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COBEM 2017
24th ABCM International Congress of Mechanical Engineering
A hyperbolic - regularized Casson model for pulsatile blood flow simulation in a rigid artery
Submission Author:
Fábio Martelli , PA
Co-Authors:
Pedro Silva, Emanuel Macêdo, Fábio Martelli
Presenter: Fábio Martelli
doi://10.26678/ABCM.COBEM2017.COB17-1545
Abstract
The behavior of blood flow inside an artery is very difficult to describe due to the fact that it is constantly being pumped by the heart and is subjected to several factors, such as non-Newtonian viscosity, variation of the pressure and velocity gradients, body acceleration and so forth. All those factors make it a challenge to develop a mathematical model capable of describing all these physical phenomena. This work aims to develop a model in terms of a basic viscoelastic fluid flow under the effect of the Jeffreys model, and a regularized Casson model for viscosity. To solve this problem, the hyperbolic equation was implemented both in the symbolic manipulation software, Wolfram Mathematica, and in the FORTRAN software, where the effects of relaxation and retardation times and of the yield stress are used as basis for cases simulations. The model was successfully simulated and its parameters were satisfactorily observed, showing a good agreement with a previously known limit case.
Keywords
Blood flow, Jeffreys, Regularized Casson, Hyperbolic model
