Page 6 - Week 6

May 6, 2015

This week in the design laboratory, the group finished up it's final Creo Parametric design of the aortic artificial heart valve. It was sent to the Drexel Workshop to be 3D printed. Below are some screenshots of the final design.

3D Creo Parametric Design View I

3D Creo Parametric Design View II

In addition, the group did some more research regarding the particular science and mathematical reasoning behind the fluid mechanics of the heart. The flow of blood into the aorta via the aortic valve is represented by I(t) in the equation below.

Equation of Flow of Blood [1]

Where:

·       t is the time in seconds

·       Tc is the period of the cardiac cycle in seconds

·       Ts is the time of the systole in seconds, which assumed to be (2/5)Tc

·       mod(t, Tc) represents t divided by Tc

·       I0 is the amplitude of this sinusoidal wave

The systole is where the ventricles contract and eject the blood out to the body through the aorta. These tend to vary from heart to heart, but on average, it is .3 seconds. Due to this, the average cardiac cycle is about .75 seconds long.

Sources:

[1] M. Catanho, M. Sinha and V. Vijayan, 'Model of Aortic Blood Flow Using the Windkessel Effect', 2012.

[2] Sciencedirect.com, 'Heart-beat frequency curves. A mathematical model', 2015. [Online]. Available: http://www.sciencedirect.com/science/article/pii/0010480968900177#. [Accessed: 07- May- 2015].