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Even houses with flat roofs must have a slight slope for water to drain off. In this thesis we look at a roof with an ar

Posted: Sun May 15, 2022 11:45 pm
by answerhappygod
Even houses with flat roofs must have a slight slope for water to drain off. In this thesis we look at a roof
with an area of ​​10 m × 10 m with drainage through a pipe that has an intake located in the middle of the roof and from there
leads the water down to the ground. There is a steady fall from the edge of the roof towards the center with the maximum
height difference 15 cm.

a) The pipe has run close to 3.0 m below the inlet on the roof. Under the plug there is atmospheric pressure, p0
= 1,013 × 105 Pa. It turns out that when the gauge pressure on the plug exceeds pg = 3.0 × 104 Pa
loosens it. How high is the water level when this happens? (3%)

b) How fast does the water flow past the point where the plug was immediately after it came loose? Self
if this is not completely realistic, you can expect the flow to become laminar immediately. If
if you have not found the answer in part a) you can count on a starting water level that is 10 cm above
the inlet to the pipe.