A Newtonian fluid flows downwards in the x-direction, at steady state, and with fully developed laminar flow, from an inclined surface at an angle  to the horizontal, open to the atmosphere. The thickness of the liquid film is . The acting pressure forces can be neglected. Show the coordinate system using the shell momentum balance and drawing a figure; a) Write the boundary conditions for the solution. Equation for the variation of local velocity with position Derive [Vx = f(y)]. b) Derive the equation that gives the maximum velocity. Write a relationship between the local velocity and the maximum velocity. c) Derive the equation for the volumetric flow rate.