MER21
Mechanical
- Apr 23, 2011
- 5
Can someone explain why the design and actual MWs are inverted on standard flow compensation? Everything appears to work out fine for volumetric and mass flow compensation, but my actual and design MWs are inverted for standard mass flow compensation. Consider the following:
P/ρ = Z*(1545/MW)*T or ρ ∝ (P*MW)/(Z*T)
Qmeas = K * (√ΔP/√ρdes) and mmeas = K * (√ΔP*√ρdes)
meas = measured, des = design conditions, act = actual conditions
Volumetric Flow Compensation
Qact = K * (√ΔP/√ρdes) * (√ρdes/√ρact), or
Qact = Qmeas * √(Pdes/Pact) * √(MWdes/MWact)*√(Zact/Zdes)*√(Tact/Tdes)
Mass Flow Compensation
mact = K * (√ΔP * √ρdes) * (√ρact/√ρdes), or
mact = mmeas * √(Pact/Pdes) * √(MWact/MWdes)*√(Zdes/Zact)*√(Tdes/Tact)
Standard Flow Compensation
Qsmeas = Qmeas * (ρdes/ρstd) = K * (√ΔP/√ρdes)*(ρdes/ρstd) =K* (√ΔP * √ρdes)/ρstd, or
Qsact = K* (√ΔP * √ρdes)/ρstd * (√ρact/√ρdes) = Qsmeas * (√ρact/√ρdes), or
Qsact = Qsmeas * √(Pact/Pdes) * √(MWact/MWdes)*√(Zdes/Zact)*√(Tdes/Tact)
But the formula for standard flow compensation uses √(MWdes/MWact) - why?
P/ρ = Z*(1545/MW)*T or ρ ∝ (P*MW)/(Z*T)
Qmeas = K * (√ΔP/√ρdes) and mmeas = K * (√ΔP*√ρdes)
meas = measured, des = design conditions, act = actual conditions
Volumetric Flow Compensation
Qact = K * (√ΔP/√ρdes) * (√ρdes/√ρact), or
Qact = Qmeas * √(Pdes/Pact) * √(MWdes/MWact)*√(Zact/Zdes)*√(Tact/Tdes)
Mass Flow Compensation
mact = K * (√ΔP * √ρdes) * (√ρact/√ρdes), or
mact = mmeas * √(Pact/Pdes) * √(MWact/MWdes)*√(Zdes/Zact)*√(Tdes/Tact)
Standard Flow Compensation
Qsmeas = Qmeas * (ρdes/ρstd) = K * (√ΔP/√ρdes)*(ρdes/ρstd) =K* (√ΔP * √ρdes)/ρstd, or
Qsact = K* (√ΔP * √ρdes)/ρstd * (√ρact/√ρdes) = Qsmeas * (√ρact/√ρdes), or
Qsact = Qsmeas * √(Pact/Pdes) * √(MWact/MWdes)*√(Zdes/Zact)*√(Tdes/Tact)
But the formula for standard flow compensation uses √(MWdes/MWact) - why?