Flow rate question: You are asked to help educate a patient on ramifications of a partial arterial blockage you have recently discovered. If the radius of the artery decreases by a factor of 1.5 because of the blockage, by what factor has the volume flow rate decreased?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
 alt="You are help to educate a patient on the ramifications of a partial arterial blockage
you have recently discovered. To communicate the severity, you decide to tell the
patient about how much of the volume of blood that normally passes through the
artery has decreased. The relationship you are describing is called Poiseuille's
AR* (P-P)
AV
equation and it reads:
At
If the radius of the artery decreases by a
87l
factor of 1.5 because of the blockage (as shown in the image below), by what factor
Δν
has the volume flow rate (A) decreased?
Wall of
artery
(a)
Artery wall
thickening
Blockage
(b)
Note: Do not explicitly include units in your answer, however (include number only).
Including units (like cm) will result in the auestion being scored wrong.
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