Leveraging elasticity of blood stenosis to detect the role of a non-Newtonian flow midst an arterial tube: Mazumdar and Keller models

Awad, A.M.; Mekheimer, Kh. S.; Elkilany, S. A.; Zaher, A. Z.

doi:10.1016/j.cjph.2022.04.006

Cited by 27 publications

(12 citation statements)

References 25 publications

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“…Borghi et al (2008) used an isotropic hyperelastic material model to numerically simulate three different shapes of aortic aneurysms on the descending aorta of a specific patient and found that the distribution and values of the wall stress were closely related to the three-dimensional shape of the wall. Awad et al (2022) found that an increase in parameters related to wall elasticity promoted blood flow in the narrow area. In this paper, an isotropic hyperelastic model will be adopted.…”

Section: Hff 337mentioning

confidence: 99%

Fluid flow and heat transfer in carotid sinuses of different sizes and locations in an open surgery: CFD vs FSI

et al. 2023

HFF

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Purpose Atherosclerosis tends to occur in the distinctive carotid sinus, leading to vascular stenosis and then causing death. The purpose of this paper is to investigate the effect of sinus sizes, positions and hematocrit on blood flow dynamics and heat transfer by different numerical approaches. Design/methodology/approach The fluid flow and heat transfer in the carotid artery with three different sinus sizes, three different sinus locations and four different hematocrits are studied by both computational fluid dynamics (CFD) and fluid-structure interaction (FSI) methods. An ideal geometric model and temperature-dependent non-Newtonian viscosity are adopted, while the wall heat flux concerning convection, radiation and evaporation is used. Findings With increasing sinus size, the average velocity and temperature of the blood fluid decrease, and the area of time average wall shear stress (TAWSS)with small values decreases. As the distances between sinuses and bifurcation points increase, the average temperature and the maximum TAWSS decrease. Atherosclerosis is more likely to develop when the sinuses are enlarged, when the sinuses are far from bifurcation points, or when the hematocrit is relatively large or small. The probability of thrombosis forming and developing becomes larger when the sinus becomes larger and the hematocrit is small enough. The movement of the arterial wall obviously reduces the velocity of blood flow, blood temperature and WSS. This study also suggests that the elastic role of arterial walls cannot be ignored. Originality/value The hemodynamics of the internal carotid artery sinus in a carotid artery with a bifurcation structure have been investigated thoroughly, on which the impacts of many factors have been considered, including the non-Newtonian behavior of blood and empirical boundary conditions. The results when the FSI is considered and absent are compared.

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Section: Hff 337mentioning

confidence: 99%

Fluid flow and heat transfer in carotid sinuses of different sizes and locations in an open surgery: CFD vs FSI

et al. 2023

HFF

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“…ese microorganisms are to batter infected hypoxic tumor cells as drug carriers [46]. Awad et al [47] studied the flow of a non-Newtonian fluid with nonzero yield stress [47]. Navier stokes equation is used to simulate this subject mathematically.…”

Section: For Non-newtonian Motionmentioning

confidence: 99%

“…Navier stokes equation is used to simulate this subject mathematically. e elasticity on the stenosis arterial walls is simulated by Rubinow and Keller model and the Mazumdar model [47]. Kumawat et al [22] mathematically analyze two-phase blood flow through a stenosed curved artery with hematocrit and temperature dependent viscosity [22].…”

Section: For Non-newtonian Motionmentioning

confidence: 99%

Roll of Newtonian and Non-Newtonian Motion in Analysis of Two-Phase Hepatic Blood Flow in Artery during Jaundice

Singh

Khan

Kushwaha

et al. 2022

International Journal of Mathematics and Mathematical Sciences

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Biomathematics is an interdisciplinary subject consisting of mathematics and biology, which is widely applicable for the analysis of biological problems. In this paper, we provide a mathematical model of two-phase hepatic blood flow in a jaundice patient’s artery. The blood flow is thought to be a two-phased process. The clinical data of a jaundice patient (blood pressure and hemoglobin) is gathered. To begin, hemoglobin is transformed into hematocrit, and blood pressure is turned to a decline in blood pressure. For the examination of hepatic arteries in Newtonian and non-Newtonian movements, a mathematical model is constructed. The relationship between two-phase blood flow flux and blood pressure reduction in the hepatic artery is established. For various hematocrit levels, the blood pressure decrease is determined. The patient’s states are defined by the slope of the linear relationship between computed blood pressure decrease and hematocrit.

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“…Consequently, stenotic arteries are subject to significantly higher stress and resistive impedance to flow than the normal arteries. Enhanced comprehension of the rheological features of blood such an instance flow rate, velocity, and pressure gradient can help biomedical engineers for designing the biomedical equipment for various treatment (surgical) modalities [ 154 – 162 ].…”

Section: Introductionmentioning

confidence: 99%

A review on non-Newtonian fluid models for multi-layered blood rheology in constricted arteries

Wajihah

Sankar

2023

Arch Appl Mech

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Haemodynamics is a branch of fluid mechanics which investigates the features of blood when it flows not only via blood vessels of smaller/larger diameter, but also under normal as well as abnormal flow states, such as in the presence of stenosis, aneurysm, and thrombosis. This review aims to discuss the rheological properties of blood, geometry of constrictions, dilations and the emergence of single-layered fluid to four-layered fluid models. To discuss further the influence of the aforesaid parameters on the physiologically important flow quantities, the mathematical formulation and solution methodology of the two-layered and four layered arterial blood flow problems studied by the authors (Afiqah and Sankar in ARPN J Eng Appl Sci 15:1129--1143, 2020, Comput Methods Programs Biomed 199:105907, 2021. 10.1016/j.cmpb.2020.105907) are recalled. It should be pointed out that the increasing resistive impedance to flow in three distinct states encompassing healthy, anaemic, and diabetic demonstrates that the greater the restriction in the artery, very few blood is carried to the pathetic organs, leading to subjects’ death. It is also discovered that the pulsatile nature of blood movement produces a dynamic environment that poses a slew of intriguing and unstable fluid mechanical state. It is hoped that the intriguing results gathered from this literature survey and review conducted may help the medical practitioners to forecast blood behaviour mobility in stenotic arteries. Furthermore, the physiological information gathered from the available clinical data from the literature on patients diagnosed with diabetes and anaemia may be beneficial to doctors in deciding the therapeutic procedure for treating some particular cardiovascular disease.

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Leveraging elasticity of blood stenosis to detect the role of a non-Newtonian flow midst an arterial tube: Mazumdar and Keller models

Cited by 27 publications

References 25 publications

Fluid flow and heat transfer in carotid sinuses of different sizes and locations in an open surgery: CFD vs FSI

Fluid flow and heat transfer in carotid sinuses of different sizes and locations in an open surgery: CFD vs FSI

Roll of Newtonian and Non-Newtonian Motion in Analysis of Two-Phase Hepatic Blood Flow in Artery during Jaundice

A review on non-Newtonian fluid models for multi-layered blood rheology in constricted arteries

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