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According to Hyperphysics, Poiseuille's Law says:
Volume Flowrate = [π(pressure difference)(radius)^4] / [8(viscosity)(length)]
...and Bernoulli's Principle says:
"In the high velocity flow through the constriction, kinetic energy must increase at the expense of pressure energy."
What's confusing me is that from Poiseuille's Law the formula tells us that an increase in radius would cause higher volume flowrate, but Bernoulli's principle is saying that in regions of constriction (decreased radius) there's higher velocity. Don't these ideas contradict?
Volume Flowrate = [π(pressure difference)(radius)^4] / [8(viscosity)(length)]
...and Bernoulli's Principle says:
"In the high velocity flow through the constriction, kinetic energy must increase at the expense of pressure energy."
What's confusing me is that from Poiseuille's Law the formula tells us that an increase in radius would cause higher volume flowrate, but Bernoulli's principle is saying that in regions of constriction (decreased radius) there's higher velocity. Don't these ideas contradict?