Double Pitot tube
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A detailed solution is then proposed to you.
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Considering steady flow of a gas in a cylindrical pipe provided with a Double Pitot tube.
is the gas density and the density of the liquid filling the U-tube.
It will be recognized that the velocity of the gas has the same value at any point of a right cross section of the pipe.
Express the velocity and the volume flow rate of the pipe as a function of , , , and , the cross section of the pipe.
We neglect the difference in level between and .
The Bernoulli's equationbetween and gives : ( is a breakpoint)
Similarly, between and (same altitudes and speeds) :
We can deduce :
Far from the tube, the Bernoulli's theorem gives :
In the U-tube, one can write :