Can you explain the solution step by step?

Question 1. (20 pts) Wall shear stress may be important in the development of various vascular disorders. For example, the shear stress of circulating blood on endothelial cells has been hypothesized to play a role in elevating vascular transport in ocular diseases such as diabetic retinopathy. In this problem, you will estimate the wall shear stress in various vessels in the human circulatory system. Suppose the vessels are rigid tubes of inside diameter D and the mean blood velocity within a vessel is Vmean. In the fully developed laminar flow regime, the velocity profile is parabolic as shown in the image below: The parabolic velocity profile is described by V(r)=Vmax(1R2r2) where Vmax is the maximum velocity at the center and R is the vesses radius. r is measured from the centerline. (a) (5 pts) Show that the mean velocity within the pipe is Vmean=Vmax/2. (b) (5 pts) Find an expression for the shear rate (dV/dr) at the wall in terms of Vmean and vessel diameter, D. (c) (5 pts) Find an expression for the shear stress at the wall ( wall) in terms of Vmean, vessel diameter, D, and blood viscosity, . (d) (5 pts) Complete the table below for various vessels in the human circulatory systemlaakinletir comment on the general trend. Take the blood viscosity 3.5cP (centiPoise).ows'u etkinletirmek iin