A film-shaped Newtonian fluid flows from top to bottom in the direction of gravity from the inner surfaces of a cylindrical vertical pipe of length L. The radius of the pipe is R and the distance from the center of the pipe to the liquid surface is aR. Let the viscosity and density of the fluid be constant. Assuming that the pressure variations in the fluid inlet and outlet are negligible a) Write the expressions describing the system using the continuity equations for the steady state and derive the equation that gives the velocity distribution of the fluid. b) Considering that the pipe is pulled up at a constant V velocity, rearrange the equation that gives the velocity distribution

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