Computer simulation of blood flow in large arteries by a finite element method

Other Title(s)

محاكاة بالحاسوب لجريان الدم في الشرايين الكبيرة باستخدام طريقة العناصر المحددة

Dissertant

Sadiq, Hasanayn Abd al-Amir

Thesis advisor

Ubayd, Talib Abd al-Samad
Khami, Muhammad Jawar

University

University of Basrah

Faculty

Science College

Department

Department of Computer Science

University Country

Iraq

Degree

Master

Degree Date

2013

English Abstract

In this thesis, two-dimensional numerical simulations of blood flow are performed using finite element method, discretization in space on unstructured mesh.

This simulation is carry out to investigate the influence of abnormal effects of artery geometry on the behavior of steady and laminar flow of an incompressible and Newtonian blood within a stenosed 2D vessels (humane large arteries) with both symmetric and non-symmetric stenotic in different models, and also on the behavior of blood flow in arterial fusiform aneurysm.

Navier-stokes equation is applied to describe the flows in the arteries in this study.

The fully developed inlet flow and constant viscosity and density are imposed on the domain.

The Galerkin Finite Element Method has been employed to solve the governing equations.

No-slip boundary conditions are considered at the artery walls.

Very large sets of simultaneous algebraic equations have to be solved, and this can only be done economically with the aid of digital computers.

Newton method iterations are used for solving the nonlinear system.

In this work, the Blood Flow Simulation program (BFS) to simulate blood flow by finite element method is written in Matlab.

The BFS program have simple graphical user interface, it is easy to use and it has fully control for saving and visualization the results data This thesis provides a comprehensive understanding of the spatial fluid dynamics involved in arterial flows with stenosis or with dilatation.

Simulations of this unnatural flow can give researchers information on how blood is distributed through the infected vessels.

Also, this can help researchers in the field with designing specific treatments that will improve patient care.

The results are characterizing the geometric effects on the blood flow under steady condition, and illustrate the key physiological parameters including the pressure drop and wall stress through the flow in the arteries.

The stenoses severity intensifies the stretches the recirculation zones in the arterial flow.

The shear stress, pressure and velocity vary most intensively in and after the stenotic region.

Shear stresses were estimated from velocity gradient, and the nature of observed poststenotic flow is discussed.

With regard to stenotic vessel, results are presented for velocity, pressure and shear stress measurements for steady flow through 25, 50 and 75% stenoses at different values of Reynolds numbers.

In the aneurysm model the maximum diameter D= 32mm, the parental artery diameter d= 13mm and the length of the aneurysm L= 45 mm at Reynolds number from 10 to 600.

Velocity, pressure and wall shear stress fields are visualized for a better interpreting and understanding of flow features The computation result for the aneurismal artery was compared with other previous experimental results and gets a good agreement.

Also the present results for the stenosis model compared with experimental measurements and computational data obtained by previous studies.

Main Subjects

Information Technology and Computer Science

No. of Pages

113

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-743821