Unsteady Non-Newtonian Solver on Unstructured Grid for the Simulation of Blood Flow

Li, Guojie; Chen, Bin; Zhou, Gaoling

doi:10.1155/2013/596172

Cited by 9 publications

(4 citation statements)

References 40 publications

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“…Governing equations for FSI case are written as where . The blood may be modeled using the original Casson fluid constitutive equation over a diverse range of shear rates 34 where , , , and represents the yield stress, Casson viscosity, and shear strain rate respectively. The shear strain rate is defined as …”

Section: Mathematical Modelingmentioning

confidence: 99%

Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls

Shahzad

Wang

Ghaffari

et al. 2022

Sci Rep

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Fluid–structure interaction (FSI) gained a huge attention of scientists and researchers due to its applications in biomedical and mechanical engineering. One of the most important applications of FSI is to study the elastic wall behavior of stenotic arteries. Blood is the suspension of various cells characterized by shear thinning, yield stress, and viscoelastic qualities that can be assessed by using non-Newtonian models. In this study we explored non-Newtonian, incompressible Casson fluid flow in a bifurcated artery with a stenosis. The two-dimensional Casson model is used to study the hemodynamics of the flow. The walls of the artery are supposed to be elastic and the stenosis region is constructed in both walls. Suitable scales are used to transform the nonlinear differential equations into a dimensionless form. The problem is formulated and discretized using Arbitrary Lagrangian–Eulerian (ALE) approach. The finite element method (FEM) technique is used to solve the system of equations, together with appropriate boundary conditions. The analysis is carried out for the Bingham number, Hartmann number, and Reynolds number. The graphical results of pressure field, velocity profile, and load on the walls are assessed and used to study the influence of hemodynamic effects on stenotic arteries, bifurcation region, and elastic walls. This study shows that there is an increase in wall shear stresses (WSS) with increasing values of Bingham number and Hartmann number. Also, for different values of the Bingham number, the load on the upper wall is computed against the Hartmann number. The result indicate that load at the walls increases as the values of Bingham number and Hartmann number increase.

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Section: Mathematical Modelingmentioning

confidence: 99%

Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls

Shahzad

Wang

Ghaffari

et al. 2022

Sci Rep

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“…Blood flow ensures the transportation of nutrients, hormones, metabolic waste products, oxygen, and carbon dioxide throughout the body to maintain cell-level metabolism, the regulation of the pH, osmotic pressure, and temperature of the whole body, and the protection from microbial and mechanical harm. With the development of computational biomechanics, some researchers [1][2][3][4][5] have performed numerical simulations of blood flow. Blood has been considered a Newtonian fluid for decades, but recent experiments have shown that blood has pronounced viscoelastic behavior.…”

Section: Introductionmentioning

confidence: 99%

Computational fluid dynamics of coronary arteries with implanted stents: Effects of Newtonian and non‐Newtonian blood flows

Ahadi,

Biglari,

Azadi

et al. 2023

Engineering Reports

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This study introduces and compares computational fluid dynamics of Newtonian and non‐Newtonian blood flows in coronary arteries, with and without considering stents. Three blood flow models, including Newtonian, Carreau, and non‐Newtonian power‐law models, were simulated to investigate their effect, and the solution algorithm includes drawing the geometry, creating the desired mesh, and then simulating Newtonian and non‐Newtonian blood flow different models and comparing them with each other, is presented in the article. A Newtonian fluid model has been commonly used in the simulation of blood flow, whereas blood has non‐Newtonian properties due to the nature of a solution containing suspended particles. The goal of this research is to investigate the differences between the models built with Newtonian and non‐Newtonian fluid assumptions. In addition, a stent was designed and the effect of the stent on blood flow parameters was investigated for all three flow models, including Newtonian, Carreau, and non‐Newtonian power‐law models. Stents are medical devices that can be placed in arteries to open up blood flow in a blocked vessel. Stents can affect the wall shear stress. Knowing the slight deformation of the shear stress makes the importance of stent implantation and also helps to optimize the design of the intravascular stent, which can affect the occlusion of the vessels. The distribution of the velocity, pressure, and wall shear stress in all blood flow models with and without considering the effect of stents have been investigated and finally compared. Therefore, in general, the innovation of this article is to find the effect of implanted stents on blood flow parameters with different blood flow models, both Newtonian and non‐Newtonian. A comparison of Newtonian and non‐Newtonian flows showed that in the case of the Carreau non‐Newtonian model, the wall shear stress was higher. In addition, in the results of the geometric model with a stent effect compared to the geometric model without a stent effect, it is evident that there was a higher velocity and wall shear stress.

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“…Blood contains various cells including red blood cells, white blood cells, and platelets in plasma. With the development of computational biomechanics, some researchers [1][2][3][4][5] have performed numerical simulations of blood flow, but in numerical simulations, whether blood can be considered a Newtonian fluid or not is still a matter of debate. In general, blood is considered a non-Newtonian fluid.…”

Section: Introductionmentioning

confidence: 99%

3D computational fluid dynamics of Newtonian and non-Newtonian blood flow in coronary arteries with implanted stents

Ahadi

Azadi

Biglari

et al. 2023

Preprint

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This study introduces and compares computational fluid dynamics of Newtonian and non-Newtonian blood flow in coronary arteries with and without considering stents for the first time. Three blood flow models, including Newtonian, Carreau, and non-Newtonian power-law models, have been simulated to investigate their effect, and the solution algorithm includes drawing the geometry, creating the desired mesh, and then simulating Newtonian and non-Newtonian blood flow different models and comparing them with each other, is presented in the article. A Newtonian fluid model is commonly used in the simulation of blood flow, whereas blood has non-Newtonian properties due to the nature of a solution containing suspended particles. Our goal in this research is to investigate the differences between the models built with Newtonian and non-Newtonian fluid assumptions. Moreover, a stent has been designed and its effect has been investigated in all blood flow models. Stents are medical devices that can be placed in arteries to open up blood flow in a blocked vessel. In this regard, a lot of computational modeling and simulation has been done as an important tool to predict the performance of stents. The distribution of velocity, pressure, and wall shear stress in all blood flow models with and without considering the effect of stents have been investigated and finally compared. A comparison of Newtonian and non-Newtonian flows showed that in the case of the Carreau non-Newtonian model, the wall shear stress is higher. In addition, in the results of the geometric model with a stent effect compared to the geometric model without a stent effect, it is evident that there is a higher velocity and wall shear stress.

show abstract

Unsteady Non-Newtonian Solver on Unstructured Grid for the Simulation of Blood Flow

Cited by 9 publications

References 40 publications

Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls

Fluid structure interaction study of non-Newtonian Casson fluid in a bifurcated channel having stenosis with elastic walls

Computational fluid dynamics of coronary arteries with implanted stents: Effects of Newtonian and non‐Newtonian blood flows

3D computational fluid dynamics of Newtonian and non-Newtonian blood flow in coronary arteries with implanted stents

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