Which we will simplify even more as follows $($where all the tubes are the same diameter$).$

a$.$ In this section, we'll work through how the pressure changes in this system based on Bernoulli. But we must do this in parts:

i$.$ Given that the flow rate $Q=$ volume $\frac{?}{s}=$ Area$*$ velocity is constant $($no fluid is lost or gained$),$ rank the velocities in regions A$-$E$.$ If any are equal, state that explicitly. Hint: you must consider the TOTAL area in each region, not the area in one pipe. $($Note that the constancy of Q in the human circulatory system, and the fact that the total area of the capillaries is much larger than the area of the aorta means that blood flows relatively slowly in the capillaries and allows time for diffusion to occur.$)$

ii$.$ Now, rank the pressure in each region according to Bernoulli principle.

iii. Sketch velocity and pressure as a function of location in the vessels using Bernoulli's principle. $($Just pay attention to relative size, not values$).$