Calculating Flow Rate in a Converging Nozzle System

AI Thread Summary
To calculate the flow rate in a converging nozzle system, it's essential to determine the pressure drop (ΔP) accurately. ΔP can be defined as the difference in pressure from the inlet to the outlet, which includes the pressure drop across the nozzle. The user is considering using the head loss equation (hL) and the flow rate equation (q) based on pressure and area, but clarification on ΔP is needed. The flow rate can be derived using the appropriate equations once ΔP is defined correctly. Understanding these relationships is crucial for accurate flow rate calculations in fluid dynamics applications.
npc214
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Hey everyone,

I have a fluid system of water coming from a pressure source. Then there is a converging nozzle, which I have calculated the resistance coefficient using Crane's Manual and it has an outlet to the atmosphere.
I have tried to simplify the system. The full system is a pressure source, converging nozzle which has outlet into original diameter at converging nozzle inlet followed by hose to outlet to atmosphere. (this is like a fire hose system - slightly different for my actual application)​

The pressure of the pressure source is my independent variable, I am doing a sweep in excel. So if it helps for simplicity, you can assume the pressure is 100 psi.

How do I calculate the flow rate (in GPM)? Do I need to take away the outlet of the system?

Currently I am thinking using:

hL = [k(v)^2]/(2g)
ΔP = (ρ*hL)/144
then what for q??

Or I am thinking q = K*A*(2*144*g*ΔP/ρ)
but then what is ΔP?? is it the pressure drop across the converging nozzle or is it the pressure drop from the inlet to outlet at atmospheric?
 
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