A blood vessel is cylindrical with radius R and length l.The blood near the boundary
Chapter 8, Problem 84(choose chapter or problem)
A blood vessel is cylindrical with radius R and length l.The blood near the boundary moves slowly; blood at thecenter moves the fastest. The velocity, v, of the blood ata distance r from the center of the artery is given byv = P4l(R2 r2)where P is the pressure difference between the ends ofthe blood vessel and is the viscosity of blood.(a) Find the rate at which the blood is flowing down theblood vessel. (Give your answer as a volume per unittime.)(b) Show that your result agrees with Poiseuilles Law,which says that the rate at which blood is flowingdown the blood vessel is proportional to the radiusof the blood vessel to the fourth power.
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