TY - JOUR

T1 - Analytical solutions of the problems for equations of one-dimensional hemodynamics

AU - Tkachenko, P.S.

AU - Krivovichev, G.V.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2019/12/11

Y1 - 2019/12/11

N2 - The paper is devoted to the construction of an analytical solution of the initial problem for the one-dimensional system of equations of non-Newtonian hemodynamics. In the model, the blood is considered as the power-law fluid. The perturbation method for the solution is proposed. The cases of the first and second perturbations are considered. The obtained solutions can be used for the comparison of different rheological models of blood or for the testing of programs, which realize the numerical algorithms.

AB - The paper is devoted to the construction of an analytical solution of the initial problem for the one-dimensional system of equations of non-Newtonian hemodynamics. In the model, the blood is considered as the power-law fluid. The perturbation method for the solution is proposed. The cases of the first and second perturbations are considered. The obtained solutions can be used for the comparison of different rheological models of blood or for the testing of programs, which realize the numerical algorithms.

KW - BLOOD-FLOW

UR - http://www.scopus.com/inward/record.url?scp=85077575431&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1400/4/044031

DO - 10.1088/1742-6596/1400/4/044031

M3 - Conference article

VL - 1400

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 4

M1 - 044031

T2 - International Conference PhysicA.SPb 2019

Y2 - 22 October 2019 through 24 October 2019

ER -