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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).


Example 1

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)


Example 2

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)


Example 3

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)


Example 4

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^ m 2 (vertical pipe with 113 mm internal diameter)


Example 5

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 kgm^2^


Example 6

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 kgm^2^


Example 7

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 kgm^2^

Surge tower:

  • area 0.1 m^2^


Example 8

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)


Example 9

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)


Example 10

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)


Example 11

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)


Example 12

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)


Example 13

Description: Concentrated cavity in high point after pump trip
Phenomenon: Effect of cavity 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 kgm^2^


Example 14

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 kgm^2^


Example 15

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)


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