Approximation of the oscillatory blood flow using the Carreau viscosity model

Author

Kutev, Nikolay ; Tabakova, Sonia ; Radev, Stefan

Author_Institution

Inst. of Math. & Inf., Sofia, Bulgaria

fYear

2015

fDate

2-6 Feb. 2015

Firstpage

1

Lastpage

4

Abstract

The analysis of non-Newtonian flows in tubes is very important when studying the blood flow in different types of arteries. Usually the blood viscosity is defined by shear-dependent models, for example by the Carreau model, which represents the viscosity as a non-linear function of the shear-rate. In this paper the unsteady (oscillatory) 2D model of the blood flow in a straight tube is discussed theoretically and numerically. The solution of the quasilinear parabolic equation for the velocity is constructed using appropriate analytical functions. Further the corresponding numerical solution is approximated by similar analytical functions.

Keywords

blood vessels; flow simulation; haemodynamics; haemorheology; non-Newtonian flow; nonlinear functions; numerical analysis; parabolic equations; partial differential equations; physiological models; pipe flow; shear flow; viscosity; 2D blood flow model; Carreau viscosity model; analytical function; arterial blood flow; artery type; blood viscosity; flow velocity; nonNewtonian flow analysis; nonlinear function; numerical analysis; oscillatory 2D model; oscillatory blood flow approximation; quasilinear parabolic equation; shear rate; shear-dependent model; tube flow analysis; unsteady 2D model; Arteries; Blood; Electron tubes; Mathematical model; Numerical models; Stress; Viscosity;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on

Conference_Location

Saint Petersburg

Type

conf

DOI

10.1109/POLYAKHOV.2015.7106747

Filename

7106747