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If these two pressures are different, the water will be forced to move. And as the graph shows, water at 82 o C is about 1% less dense than the same water at 65 o C. This may not sound very much, but it's enough. The difference in the density of the water in the flow and return pipes is about 10 kg/m 3.
RE: Gravity drainage pipe size question. You can find the theory, and some tables giving the flowrate as a function of pipe slope and fraction filled at. http://www.cispi.org/handbook/chapter8.pdf. If the 6 pipe is 1.5 m long, straight and vertical it will be able to take about 275 m 3 /h before it floods.Most of the head losses are in the entrance to and exit from the 6 pipe, rather than along the pipe.f the 6 pipe is 1.5 m long, straight and vertical it will be able to take about 275 m 3 /h before it floods. Most of the head losses are in the entrance to and exit from the 6 pipe, rather than along the pipe.