WATER HAMMER
NAVEEN SUDHARSAN
MT14WRE010
What is Water Hammer?
Water hammer is a pressure surge or wave resulting when a fluid in motion
is forced to stop or change the velocity
A water hammer commonly occurs when a valve closes suddenly at an
end of a pipeline system, and a pressure wave propagates in the pipe. It is
also called hydraulic shock.
Immature
operation
of valve
Reasons
Sudden
Power
stoppage
outage
of pump
Sudden Closure Of A Valve
Mechanism
Fluid Mechanics with
Engineering
applications by
Joseph B Franzini &
E.John Finnemore
Mechanism
At the Reservoir Sudden Closure of
the valve
•Unbalanced condition
•Due to Negative •Fluid lamina near to the
pressure in the pipe valve compressed
•Flow towards pipe •This compression
starts(4L/a) reaches upstream end
of the pipe(t=L/a)
At the Reservoir
Low pressure
•Unbalanced condition
moves upstream as at the reservoir pressure
waves •Flow from pipe to
•Makes the velocity of reservoir starts as the
wave moves Fluid Mechanics by
flow zero again
downstream Victor L Streeter, E
•But the fluid in the pipe Benjamin Wylie & Keith W
will be expanded(3L/a) •Reservoir pressure Bedford
unchanged(2L/a)
Water Hammer Equations
Joukowsky (1898) eqn
∆𝑃 = 𝜌𝐶𝑝 ∆𝑉
Where ∆𝑃 is change in pressure
𝜌 density
𝐶𝑝 is the velocity of wave (1496 m/s at 25°C in water)
∆𝑉 is change in velocity
This equation can be used only for rapid closure( t < 2L/𝐶𝑝 )
Water hammer equations for all conditions:
Equation of motion
𝜕𝑉 𝜕𝐻 𝑓𝑉 𝑉
+𝑔 + =0
𝜕𝑡 𝜕𝑥 2𝐷
Equation of continuity
𝜕𝐻 𝑎2 𝜕𝑉
+ =0
𝜕𝑡 𝑔 𝜕𝑥
These two pde are solved using method of
characteristics.
Consider a 500mm dia pipeline, L = 8000 m, 𝐶𝑝 =1000m/s
& v = 2 m/s, a gate valve is closed in 5 seconds.
Calculate the pressure surge. Calculate the force
exerted on the gate.
2𝐿
𝑇𝑟 = = 16 𝑠 > 5 𝑠
𝐶𝑝
Joukowsky’s equation may be applied.
∆𝑃 = 𝜌𝐶𝑝 ∆𝑉
𝑁
∆𝑃 = 20 𝑋 105
𝑚2
Area = .196 𝑚2 ≈ 0.2 𝑚2
𝐹𝑜𝑟𝑐𝑒 𝐹 = 𝑃. 𝐴 = 20 𝑋 105 𝑋 0.2 = 400000 𝑁
F = 400 𝐾𝑁
Applications
Hydraulic Ram
works with the
principal of Water
hammer
The US Navy is
conducting Leaks can
field trials for sometimes be
mine clearing detected using
using water water hammer
hammer.
Effects of Water Hammer
Damage to pipes, fittings, and valves, or any connected
equipment causing leaks and shortening the life of the system
Bursting of pipes can occur if the pressure is high enough
Water hammer can have devastating effects on pump system
Devices for Protection from Water
Hammer
Soft Starters
Slow closing valves
Variable Frequency Devices
Water Hammer Arrestors
Surge Tanks
Pressure Release Valves
Conclusions
Water hammer can cause severe problems in the system if
not designed properly. So at the time of designing of the
system potential water hammer problems should be
considered for thorough analysis. And proper methods or
devices are to be used so as to assure the proper
functioning of the system and to lessen the effect of water
hammer
Water hammer is useful in certain cases as hydraulic ram,
mine clearing etc.
References
Fluid Mechanics with Engineering Applications by Joseph B Franzini & E
John Finnemore, The McGraw Hill Companies, 1997
Fluid Mechanics by Victor L Streeter, E Benjamin Wylie and Keith W Bedford,
The McGraw Hill Companies, 2010 reprint
KSB Know how, Vol 1 Water hammer, KSB Aktiengesellschaft, Johann-Klein-
Straße 9,67227 Frankenthal
en.wikipedia.org/wiki/Water_hammer