Free batch expansion of a compressible fluid

Input(s)

S2S_{2}: Output Surface Area (ft2)\left(\mathrm{ft}^{2}\right)

P1\boldsymbol{P}_{\mathbf{1}}: Input Pressure (psi)(\mathrm{psi})

ρ1:\boldsymbol{\rho}_{1}: Density (ppg)

γ\gamma: Adiabatic Constant (dimensionless)

Output(s)

wmax w_{\text {max }}: Discharge Rate (lb/s)(\mathrm{lb} / \mathrm{s})

Formula(s)

wmax=S2((P1ρ1γ((2γ+1)γ+1γ1))0.5)\mathrm{w}_{\max }=\mathrm{S}_{2} *\left(\left(\mathrm{P}_{1} * \rho_{1} * \gamma *\left(\left(\frac{2}{\gamma+1}\right)^{\frac{\gamma+1}{\gamma-1}}\right)\right)^{0.5}\right)

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 15, Page: 474.


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