Because of plaque buildup in an artery there is an obstruction in blood flow as shown in the sketch. Average cross section of the plaque is 4.0 x 10-5 m2. Blood flows through the unobstructed part of the artery at a speed of 0.60 m/s. The blood then flows through the obstructed region where the cross-section area has been reduced to one-fourth the original value. Estimate the net force the blood exerts on the plaque. a. Write the equation that relates force and area. b. Above equation should also contain pressure. You need pressure difference to calculate above force. Therefore, write the equation that relates pressures and velocities. Simplify the equation to find difference in pressure. c. Combine equations from part a and b to solve for F and compute the value of F.
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.
Because of plaque buildup in an artery there is an
obstruction in blood flow as shown in the sketch.
Average cross section of the plaque is 4.0 x 10-5
m2. Blood flows through the unobstructed part of
the artery at a speed of 0.60 m/s. The blood then
flows through the obstructed region where the cross-section area has been reduced to one-fourth the
original value. Estimate the net force the blood exerts on the plaque.
a. Write the equation that relates force and area.
b. Above equation should also contain pressure. You need pressure difference to calculate above force. Therefore, write the equation that relates pressures and velocities. Simplify the equation to find difference in pressure.
c. Combine equations from part a and b to solve for F and compute the value of F.
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