Title :
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
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;
Conference_Titel :
Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
Conference_Location :
Saint Petersburg
DOI :
10.1109/POLYAKHOV.2015.7106747
