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Draining time of a uniform tank through a siphon
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Physics
Branch of physics
Fluid mechanics
Euler equations for an inviscid fluid
Bernoulli equation
Created
2026-09-24
Updated
2026-09-24
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If
a
tank and siphon tube have
areas
A
and
a
, the tube outlet is
H
below an
inlet
initially submerged by
h
0
, and both
free
boundaries are at atmospheric
pressure
, continuity and Bernoulli'
s
equation
give
t
=
2
(
a
2
A
2
−
1
)
1/2
g
H
+
h
0
−
H
(1)
for the
free surface
to reach the
inlet
.
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(6)
Bernoulli equation
Euler equations for an inviscid fluid
Fluid mechanics
Branch of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
ib
/
Paper 3
/
7D
/
Solution
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