1) A cylindrical tube with a radius R is given. Constant pressure difference is applied along the length of the tubing.

a) (20 pts) Solve the Navier-Stokes equations to find the analytical equation for the steady-state flow along the z-axis.

b) (15 pts) Find the equation for the volumetric flow rate

c) (15 pts) Assuming that the length of the tubing is L and the pressure difference is P, find the equation for hydraulic resistance using Hagen-Poiseuille flow (P=Q.Rhyd)