how can i calculate distance of water flow out

[basilis]

it’s the first time I’m writing. I will be glad if you can help me. I want to construct a pressing. I would like to know the formula for the calculation of the distance the water would flow away, if we suppose that we have a high pressure pump of 15litre/minute, 170 bar, hose diameter 25mm, 3 m long rubber tube and a nozzle (tip) 5mm. Thank you for your time, any assistance would be acceptable.

[admin]

To calculate distance you must first calculate velocity on the outlet of 5mm orifice at the end of hose.

Using orifice flow calculation I get following report:
http://www.pipeflowcalculations.com/orifice/

Orifice plate calculator CALCULATION REPORT
1. diameter (D1): D1 = 25 mm
2. diameter (D2): D2 = 5 mm
3. pressure on bigger diameter (p1): p1 = 170 bar
4. pressure on smaller diameter (p2): p2 = 101325 Pa
5. pressure drop (p1-p2): p1-p2 = 1.6898676E+007 Pa
6. kinematic viscosity (ν): ν = 1.006 mm2/s
7. dynamic viscosity (μ): μ = 0.0010060001 Pas
8. density (ρ): ρ = 1000 kg/m3
9. volumetric flow rate (q): q = 7.911538 m3/h
10. mass flow rate (w): w = 2.1976511 kg/s
11. velocity (V1): V1 = 4.477018 m/s
12. velocity (V2): V2 = 111.92544 m/s
13. Reynolds number (ReD): ReD = 111257.89
14. coefficient of discharge (Cd): Cd = 0.6090415

There you see that velocity on the orifice is 112 m/s which should be used as starting point for distance calculation. It is like the calculation of angled projectile - you must know angle and velocity of projectile to get the distance.

[basilis]

thank you for your response.if i understand right ,the pressure on smaller diameter (p2) don't have any relationship with the results.the same it's for dynamic viscosity (μ).my hose is in parallel and in 3m from the ground.how can i calculate the pressure it fall in the ground.thank you very much for your help it was very,very helpfull

[admin]

I assumed that the flow is going out to atmosphere where pressure is 101325 Pa. And once stream is in atmosphere pressure is atmospheric all the way to the ground.

[basilis]

i want to apologize for my late reply but ihave a little acident and iwas in hospital for few months.my question is and what about the 15 l/m
ithink that as the flow is bigger the velocity is much bigger.corect me if iam wrong

[admin]

I am very sorry for your accident. Good to know that you are ok now.

You problem has two aspects. One thing is the pressure that your pump can supply 170 bar, and the other thing is 15 L/m - pump capacity. In above given results you can see the for 170 bar, maximum flow rate through the pipe is 7.9m3/h which is 131 L/m - but your pump does not have that capacity. So correct results would be:

Orifice plate calculator

1. tube diameter (D1):
D1 : 25 mm

2. orifice diameter (D2):
D2 : 5 mm

3. pressure in front of orifice (p1):
p1 : 3.157 bar

4. pressure after orifice (p2):
p2 : 1.01 bar

5. pressure drop (p1-p2):
p1-p2 : 214700.0 Pa

6. kinematic viscosity (ν):
ν : 1.006 mm2/s

7. dynamic viscosity (μ):
μ : 0.0010060001 Pas

8. density (ρ):
ρ : 1000 kg/m3

9. volume flow rate (q):
q : 14.952831 l/min

10. weight flow rate (w):
w : 0.24921435 kg/s

11. velocity in front of orifice (V1):
V1 : 0.50769526 m/s

12. velocity in orifice (V2):
V2 : 12.692381 m/s

13. Reynolds number in front of orifice (ReD):
ReD : 12616.681

14. coefficient of discharge (C):
C : 0.61200476

This means that at maximum pump flow rate of 15 L/min, pressure of the pump will be 3.157 bar for flow through orifice of 5 mm to atmosphere. Outflow velocity is 12.7 m/s.

In other words, in order to get pump maximum of 15 L/min, it is not needed to have 170 bar pressure. Velocity of 12.7 m/s should now be used as start parameter for angled projectile calculation.

Hope this helps.