A question about water flow rate

[alwindawee]

Hi all, I'm doing a experiment at home I'm trying to know how the flow rate on the water height that tossed from a nozzle with 3mm of diameter.

By an other word if there is a relationship between flow and the height please some one explain it to me.

Also I wana to know if the head pressure if the water height that tossed from a nozzle.

thanks in advance.

 

[russ_watters]

The height the water will go to is a function of the pressure at the exit only. The pressure determines the velocity, which determines the height.

 

[nvn]

alwindawee: Perhaps try thread https://www.physicsforums.com/showthread.php?t=368030#post2522120", posts 4 and 6.

 

[alwindawee]

thanks, russ.

thank you too nvn, I have read the post but did not reach what I need, I think if I explain the problem a little more you could help so this what the problem.

I wana the water go for the desired height and want to know how much flow rate and how much head (Q and H) needed so I can choose the right pump.

And this is the way I imagined the matter:

I applied this formula "s=s0+(v0*t)+(0.5*a*t^2)" and solved for v0 supposing that:

s0=0 .... at the nozzle.
t=1s .... I suppose that water reach the desired height in 1s.
a=9.81 ... the acceleration due to gravity.

finding v0 which is the initial velocity the water tossed with from the nozzle.

Then applying the formula "Flow Rate = 0.25 * pi * (pipe diameter)^2 * velocity"

solving for flow rate I'll find the needed flow rate so I can select the pump.

and for the Head Pressure (H) as I know we can determine the needed H approximately by measuring the distance from the spot that the pump stands to the nozzles tossing hole.

this is the way I calculate things, if it's wrong please help me and by the way I'm a electronic engineering student but like mechanics.

thanks for you response again.