Numerical and One Dimensional Modeling of Cardiovascular System

Molaei, Mehdi | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40404 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Saeedi, Mohammad Saeed; Firoozabadi, Bahar
  7. Abstract:
  8. Cardiovascular diseases are most common causes of deaths in the whole world. Nowadays, engineers and scientists in various fields become intent on finding solutions for prevention and recovery of these diseases. In this way, it is very important to know about the blood flow in arterial systems and its changes in various diseases. Numerical simulation of the blood flow beside of experimental studies could be very useful in this way. One dimensional simulation among various methods of numerical simulation was chosen to simulate a cardiovascular system since it has smaller computational cost and ability to modeling of whole arterial systems. It also is useful in extraction of medical indexes. In this study, one dimensional geometry is considered for network of systematic arteries. Also, for the first time, continuity, momentum, and state equations of blood flow in arteries are solved numerically by the finite volume method. By doing so besides of developing appropriate boundary conditions, pressure and flow rate profile in the main arteries are obtained. The outflow boundary conditions, which are developed by coupling of one dimensional and lumped parameters, have important roles in the future of pressure profiles; therefore, in this work, several lumped models are studied as outflow boundary conditions of the one dimensional model. Blood leakages through arterial walls, which are not considered in most of previous works, are added to the system of equations. Moreover, velocity profiles in each points of the arterial geometry are obtained. Finally, by developing appropriate one dimensional model for systematic arteries, effects of arteriosclerosis diseases on the pressure profile and effects of activity of one organ on blood flow rate are studied.
  9. Keywords:
  10. Arteries ; One-Dimentional Modeling ; Finite Volume Method ; Velocity Profile ; Lumped Model ; Cardiovascular System ; Pressur Wave

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