How Is Mass Flow Rate Calculated Through an Orifice?

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SUMMARY

The mass flow rate through an orifice can be calculated using the formula Qm = C/(SQRT(1-BETA^4)) * e1 * PI/4 * d^2 * SQRT(2*DP*p). In this case, with C = 0.602193, BETA = 0.423554, e1 = 0.9999333, d = 74.03900 mm, DP = 926.262 Pa, and p = 29.579049 kg/m^3, the resulting mass flow rate Qm is 2.220256 Tonnes/hr. This formula incorporates the orifice coefficient and various parameters that influence flow characteristics.

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  • Knowledge of pressure differentials in fluid systems
  • Basic mathematical skills for manipulating equations
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afclegend81
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hi all,

First all my disipline is not fluids so this is why asking for little help here on the following.

Basically i have all the required information but i can't seem to figure out how the answer to the mass flow rate of an orifice is obatained, its doing my head in, if anyone could break down the formulae for me with the values i would be very gratefull, here is the info.

From what i have found the forumlae for Qm is

Qm = C/(SQRT(1-BETA^4)) * e1 * PI/4 * d^2 * SQRT(2*DP*p)

Think this is correct.

C = 0.602193
BETA = 0.423554
e1 = 0.9999333
d = 74.03900mm
DP = 926.262 Pa
p = 29.579049 kg/m^3

the answer for Qm is 2.220256 Tonnes/hr, i just can't figure out how this is obtained

Thanks in advance

Steven
 
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Google "orifice coefficient."
 

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