Flow rate through orifice

Input(s)

CdC d : Dimensionless Flow Factor (dimensionless)

ρ1\rho_{1} : Initial Density (ppg)(\mathrm{ppg})

ρ2\rho_{2}: Final Density (ppg)(\mathrm{ppg})

P1P_{1}: Initial Pressure (psi)(\mathrm{psi})

P2P_{2}: Final Pressure (psi)

γ\gamma: Adiabatic Constant (dimensionless)

SoS_{o} : Output Cross Section (ft2)\left(\mathrm{ft}^{2}\right)

S1S_{1} : Input Cross Section (ft2)\left(\mathrm{ft}^{2}\right)

Output(s)

w: Flow Rate (ft3/s)\left(\mathrm{ft}^{3} / \mathrm{s}\right)

Formula(s)

w=Cdρ2So(2(P1ρ1)(γγ1)(1((P2P1)γ1γ))1((SoS1)2)((P2P1)2γ))0.5w=C d * \rho_{2} * S_{o} *\left(\frac{2 *\left(\frac{P_{1}}{\rho_{1}}\right) *\left(\frac{\gamma}{\gamma-1}\right) *\left(1-\left(\left(\frac{P_{2}}{P_{1}}\right)^{\frac{\gamma-1}{\gamma}}\right)\right)}{1-\left(\left(\frac{S_{o}}{S_{1}}\right)^{2}\right) *\left(\left(\frac{P_{2}}{P_{1}}\right)^{\frac{2}{\gamma}}\right)}\right)^{0.5}

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 15, Page: 472.


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