Introduction

Here you find 17 WANDA cases which help to understand the waterhammer phenomena. All cases include a movie. In order to play the movie, you must install the Techsmith ScreenCapture Codec (more information - Download).

The examples are also available as Wanda cases - Download


1) Positive pressure waves

Description: Instantaneous valve closure at the end of a frictionless pipe
Phenomenon: Propagation of positive pressure wave

download movie

System data

Property

Value

Diameter

500 mm

Length

10000 m;

Friction

No friction

Wave speed

1000 m/s

Initial velocity

1.0 m/s

Valve data:

  • Butterfly valve
  • instantaneous closure (within 1 timestep)


2) Positive and negative pressure waves

Description: Instantaneous valve closure in the middle of a frictionless pipe
Phenomenon: Propagation of positive and negative pressure wave

download movie

System data

Property

Value

Diameter

500 mm

Length

5000 m;

Friction

No friction

Wave speed

1000 m/s

Initial velocity

1.0 m/s

Valve data:

  • Butterfly valve
  • instantaneous closure (within 1 timestep)


3) Pressure waves and line packing

Description: Instantaneous valve closure at the end of a pipe with friction (line packing)
Phenomenon: Propagation of positive pressure wave and line packing

download movie

System data

Property

Value

Diameter

500 mm

Length

10000 m;

Friction factor

0.0222 (k = 1 mm)

Wave speed

1000 m/s

Initial velocity

1.0 m/s

Valve data:

  • Butterfly valve
  • instantaneous closure (within 1 timestep)


4) Effect of surge tower on pressure waves

Description: Instantaneous valve closure at the end of a pipe with friction and surge tower as the anti-surge device
Phenomenon: Effect of surge tower on pressure waves

download movie

System data

Property

Value

Diameter

500 mm

Length

10000 m;

Friction factor

0.0222 (k = 1 mm)

Wave speed

1000 m/s

Initial velocity

1.0 m/s

Valve data:

  • Butterfly valve
  • instantaneous closure (within 1 timestep)

Surge tower:

  • Area = 0.01 m 2 (vertical pipe with 113 mm internal diameter)


5) Propagation and development of negative pressure wave

Description: Pump trip with small polar moment of inertia
Phenomenon: Propagation and development of negative pressure wave

download movie

System data

Property

Value

Diameter

500 mm

Length

10000 m;

Friction factor

0.0218 (k = 0.25 mm)

Static head

2.0 m

Wave speed

1000 m/s

Initial velocity

0.6 m/s

Pump data:

  • Duty point is 100 m3/h at 17 m head
  • Polar moment of inertia 0.1 kgm2


6) Propagation and development of negative pressure wave 2

Description: Pump trip with large polar moment of inertia
Phenomenon: Propagation and development of negative pressure wave

download movie

System data

Property

Value

Diameter

500 mm

Length

10000 m;

Friction factor

0.0218 (k = 0.25 mm)

Static head

2.0 m

Wave speed

1000 m/s

Initial velocity

0.6 m/s

Pump data:

  • Duty point is 100 m3/h at 17 m head
  • Polar moment of inertia 2.0 kgm2


7) Effect of surge tower

Description: Pump trip with small polar moment of inertia and surge tower as the anti-surge device
Phenomenon: Effect of surge tower

download movie

System data

Property

Value

Diameter

500 mm

Length

10000 m;

Friction factor

0.0218 (k = 0.25 mm)

Static head

2.0 m

Wave speed

1000 m/s

Initial velocity

0.6 m/s

Pump data:

  • Duty point is 100 m3/h at 17 m head
  • Polar moment of inertia 0.1 kgm2

Surge tower:

  • area 0.1 m2


8) Reflections on diameter changes

Description: Two frictionless pipes in series with different diameters; instantaneous valve closure at the end of the system in the pipe with smallest diameter (reflection)
Phenomenon: Effect of diameter change on pressure wave - reflection

download movie

System data

Property

Value

Diameter Pipe 1

500 mm

Diameter Pipe 2

250 mm

Length

5000 m;

Friction factor

no friction

Wave speed

1000 m/s

Initial velocity D=250

1.0 m/s

Valve data:

  • Butterfly valve; instantaneous closure (within 1 timestep)


9) Reflections on diameter changes 2

Description: Two frictionless pipes in series with different diameters; instantaneous valve closure at the end of the system in the pipe with largest diameter (reflection)
Phenomenon: Effect of diameter change on pressure wave - reflection

download movie

System data

Property

Value

Diameter Pipe 1

250 mm

Diameter Pipe 2

500 mm

Length

5000 m;

Friction factor

no friction

Wave speed

1000 m/s

Initial velocity D=250

1.0 m/s

Valve data:

  • Butterfly valve; instantaneous closure (within 1 timestep)


10) Changes in wave speed

Description: Two frictionless pipes in series with different pressure wave celerity; instantaneous valve closure at the end of the system in the pipe with smallest wave celerity (reflection)
Phenomenon: Effect of wave celerity change on pressure wave (e.g. change in pipe material)

download movie

System data

Property

Value

Diameter both pipes

500 mm

Length

5000 m;

Friction factor

no friction

Wave speed pipe 1

1000 m/s

Wave speed pipe 2

200 m/s

Initial velocity

1.0 m/s

Valve data:

  • Butterfly valve; instantaneous closure (within 1 timestep)


11) Changes in wave speed 2

Description: Two frictionless pipes in series with different pressure wave celerity; instantaneous valve closure at the end of the system in the pipe with largest wave celerity (reflection)
Phenomenon: Effect of wave celerity change on pressure wave (e.g. change in pipe material)

download movie

System data

Property

Value

Diameter both pipes

500 mm

Length

5000 m;

Friction factor

no friction

Wave speed pipe 1

200 m/s

Wave speed pipe 2

1000 m/s

Initial velocity

1.0 m/s

Valve data:

  • Butterfly valve; instantaneous closure (within 1 timestep)


12) Reflections on branches and closed end

Description: Branched system with closed end; valve closure in main line
Phenomenon: Reflections on branches and closed end

download movie

System data

Property

Value

Diameter pipe 1

500 mm

Diameter pipe 2

500 mm

Diameter pipe 3

250 mm

Length Pipe 1

5000 m;

Length Pipe 2

5000 m;

Length Pipe 3

3000 m;

Friction factor

no friction

Wave speed

1000 m/s

Initial velocity

1.0 m/s

Valve data:

  • Butterfly valve; instantaneous closure (within 1 timestep)


13) Cavitation and cavitation collapse

Description: Concentrated cavity in high point after pump trip
Phenomenon: Effect of cavitation and cavity implosion on system pressures

download movie

System data

Property

Value

Diameter

500 mm

Length

10000 m;

Friction factor

0.0218 (k = 0.25 mm)

Static Head

2.0 m

Wave speed

1000 m/s

Initial velocity

1.0 m/s

pipeline profile:

Pump data:

  • Duty point is 100 m3/h at 17 m head
  • Polar moment of inertia 0.5 kgm2


14) Cavitation and cavitation collapse 2

Description: Extended cavity in horizontal pipeline after pump trip
Phenomenon: Effect of cavity and cavity implosion on system pressures

download movie

System data

Property

Value

Diameter

250 mm

Length

10000 m;

Friction factor

0.0218 (k = 0.25 mm)

Static Head

2.0 m

Wave speed

1000 m/s

Initial velocity

0.6 m/s

pipeline profile:

Pump data:

  • Duty point is 100 m3/h at 17 m head
  • Polar moment of inertia 0.1 kgm2


15) Propagation of pressure waves; development of flow velocity

Description: Instantaneous valve opening at the end of a pipe with friction
Phenomenon: Propagation of pressure waves; development of pipe velocity

download movie

System data

Property

Value

Diameter

500 mm

Length

10000 m;

Friction factor

no friction

Wave speed

1000 m/s

Initial velocity

0 m/s

Valve data:

  • Butterfly valve; instantaneous opening (within 1 timestep)


16) Rigid column method limitations

Description: Comparison of rigid column approximation and water hammer equations
Phenomenon: Maximum pressure is significantly underestimated by rigid column
approximation if friction head is small

System data

Property

Value

Diameter

200 mm

Length

900 m;

Wave speed

900 m/s

Initial velocity

3.0 m/s


17) Linear and two-stage valve closure

Description: Linear and two-stage valve closure at the end of a pipe with friction
Phenomenon: Effective valve closure time

System data

Property

Value

Diameter

500 mm

Length

10000 m

Friction Factor λ

0,0154 (wall roughness k = 1 mm)

Wave speed

1000 m/s

Initial velocity

1.0 m/s

Valve data:

  • Butterfly valve; linear and two-stage valve closure in 5 pipe periods



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