Biomedical Engineering Reference
In-Depth Information
length needed to transport the balloon to the opening locations. Calculate the buoyancy
force on this catheter.
3.5
Consider the steady, incompressible blood flow through the vascular network as shown.
Determine the magnitude and the direction of the volume flow rate through the daughter
branch 2 (denoted as D
3
in
Figure 3.25
).
d
3
=
35
μ
m
d
2
=
75
μ
m
v
2
=
80 mm/s
d
1
=
100
μ
m
v
1
=
100 mm/s
FIGURE 3.25
Figure for homework problem 3.5.
A biofluid flows with a density of 1080 kg/m
3
3.6
through the converging network as shown
5 mm/s
-
and
in
Figure 3.26
. Given that
d
1
5
15
μ
m,
d
2
5
9
μ
m, and
d
3
5
24
μ
m, with
v
1
5
8 mm/s
-
, determine the velocity
v
3
.
v
2
5
FIGURE 3.26
d
2
,
v
2
Figure for homework problem 3.6.
d
1
,
v
1
d
3
,
v
3
3.7
Using the same details for problem 3.6, calculate the change in time rate of change of vol-
ume if
v
3
is equal to 10 mm/s.
3.8
Air enters the lungs through a circular channel with a diameter of 3 cm and a velocity of
150 cm/s and a density of 1.25 kg/m
3
. Air leaves the lungs through the same opening at a
velocity of 120 cm/s and a density equal to that of the lungs. At the initial conditions the
air within the lungs has a density of 1.4 kg/m
3
, with a total volume of 6 L. Find the initial
rate of change of the density of air in the lung assuming that your time step includes one
inhale and one exhale (takes 15 sec).
3.9
During peak systole, the heart delivers to the aorta a blood flow that has a velocity of
100 cm/sec at a pressure of 120 mmHg. The aortic root has a mean diameter of 25 mm.
Determine the force acting on the aortic arch if the conditions at the outlet are a pressure of
110 mmHg and a diameter of 21 mm (see
Figure 3.27
). The density of blood is 1050 kg/m
3
.
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