4. Assume a flow velocity distribution in a circular pipe is given as : u=umax[1-(r/R)]1/7 where Umax is the maximum velocity and R to the radius of pipe and r is any location form the centerline of the pipe. Calculate the ratio between mean and maximum velocities. And at what equivalent radius actual velocity is equivalent to mean velocity.? 5. A two dimensional fluid motion takes the form of concentric, horizontal, circular streamlines. Prove the pressure drop gradient is given by: dp/dr = pv²/r. Where: p is density, v is tangential velocity, and r is radius. The stream functions for such a flow is given by 2ln(r) [what kind of flow is it?]at radius of r= 2 m and fluid density of 1000 kg/m³