One-Dimensional Model of Viscoelastic Blood Flow Through a Thin Elastic Vessel

2015 ◽  
Vol 207 (2) ◽  
pp. 249-269 ◽  
Author(s):  
V. A. Kozlov’ ◽  
S. A. Nazarov
Keyword(s):  
Blood Flow ◽  
Dimensional Model ◽  
One Dimensional ◽  
Elastic Vessel ◽  
Flow Through

scholarly journals A one-dimensional model of viscous blood flow in an elastic vessel

2016 ◽  
Vol 274 ◽  
pp. 125-132 ◽  
Author(s):  
Fredrik Berntsson ◽  
Matts Karlsson ◽  
Vladimir Kozlov ◽  
Sergey A. Nazarov
Keyword(s):  
Blood Flow ◽  
Dimensional Model ◽  
One Dimensional ◽  
Elastic Vessel

A one dimensional model of blood flow through a curvilinear artery

2018 ◽  
Vol 63 ◽  
pp. 633-643 ◽  
Author(s):  
F. Berntsson ◽  
A. Ghosh ◽  
V.A. Kozlov ◽  
S.A. Nazarov
Keyword(s):  
Blood Flow ◽  
Dimensional Model ◽  
One Dimensional ◽  
Flow Through

Fluid Flow Through Microscale Fractal-Like Branching Channel Networks

2003 ◽  
Author(s):  
Ali Y. Alharbi ◽  
Deborah V. Pence ◽  
Rebecca N. Cullion
Keyword(s):  
Three Dimensional ◽  
Dimensional Model ◽  
Flow Networks ◽  
Channel Networks ◽  
One Dimensional ◽  
Fluid Properties ◽  
Flow Through ◽  
Minor Losses ◽  
Branching Flow ◽  
The One

Flow through fractal-like branching flow networks is investigated using a three-dimensional computational fluid dynamics approach. Results are used to assess the validity of, and provide insight for improving, assumptions imposed in a one-dimensional model previously developed. Assumptions in the one-dimensional model include (1) reinitiating boundary layers following each bifurcation, (2) negligible minor losses at the bifurcations, and (3) constant thermophysical fluid properties. It is concluded that the temperature dependence of fluid properties, boundary layer development, and minor losses following a bifurcation are not negligible in analyses of branching flow networks.

A One-Dimensional Viscous-Inviscid Strong Interaction Model for Flow in Indented Channels With Separation and Reattachment

2003 ◽  
Vol 125 (3) ◽  
pp. 355-362 ◽  
Author(s):  
S. G. C. Kalse ◽  
H. Bijl ◽  
B. W. van Oudheusden
Keyword(s):  
Boundary Layer ◽  
Boundary Layers ◽  
Present Model ◽  
Interaction Model ◽  
Dimensional Model ◽  
One Dimensional ◽  
Flow Models ◽  
Flow Through ◽  
Layer Flow ◽  
Semi Empirical

A new one-dimensional model is presented for the calculation of steady and unsteady flow through an indented two-dimensional channel with separation and reattachment. It is based on an interactive boundary layer approach, where the equations for the boundary layer flow near the channel walls and for an inviscid core flow are solved simultaneously. This approach requires no semi-empirical inputs, such as the location of separation and reattachment, which is an advantage over other existing one-dimensional models. Because of the need of an inviscid core alongside the boundary layers, the type of inflow as well as the length of the channel and the value of the Reynolds number poses some limitations on the use of the new model. Results have been obtained for steady flow through the indented channel of Ikeda and Matsuzaki. In further perspective, it is discussed how the present model, in contrast to other one-dimensional flow models, can be extended to calculate the flow in nonsymmetrical channels, by considering different boundary layers on each of the walls.

Modeling of Blood Flow in the Human Brain

2010 ◽  
Author(s):  
Md. Shahadat Hossain ◽  
Bhavin Dalal ◽  
Ian S. Fischer ◽  
Pushpendra Singh ◽  
Nadine Aubry
Keyword(s):  
Blood Flow ◽  
Human Brain ◽  
Flow Rate ◽  
Regulatory Mechanisms ◽  
Dimensional Model ◽  
Normal Range ◽  
One Dimensional ◽  
Baseline Levels ◽  
The Individual ◽  
The Brain

The non-Newtonian properties of blood, i.e., shear thinning and viscoelasticity, can have a significant influence on the distribution of Cerebral Blood Flow (CBF) in the human brain. The aim of this work is to quantify the role played by the non-Newtonian nature of blood. Under normal conditions, CBF is autoregulated to maintain baseline levels of flow and oxygen to the brain. However, in patients suffering from heart failure (HF), Stroke, or Arteriovenous malformation (AVM), the pressure in afferent vessels varies from the normal range within which the regulatory mechanisms can ensure a constant cerebral flow rate, leading to impaired cerebration in patients. It has been reported that the change in the flow rate is more significant in certain regions of the brain than others, and that this might be relevant to the pathophysiological symptoms exhibited in these patients. We have developed mathematical models of CBF under normal and the above disease conditions that use direct numerical simulations (DNS) for the individual capillaries along with the experimental data in a one-dimensional model to determine the flow rate and the methods for regulating CBF. The model also allows us to determine which regions of the brain would be affected relatively more severely under these conditions.

Chaotic Oscillations in a Simple Collapsible-Tube Model

1992 ◽  
Vol 114 (1) ◽  
pp. 55-59 ◽  
Author(s):  
O. E. Jensen
Keyword(s):  
Internal Flow ◽  
Tube Model ◽  
Steady Flows ◽  
Collapsible Tube ◽  
Laboratory Apparatus ◽  
Chaotic Oscillations ◽  
Dimensional Model ◽  
One Dimensional ◽  
Flow Through ◽  
Relaxation Structure

A steady flow through a segment of externally pressurized, collapsible tube can become unstable to a wide variety of self-excited oscillations of the internal flow and tube walls. A simple, one-dimensional model of the conventional laboratory apparatus, which has been shown previously to predict steady flows and multiple modes of oscillation, is investigated numerically here. Large amplitude oscillations are shown to have a relaxation structure, and the nonlinear interaction between different modes is shown to give rise to quasiperiodic and apparently aperiodic behavior. These predictions are shown to compare favorably with experimental observations.

Fluid Flow Through Microscale Fractal-Like Branching Channel Networks

2003 ◽  
Vol 125 (6) ◽  
pp. 1051-1057 ◽  
Author(s):  
Ali Y. Alharbi ◽  
Deborah V. Pence ◽  
Rebecca N. Cullion
Keyword(s):  
Boundary Layers ◽  
Three Dimensional ◽  
Heat Fluxes ◽  
Dimensional Model ◽  
Local Pressure ◽  
Flow Area ◽  
One Dimensional ◽  
Fluid Properties ◽  
Flow Through ◽  
The One

Flow through fractal-like branching networks is investigated using a three-dimensional computational fluid dynamics approach. Results are used to assess the validity of, and provide insight for improving, assumptions imposed in a previously developed one-dimensional model. Assumptions in the one-dimensional model include (1) reinitiating boundary layers following each bifurcation, (2) constant thermophysical fluid properties, and (3) negligible minor losses at the bifurcations. No changes to the redevelopment of hydrodynamic boundary layers following a bifurcation are recommended. It is concluded that temperature varying fluid properties should be incorporated in the one-dimensional model to improve its predictive capabilities, especially at higher imposed heat fluxes. Finally, a local pressure recovery at each bifurcation results from an increase in flow area. Ultimately, this results in a lower total pressure drop and should be incorporated in the one-dimensional model.

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