Assignment:
1) Derive the non-dimensional form of the incompressible Navier-Stokes equation with the Reynolds, Froude, and Strouhal number in the final form.
2) For a cylindrical pipe experiencing a pressure gradient along the z-axis, derive the fully developed velocity profile.
3) Water 3 ft deep flows in a stream at a uniform velocity of 3 m/s. There is a small bump, 6 inches in height, on the streambed. If this bump can be approximated as a Rankine half-body what is the maximum velocity as water moves over the bump.