The flow of blood in the capillaries is regualted in part by constriction of small blood vessels, called arterioles.
a. Assume an arteriole has a radius 0.005 cm and a length of 0.05cm. Assume the pressure drop across thei aretiole is 50 mm Hg. Calculate the flow Q in cubic meters per second through this arteriole. Assume viscosity of blood is 0.04 P. Assume flow of blood in the arteriole is governed by Poiseuille's Law. Note 0.0075 mmHg =1 Nt/m^2=To what radius must the arteriole dilate to increase the blood flow1 Pa.
b. By what fraction is the radius of the arteriole reduced if the flow is reduced by 40%?
c. To what radius must the arteriole dilate to increase the blood flow by 50%?