Journal ArticleDOI
Analysis of non-linear pulsatile blood flow in arteries.
Kazuko Imaeda,Frank O. Goodman +1 more
TLDR
The computational method developed by Ling and Atabek (1972) is extended to include effects of viscoelasticity of arterial walls and stability of the computations is considered.About:
This article is published in Journal of Biomechanics.The article was published on 1980-01-01. It has received 47 citations till now. The article focuses on the topics: Pulsatile flow.read more
Citations
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Journal ArticleDOI
An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis
TL;DR: In this article, the problem of non-Newtonian and nonlinear blood flow through a stenosed artery is solved numerically where the nonlinear rheology of the flowing blood is characterised by the generalised Power-law model.
Journal ArticleDOI
HemeLB: A high performance parallel lattice-Boltzmann code for large scale fluid flow in complex geometries
Marco D. Mazzeo,Peter V. Coveney +1 more
TL;DR: The lattice-Boltzmann model and the structure of the code are discussed, and the fluid solver is highly optimized and the resulting computational core is very fast.
Journal ArticleDOI
Analysis of 3D transient blood flow passing through an artificial aortic valve by Lattice–Boltzmann methods
TL;DR: The simulation of three-dimensional transient physiological flows in fixed geometries similar to a CarboMedics bileaflet heart valve at different opening angles using the Lattice Boltzmann method yields reasonable results for velocity and shear stress fields.
Journal ArticleDOI
Two-dimensional blood flow through tapered arteries under stenotic conditions
TL;DR: In this article, a mathematical model of non-linear two-dimensional blood flow in tapered arteries in the presence of stenosis is developed, where the vascular wall deformability is taken to be elastic while the flowing blood contained in it is treated to be Newtonian.
Journal ArticleDOI
Mathematical modelling of pulsatile flow of Casson's fluid in arterial stenosis
TL;DR: Many standard results regarding Casson and Newtonian fluids flow, uniform and steady flow in an artery can be obtained in the present analysis as the special cases.
References
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Journal ArticleDOI
A nonlinear analysis of pulsatile flow in arteries.
S. C. Ling,H. B. Atabek +1 more
TL;DR: In this paper, an approximate numerical method for calculating flow profiles in arteries is developed, which takes into account the nonlinear terms of the Navier-Stokes equations as well as the non-linear behaviour and large deformations of the arterial wall.
Journal ArticleDOI
A Theory of Fluid Flow in Compliant Tubes
TL;DR: Starting with the Navier-Stokes equations, a system of equations is obtained to describe quasi-one-dimensional behavior of fluid in a compliant tube, and the final set of equations are quasi-linear and hyperbolic.
Journal ArticleDOI
Arterial viscoelasticity: a generalized model. Effect on input impedance and wave travel in the systematic tree.
TL;DR: A new mathematical model for the wall properties emerges, which accounts in quantitative terms for the frequency dependence of the Young modulus, stress-relaxation, creep, and hysteresis, and covers all the known aspects of the viscoelastic wall properties.
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Nonlinear analysis of aortic flow in living dogs.
TL;DR: A nonlinear theory which considered the convective accelerations of blood and the nonlinear elastic behavior and taper angle of the vascular wall showed that for high flow rates the magnitude of the peak wall-shear stress became comparable to the yield stress of the endothelial surface and that radial flows of significant magnitude existed with respect to the arterial wall.
Journal ArticleDOI
Numerical Hydrodynamic Calculations of Catheter Characteristics
TL;DR: It is shown that there exists a functional relationship between the parameter gamma and the nondimensional parameter alpha(10) which gives reasonable agreements with all the experimental data considered.