In: Physics
Plaque builds up on the walls of an artery decreasing its diameter from 1.16 cm to 0.66 cm. If the flow speed is 12.5 cm/s before reaching the region of plaque buildup, determine the following.
(a) speed at which blood is traveling through the
plaque-constricted region
cm/s
(b) pressure change within the plaque-constricted region. (Assume
the density of blood is 1050 kg/m3. Be sure to include
the appropriate sign with your answer.)
a)By equation of continuity
=
=area
of cross section at diameter 1.16cm
=
=
=
d=diameter=1.16cm
=velocity
at diameter 1.16cm
=12.5cm/s
=area
of cross section at diameter 0.66cm
=
=
=
=velocity
at costriction=?
=
=
/
=
x12.5/
=38.61cm/s=0.3861m/s
b)by Bernoullis theorem,
/
+
/2=
/
+
/2
Hence (-
)/
=
/2-
/2
=density=1050
=12.5cm/s=0.125m/s
=0.3861m/s
-
=pressure
difference=?
(-
)/
=
/2-
/2
(-
)=
(
-
)/2=1050x(
-
)/2=70.06Pascal