Figure 2. Expansion joints that have collapsed
due to sudden valve closure
Figure 3. Typical pipe burst from over-pressurization
acoustic velocity (speed of sound) of
the fluid in the pipe.
The basic pressure transient equation,
h = av/g , was developed by Nikolai
Yegorovich Joukowski in 1904. In this
equation; “h” represents the pressure
transient, “a” is the acoustic velocity of
the fluid, “v” is the fluid velocity and
“g” is the gravitational constant. Small
amounts of entrained gas in the fluid can
dramatically reduce acoustic velocity. In
the case of sudden pump stoppage, some
gas may come out of the fluid solution,
which, because it reduces the acoustic
velocity, will also reduce the pressure
spike. This is one of the factors that
makes the analysis and prediction of
pressure transients very complicated.
SOLUTIONS FOR WATER
HAMMER
Although mixing a gas into the liquid
stream would reduce acoustic velocity,
this obviously is not a solution in many
cases. However, there are other ele-
ments of a piping system that can
absorb part of the pressure surge. Air
pads, surge tanks, valve speed controls
and check valves are potential solutions
for water hammer problems. Under-
standing the underlying root cause or
source of the shock wave will help in
finding the best solution.
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PROVIDING VISUAL
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PREDICTING AND
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The analysis of pressure transients is
complex and cannot be done through a
few general equations. However, simple equations can be used to predict
the pressure spike using key factors
that influence the spike’s potential.
These factors include: fluid velocity,
the rate of deceleration of the fluid, the
speed of closure of valves and the
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