatile Blood Flow

Dynamics ◽  
2021 ◽  
Vol 1 (1) ◽  
pp. 9-17
Author(s):  
Andrea Natale Impiombato ◽  
Giorgio La Civita ◽  
Francesco Orlandi ◽  
Flavia Schwarz Franceschini Zinani ◽  
Luiz Alberto Oliveira Rocha ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Blood Flow ◽  
Boundary Conditions ◽  
Quadratic Function ◽  
Pulsatile Blood Flow ◽  
Flow Through ◽  
Simplified Analysis ◽  
Function Models ◽  
Flow Reversals

As it is known, the Womersley function models velocity as a function of radius and time. It has been widely used to simulate the pulsatile blood flow through circular ducts. In this context, the present study is focused on the introduction of a simple function as an approximation of the Womersley function in order to evaluate its accuracy. This approximation consists of a simple quadratic function, suitable to be implemented in most commercial and non-commercial computational fluid dynamics codes, without the aid of external mathematical libraries. The Womersley function and the new function have been implemented here as boundary conditions in OpenFOAM ESI software (v.1906). The discrepancy between the obtained results proved to be within 0.7%, which fully validates the calculation approach implemented here. This approach is valid when a simplified analysis of the system is pointed out, in which flow reversals are not contemplated.

scholarly journals Characteristics of Pulsatile Blood Flow Through 3-D Geometry of Arterial Stenosis

2015 ◽  
Vol 105 ◽  
pp. 877-884 ◽  
Author(s):  
Khairuzzaman Mamun ◽  
Most. Nasrin Akhter ◽  
Md. Shirazul Hoque Mollah ◽  
Md. Abu Naim Sheikh ◽  
Mohammad Ali
Keyword(s):  
Blood Flow ◽  
Arterial Stenosis ◽  
Pulsatile Blood Flow ◽  
Flow Through
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