Blood flow. Your heart pumps blood into your aorta (diameter 2.5 cm) with a maximum flow rate of about 500 cm3/s. Assume that blood flow in the aorta is laminar (which is not a very accurate assumption) and that blood is a Newtonian fluid with a viscosity similar to that of water. (a) Find the pressure drop per unit length along the aorta. Compare the pressure drop along a 10 cm length of aorta to atmospheric pressure (105 Pa). (b) Estimate the power required for the heart to push blood along a 10 cm length of aorta, and compare to the basal metabolic rate of 100 W. (c) Determine and sketch the velocity profile across the aorta (assuming laminar flow). What is the velocity at the center