TY - JOUR

T1 - Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics

AU - Krivovichev, Gerasim Vladimirovich

N1 - Krivovichev, G.V. Comparison of Non-Newtonian Models of One-Dimensional Hemodynamics. Mathematics 2021, 9, 2459. https://doi.org/10.3390/math9192459

PY - 2021/10/1

Y1 - 2021/10/1

N2 - 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.

AB - 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.

KW - Blood flow

KW - Mathematical model

KW - Non-Newtonian fluid

UR - http://www.scopus.com/inward/record.url?scp=85116358782&partnerID=8YFLogxK

U2 - 10.3390/math9192459

DO - 10.3390/math9192459

M3 - Article

AN - SCOPUS:85116358782

VL - 9

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 19

M1 - 2459

ER -