Insult,
Bernoulli across the orifice,
(note i left out the density variable on purpose)
1. If its gas before the meter and gas after the meter and the meter only loses 10-20 psi with no temperature change across the meter, yes I would assume an ideal gas to size the meter.
2. The temperature changed is 90 degrees from where? If it doesn't change 90 degrees across the meter its not relavent.
3. Why not assume flow can be controlled to be equal?
4. V1 is the flow upstream, V2 and downstream of the meter, V1 = V2 (assuming upstream and downstream piping is the same diameter). What is missing is the head loss of the flow across the orifice.
H1 + V1^2 + P1- Hlo = H2 + V2^2 + P2
assume pressure loss is 10-20 psi, T1 = T2, ideal gas
Same pipe diameter upstream and downstream, V1 = V2
Estimate orifice diameter first using ideal gas
for small pressure drop rho1 = rho2
Assume elevation upstream = elevation downstream
H1 = H2
V1^2 + P1- Hlo= V2^2 + P2
V1 = V2
P1 - Hlo = P2
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Lee,
To estimate size the meter (an orifice plate with dP)
Use Bernoulli upstream of orifice and through (inside) the orifice
V1 = velocity upstream
V2 = velocity through orifice
H1 = H2
rho1 = rho2, small pressure drop
T1 = T2
H1+V1^2 + P1= H2 + V2^2 + P2
V1^2 + P1= V2^2 + P2
P1-P2 = V2^2-V1^2
then downstream
P2 - P3 = V3^2 - V2 + orifice flow recovery factor * (P2-P3)
iterate until you only have a small pressure drop
Going the Big Inch!