15 m Siphon 1.0 m Discharge Tank
As shown in the following figure, a pipe of cross-sectional area A = 0.01 m2 and a
total length of 5.5 m is used for siphoning water from a tank. The discharge from the siphon
is 1.0 m below the level of the water in the tank. At its highest point, the pipe rises 1.5 m
above the level in the tank.
(a) What is the water velocity v (m/s) at the discharge?
(b) What is the lowest gauge pressure (in bars) in the tube? And where
does it occur? Neglect pipe friction. Is the lowest pressure higher than the vapor pressure
of water at room temperature?
(c) If the siphon reaches virtually all the way to the bottom of the tank (but is not
blocked off), is the time taken to drain the tank equal to t = V/Av, where V is the initial
volume of water in the tank, and v is still the velocity (e.g., 4.43 m/s) as computed above
when the tank is full? Explain your answer.
(d) A siphon can drain the liquid in the tank, which means that the liquid flows
upward at the right-hand side of the tube. It appears to be contradictory to what we
usually say: “Water flows downhill.” Can you explain?
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