Flow Velocity of Blood Conceptual Question

Arteriosclerotic plaques forming on the inner walls of arteries can decrease the effective cross-sectional area of an artery. Even small changes in the effective area of an artery can lead to very large changes in the blood pressure in the artery and possibly to the collapse of the blood vessel.

Imagine a healthy artery, with blood flow velocity of v0=0.14m/s and mass per unit volume of ρ=1050kg/m3. The kinetic energy per unit volume of blood is given by

K
=`(1/2)pv^2

PART A
Compared to normal blood flow velocity, v0, what is the velocity of blood as it passes through this blockage?

PART B
By what factor does the kinetic energy per unit of blood volume change as the blood passes through this blockage?








PART C
As the blood passes through this blockage, what happens to the blood pressure?









PART D
Relative to its initial, healthy state, by what factor does the velocity of blood increase as the blood passes through this blockage?








PART E
By what factor does the kinetic energy per unit of blood volume increase as the blood passes through this blockage?






PART F
What is the magnitude of the drop in blood pressure, Δp, as the blood passes through this blockage? Use K0 as the normal (i.e., unblocked) kinetic energy per unit volume of the blood.