When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is proportional to the fourth power of the radius R of the blood vessel:

Question

F = kR4
(This is known as Poiseuille's Law.) A partially clogged artery can be expanded by an operation called angioplasty, in which a balloon-tipped catheter is in
ated inside the artery in order to wide it and restore the normal blood flow.
Show that the relative change in F is about four times the relative change in R. How will a 1% increase in the radius a�ffect the flow of blood?

A 1% increase in the radius corresponds to a/an ______% ______ in blood flow.

Answer 1

I got the answer. It is 4 % increases in blood flow.


thanks anyway.