Refer to the law of laminar flow given in Example 7. Consider a blood vessel with radius 0.01 cm, length 3 cm, pressure difference 3000 dynes/cm2 , and viscosity η = 0.027.
(a) Find the velocity of the blood along the centerline r = 0, at radius r = 0.005 cm, and at the wall r =R = 0.01 cm.
(b) Find the velocity gradient at r = 0, r = 0.005, and r = 0.01.
(c) Where is the velocity the greatest? Where is the velocity changing most?