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Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics
- Source :
- Mathematics, Volume 9, Issue 19, Mathematics, Vol 9, Iss 2459, p 2459 (2021)
- Publication Year :
- 2021
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2021.
-
Abstract
- 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.
- Subjects :
- medicine.diagnostic_test
General Mathematics
Quantitative Biology::Tissues and Organs
Hemodynamics
Mechanics
Blood flow
non-Newtonian fluid
Hematocrit
Non-Newtonian fluid
Flattening
Nonlinear system
Computer Science (miscellaneous)
Newtonian fluid
medicine
QA1-939
blood flow
Constant (mathematics)
Engineering (miscellaneous)
Mathematics
mathematical model
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....fb553eb2840998eba606121441fb2924
- Full Text :
- https://doi.org/10.3390/math9192459