Orifice Calculations: Convert Pressure Difference to Mass Flow Rate

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Discussion Overview

The discussion focuses on converting pressure difference measurements from an orifice into mass flow rate for air in a pipe. It involves the application of fluid dynamics principles and the use of coefficients of discharge.

Discussion Character

  • Technical explanation, Homework-related

Main Points Raised

  • One participant describes their project involving an orifice to measure pressure difference and seeks assistance in converting these measurements into mass flow rate.
  • Another participant suggests that for a square or sharp-edged orifice, the coefficient of discharge (Cd) can be approximated as 0.6.
  • A request is made for the equation to calculate mass flow rate, along with an explanation of its parameters and variables.
  • A link to a resource is provided that offers information on calculating volumetric flow rate and mentions a polynomial expression for Cd based on beta ratio and Reynolds number, referencing ASME specifications.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the specific equation for mass flow rate or the exact value of the coefficient of discharge, indicating that multiple views and uncertainties remain in the discussion.

Contextual Notes

The discussion does not clarify the assumptions regarding the flow conditions or the specific characteristics of the orifice used, which may affect the calculations.

almarzooq
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Hi there,

I have used an orifice for my project to measure the pressure difference and hence the mass flow rate of air going through a pipe of 26 mm diameter. i kept changing the flow from max to min and ended up with values of pressure diference. The questions here is how to convert thses values ( in meters) into mass flow rate (kg/s) ?? I tried to find equations for this but they have the coefficient of discharge involved and i cannot find this value ! can anyone help me on this please ?

regards
 
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If it is a square or sharp edged orifice, the starting point for Cd is 0.6.
 
thanx a lote , can please post the equation to find the mass flow rate here and explain its parameters and variables ?
 
http://www.pipeflowcalculations.com/orifice/theory.htm

This will give you volumetric flow rate, but I am assuming that you can calculate mass flow from there.

By the way, for anyone else interested, this reference gives the polynomial expression for calculating Cd based mostly on beta ratio and Re. This is referenced in the ASME spec on orifice calculations. I haven't found it stated anywhere else yet. It's a nice piece of information.
 
Last edited:

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