How Is Mass Flow Rate Calculated Through an Orifice?

AI Thread Summary
The discussion revolves around calculating the mass flow rate (Qm) of an orifice using a specific formula. The provided formula is Qm = C/(SQRT(1-BETA^4)) * e1 * PI/4 * d^2 * SQRT(2*DP*p), with values for C, BETA, e1, diameter (d), differential pressure (DP), and density (p) specified. The user is struggling to understand how to apply these values to arrive at the calculated mass flow rate of 2.220256 Tonnes/hr. Additional guidance on breaking down the formula and its components is requested. The discussion emphasizes the need for clarity in applying fluid dynamics principles to solve the problem.
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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