Exercise 2. VII Bypass flow

This exercise is inspired by cooling problems in an industrial facility. Part of the flow of a river is diverted and fed into a bypass channel that goes through a grid with which it exchanges heat. The exercise deals with the hydraulics problem how is the flow rate distributed between the bypass channel and the river  

By considering energy conservation (or non-conservation) between 4 and B, then between A and C, determine velocities U2 and U], Deduce therefrom the difference in pressure, Pa - Pb, between points A and B. 

It is assumed that the fluids are again completely mixed in the outlet section containing point D. Explain why the head cannot be conserved between B and D. By applying the momentum theorem on a domain to be specified, calculate the pressure difference, Pb - Pd, between points B and D. 

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