Question: A fluid is flowing along a cylindrical pipe of radius a in the direction. The velocity of the fluid at a radial distance r from the center of the pipe is v→ = u(1-r2/a2)i→.
(a) What is the significance of the constant u?
(b) What is the velocity of the fluid at the wall of the pipe?
(c) Find the flux through a circular cross-section of the pipe.