Comparison of inviscid and viscid one-dimensional models of blood flow in arteries

2022 ◽  
Vol 418 ◽  
pp. 126856
Author(s):  
Gerasim V. Krivovichev
Keyword(s):  
Blood Flow ◽  
One Dimensional ◽  
Dimensional Models

scholarly journals Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2459
Author(s):  
Gerasim Vladimirovich Krivovichev
Keyword(s):  
Blood Flow ◽  
Analytical Solution ◽  
Velocity Profile ◽  
Small Parameter ◽  
Perturbation Method ◽  
Nonlinear Problem ◽  
One Dimensional ◽  
Large Arteries ◽  
Newtonian Model ◽  
Dimensional Models

The paper is devoted to the comparison of different one-dimensional models of blood flow. In such models, the non-Newtonian property of blood is considered. It is demonstrated that for the large arteries, the small parameter is observed in the models, and the perturbation method can be used for the analytical solution. In the paper, the simplified nonlinear problem for the semi-infinite vessel with constant properties is solved analytically, and the solutions for different models are compared. The effects of the flattening of the velocity profile and hematocrit value on the deviation from the Newtonian model are investigated.

One-dimensional models for blood flow in arteries

2003 ◽  
Vol 47 (3/4) ◽  
pp. 251-276 ◽  
Author(s):  
Luca Formaggia ◽  
Daniele Lamponi ◽  
Alfio Quarteroni
Keyword(s):  
Blood Flow ◽  
One Dimensional ◽  
Dimensional Models

Computer Simulations for Some One-Dimensional Models of Random Walks in Fluctuating Random Environment

2005 ◽  
Vol 121 (3-4) ◽  
pp. 361-372 ◽  
Author(s):  
C. Boldrighini ◽  
G. Cosimi ◽  
S. Frigio ◽  
A. Pellegrinotti
Keyword(s):  
Random Walks ◽  
Computer Simulations ◽  
Random Environment ◽  
One Dimensional ◽  
Dimensional Models
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