42-101 Intro to BME (Przybycien)

Spring 2005

PROBLEM SET No. 9

Posted:

4/19/05

Due:

4/22/05 in class

Note: do interim team evaluation for team C on Monday, 25 April.

1.

Biofluid Mechanics – Viscous Flow.  Circulation of a dog. Aorta: 1.0 cm in diameter, 40 cm in length.  Large arteries:  ~40 in number, 0.3 cm in average diameter, 20 cm in average length, 23 cm/s average velocity in large arteries.  Blood: viscosity at high shear rates is ~3.0 cP; density is 1.057 g/cm3.

a.    What is the total volumetric flow rate, in cm3/s, of blood in a dog?

b.    What is the pressure drop, in mmHg, across the length of a large artery in a dog?

c.    What is the average shear rate at the blood vessel wall, in 1/s, of a large artery in a dog?

d.   Determine the average velocity, in cm/s, of the blood in the aorta.

a.    What is a typical value for the Reynolds number in the aorta of a dog?  Is the flow laminar or turbulent?

2.

Biomaterials.  MMD problem 12.2

3.

Biomaterials.  MMD problem 12.15.  [Hint – a viscous flow problem]

Updated on 4/19/05 by TMP