Consider a coolant in laminar flow in a circular tube. The one-dimensional velocity is given by v = vmax[1-(r/R)^2]iz (iz and v are vectors) where vmax = 2.0 m/s; R = radius of the tube = 0.05 m; iz = a unit vector in the axial direction. Assume the fluid density is uniform within the tube (p=300 kg/m^3).
1. What is the coolant flow rate in the tube?
2. What is the coolant average velocity (V) in the tube?
3. What is the true kinetic head of this flow? Does the kinetic head equal (1/2)pV^2?