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Standard Flow Compensation Question

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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 * (ρdesstd) = K * (√ΔP/√ρdes)*(ρdesstd) =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?
 
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