Journal ArticleDOI
Shape optimization in steady blood flow: a numerical study of non-newtonian effects
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This work applies sensitivity-based optimization procedure to a flow through an idealized arterial graft, and introduces an additional factor in the form of a geometric parameter, and study its effect on the optimal shape obtained.Abstract:
We investigate the influence of the fluid constitutive model on the outcome of shape optimization tasks, motivated by optimal design problems in biomedical engineering. Our computations are based on the Navier-Stokes equations generalized to non-Newtonian fluid, with the modified Cross model employed to account for the shear-thinning behavior of blood. The generalized Newtonian treatment exhibits striking differences in the velocity field for smaller shear rates. We apply sensitivity-based optimization procedure to a flow through an idealized arterial graft. For this problem we study the influence of the inflow velocity, and thus the shear rate. Furthermore, we introduce an additional factor in the form of a geometric parameter, and study its effect on the optimal shape obtained.read more
Citations
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Journal ArticleDOI
Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method
J. Boyd,James Buick,Simon Green +2 more
TL;DR: It is found that compared to analogous Newtonian flows, both the Casson and Carreau-Yasuda flows exhibit significant differences in the steady flow situation, which may be important for the study of atherosclerotic progression.
Journal Article
A critical review on blood flow in large arteries; relevance to blood rheology, viscosity models, and physiologic conditions
TL;DR: In this paper, the authors focus on critical and commentary analysis on blood rheology, blood viscosity models, and physiological flow conditions and identify several basic gaps that limit the CFD model results and give opportunities for future research.
Journal ArticleDOI
The Rheology of Blood Flow in a Branched Arterial System.
TL;DR: The different hemorheological models are found to predict different results of hemodynamics variables which are known to impact the genesis of atherosclerosis and formation of thrombosis in this numerical study.
Journal ArticleDOI
Blood flow and coherent vortices in the normal and aneurysmatic aortas: a fluid dynamical approach to intra-luminal thrombus formation
TL;DR: A fluid-dynamics-motivated mechanism for platelet activation, convection and deposition in AAAs that has the potential of improving the current understanding of the pathophysiology of fluid-driven ILT growth.
Journal ArticleDOI
A review of computational fluid dynamics analysis of blood pumps
Mehdi Behbahani,Marek Behr,Marcus Hormes,Ulrich Steinseifer,Dhruv Arora,O. M. Coronado,Matteo Pasquali +6 more
TL;DR: This review focusses on the CFD-based design strategies applied to blood flow in blood pumps and other blood-handling devices and the literature is put into context.
References
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Book
Numerical Optimization
Jorge Nocedal,Stephen J. Wright +1 more
TL;DR: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization, responding to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems.
Book
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
TL;DR: In this paper, Schnabel proposed a modular system of algorithms for unconstrained minimization and nonlinear equations, based on Newton's method for solving one equation in one unknown convergence of sequences of real numbers.
Book
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
TL;DR: This paper presents the results of an analysis of the "Stream Function-Vorticity-Pressure" Method for the Stokes Problem in Two Dimensions and its applications to Mixed Approximation and Homogeneous Stokes Equations.
Book
Iterative Methods for Linear and Nonlinear Equations
TL;DR: Preface How to Get the Software How to get the Software Part I.
Journal ArticleDOI
Blood flow in arteries
TL;DR: The study of arterial blood flow will lead to the prediction of individual hemodynamic flows in any patient, the development of diagnostic tools to quantify disease, and the design of devices that mimic or alter blood flow.
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