Blowdown time in unsteady gas flow

Input(s)

V\mathrm{V}: Volume (ft3)\left(\mathrm{ft}^{3}\right)

Cd\boldsymbol{C}_{\boldsymbol{d}}: Valve Discharge Coefficient (dimensionless)

Av\boldsymbol{A}_{\boldsymbol{v}}: Valve Area (in. 2{ }^{2} )

γ\boldsymbol{\gamma}: Gas Specific Density (dimensionless)

z: Average Gas Compressibility (dimensionless)

T\mathrm{T}: Temperature (K)(\mathrm{K})

Pa\boldsymbol{P}_{\boldsymbol{a}}: Initial Pressure (psi)

Pb\boldsymbol{P}_{\boldsymbol{b}}: Output Pressure (psi)

B: Constant

Output(s)

t: Interstitial Velocity2 (cm/s)(\mathrm{cm} / \mathrm{s})

Formula(s)

t=(BVCdAv)(γzT)0.5ln(PaPb)t=\left(\frac{B * V}{C_{d} * A_{v}}\right) *\left(\frac{\gamma}{z * T}\right)^{0.5} * \ln \left(\frac{P_{a}}{P_{b}}\right)

Reference(s)

John M. Campbell, Gas Conditioning and Processing, Campbell Petroleum Series, Oklahoma, 1992, Vol. 2, Page 29.


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