6. Water with density p and dynamic viscosity flows down an inclined pipe with radius R. The flow is in steady state and fully developed. The angle between the pipe and the ground is 30. There is no axial (z-direction) pressure gradient.
a) Write down the Navier-Stokes equation in the axial direction.
b) Simplify the equation based on the given flow conditions
c) Write down the boundary conditions that are needed to solve the problem
d) Solve the simplified equation through integration
e) Determine the constants using the B.C.s.