TY - JOUR
T1 - The role of boundary conditions for modeling the blood flow in microvessels
AU - Kovtanyuk, A. E.
AU - Marushchenko, E. A.
AU - Lampe, R.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2023
Y1 - 2023
N2 - The article considers a mathematical model of blood motion in microvessels of diameter from 4 to 8 μm. The blood is considered as a fluid consisting of plasma and red blood cells (RBCs) fractions, wherein the RBCs fraction has much higher viscosity in contrast with the plasma fraction. As a numerical approach, the finite element method based on the Stokes equations with variable viscosity is applied. The adequacy of the model is assessed by comparing the numerical results and experimental (in vitro and in vivo) data. Different approaches to the construction of suitable boundary conditions are discussed and implemented.
AB - The article considers a mathematical model of blood motion in microvessels of diameter from 4 to 8 μm. The blood is considered as a fluid consisting of plasma and red blood cells (RBCs) fractions, wherein the RBCs fraction has much higher viscosity in contrast with the plasma fraction. As a numerical approach, the finite element method based on the Stokes equations with variable viscosity is applied. The adequacy of the model is assessed by comparing the numerical results and experimental (in vitro and in vivo) data. Different approaches to the construction of suitable boundary conditions are discussed and implemented.
UR - http://www.scopus.com/inward/record.url?scp=85164257705&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/2514/1/012012
DO - 10.1088/1742-6596/2514/1/012012
M3 - Conference article
AN - SCOPUS:85164257705
SN - 1742-6588
VL - 2514
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012012
T2 - 2nd International Workshop on Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems, MMSC 2022
Y2 - 4 October 2022 through 7 October 2022
ER -