Question

In: Physics

Plaque builds up on the walls of an artery decreasing its diameter from 1.16 cm to...

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.)

Solutions

Expert Solution

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

genius_generous answered 1 year ago

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