Output pressure formula for a pressurized waterjet

[adbury]

Hello,

We have a pressurized Water-jet stream, where the nozzle d= 0.8 mm. We can measure the fluid output in mm³/s, to determine the speed by dividing over the area.

For this, F=ρAv²

However, the variable that would be changing, would be the distance from the nozzle to the target. If we assume that as long as the water-jet stream maintains coherence, A₁=A₂, therefore cancelling A for P=F/A, would the simplified formula:
P=ρv²

Be correct (if we do not want to be overly particular of effects that might not alter this formula in a significant way)?

Thanks,
Adbury

 

[gtoguy97]

.Yes, the simplified formula is correct in this case. However, it is important to note that the pressure of the water-jet stream depends on other factors such as the viscosity and density of the fluid used, as well as the size of the nozzle. Therefore, in order to accurately calculate the pressure of the water-jet stream, it is important to take into account all of the relevant variables.