Biomedical Engineering Reference
In-Depth Information
FIGURE 3.27
Figure for homework problem 3.9.
R
y
d
1
=
25 mm
d
2
=
21 mm
v
1
v
2
A reducing blood vessel has a 30
bend in it. Evaluate the components of force that must
be provided by the adjacent tissue to keep the blood vessel in place. All necessary informa-
tion is provided in
Figure 3.28
.
3.10
FIGURE 3.28
P
1
=
65 mmHg
d
1
=
1.25 mm
Figure for homework problem
3.10.
Mass of blood vessel
=
5 g
Internal volume
=
15 mm
3
Q
1
=
1.5 cm
3
/s
30°
P
2
40 mmHg
d
2
=
0.75 mm
=
3.11
The following segment of the carotid artery (see
Figure 3.29
) has an inlet velocity of 50 cm/s
(diameter of 15 mm). The outlet has a diameter of 11 mm. The pressure at the inlet is
110 mmHg and at the outlet is 95 mmHg. Determine the reaction forces to keep this vessel
in place.
FIGURE 3.29
v
2
Figure for homework problem 3.11.
d
2
Y
60°
X
R
x
R
y
v
1
d
1
3.12
One of the first implantable mechanical heart valves was designed as a ball within a cage
that acted as a check valve. Using the conservation of momentum (with acceleration), model
the acceleration of the ball after it is hit by a jet of blood, being ejected from the heart
(
Figure 3.15
). The ball has a turning angle of 45
and a mass of 20 g. Blood is ejected from
the heart at a velocity of 110 cm/s, through an opening with a diameter of 25 mm.
Determine the velocity of the ball at 0.5 sec. Neglect any resistance to motion (except mass).
3.13
During systole, blood is ejected from the left ventricle at a velocity of 125 cm/s. The diame-
ter of the aortic valve is 24 mm, and there is no heat transfer or temperature change within
the system. Assume that systole lasts for 0.25 sec, that the height difference is 5 cm, and
Search WWH ::
Custom Search