Flow in a liquid-liquid ejector pump

Input(s)

$\boldsymbol{v}_{\mathbf{2}}$ : Outlet Velocity $(\mathrm{ft} / \mathrm{s})$

$\rho$ : Density of Fluid $(\mathrm{g} / \mathrm{cc})$

$\boldsymbol{v}_{\mathbf{0}}$ : Inlet Velocity $(\mathrm{ft} / \mathrm{s})$

$\boldsymbol{E}_{v}$ : Energy Dissipation $\left(\mathrm{ft}^{2} / \mathrm{s}^{2}\right)$

$\boldsymbol{p}_{\mathbf{2}}-\boldsymbol{p}_{\mathbf{1}}$ : Pressure Drop (psi)

\begin{gathered} \mathrm{v}_{\mathrm{o}}=1.5 * \mathrm{v}_{2} \\ \mathrm{p}_{2}-\mathrm{p}_{1}=\left(\frac{1}{18}\right) * \rho *\left(\mathrm{v}_{\mathrm{o}}^{2}\right) \\ \mathrm{E}_{\mathrm{v}}=\left(\frac{5}{144}\right) *\left(\mathrm{v}_{\mathrm{o}}^{2}\right) \end{gathered}

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 7, Page: 211.