Joucowski's pulse is the maximum pressure pulse (decreasing and increasing the steady pressure) that can develops in an installation when a steep interruption (instantaneous) of the flow takes place. Jouckowski's can be estimated with the following expresion:
Jouckowski's pulse = C * Vo / g

Where:

One expression that can be used to estimate transient wave's speed is:
C=sqrt((K/ro)/(1+K*D/(E*e)))

where:

For water (ro=1000 kg/m³ and K=2.074 E+09 N/m²), a more simply formulation can be used (known as Allievi formulation):
C=9900/(sqrt(47.3+lambda*D/e))

Where lambda depends on the pipe's material, and as a reference the following values can be used:

Some considerations

The supposition that the pressure's pulse that takes place agrees with Jouckowsi's formulation mplies supposition that the event is fast (time for complete the variation < 2*L/C, where L is the system's lenght), and that not includes the friction.

Both factors are needed for (in some section of the pipe) the pulse of Jucowski will be reached.

Ussualy, calculation based in Jouckowski's considerations in all the pipeline lead's to overestimate transient effects, for overpressure considerations but also for underpressure ones where cavitation can occurs.

Therefore, is recommended that the pulse of Jucowski calculations should be considered as a reference value. Detailed studies implies the numerical modelling of unsteady flow wiht models based in elastic modelling of water and pipelines, as HiTrans.