A question about water flow rate

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Discussion Overview

The discussion centers around understanding the relationship between water flow rate and the height achieved by water ejected from a nozzle with a diameter of 3mm. Participants explore concepts related to flow rate, head pressure, and the calculations necessary to select an appropriate pump for achieving a desired water height.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about the relationship between flow rate and the height of water ejected from a nozzle, seeking clarification on head pressure as well.
  • Another participant asserts that the height of the water is determined by the pressure at the nozzle exit, which influences the velocity and subsequently the height achieved.
  • A participant shares their approach to calculating the initial velocity of water using kinematic equations, assuming specific conditions such as initial position and time to reach the desired height.
  • The same participant proposes a formula for calculating flow rate based on the nozzle diameter and the velocity derived from their earlier calculations.
  • They also mention a method for estimating head pressure by measuring the vertical distance from the pump to the nozzle's outlet.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the calculations or methods for determining flow rate and head pressure, as various approaches and assumptions are presented without resolution.

Contextual Notes

Some assumptions made by participants include the neglect of factors such as friction losses and the specific characteristics of the pump, which may affect the accuracy of their calculations. The discussion does not clarify the dependencies on these factors.

Who May Find This Useful

This discussion may be useful for students and enthusiasts in engineering, particularly those interested in fluid dynamics, pump selection, and practical applications of physics in experiments.

alwindawee
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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.
 
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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.
 
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.
 

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