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Set up a macroscopic model for a pipe flow (force balance) and relate the pressure change to the frictional forces at the walls

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Set up a macroscopic model for a pipe flow (force balance) and relate the pressure change to the frictional forces at the walls.

Develop a mesocopic model for heat transport in a pipe.

Assume that the heat transfer coefficient is constant along the tube length. Derive an expression for the temperature in the system as a function of axial position.