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Water flows through a circular pipe with diameter d. The velocity profile of the water is given as: u(r) ==(-1²) where the radius of the pipe, u is the viscosity, and a is a constant. a) Show that this velocity profile satisfies the boundary conditions of a fully developed is laminar flow. b) Which units must the constant a have for u (r) to express velocity in m/s? c) Find an expression for the shear stress at the point derr = d/4 d) Find an expression for the shear force acting on a piece of pipe of length L. e) What is the difference between a turbulent and a laminar flow?