When pumping a fluid, the pressure at the entrance to the pump must never drop below the saturation pressure of the fluid. If the pressure does drop below the saturation pressure, cavitation (the forming of vapor bubbles) occurs, which can damage the pump impeller. Consider the system shown in Figure P14.17 constructed of commercial steel pipe. For water at \(10^{\circ} \mathrm{C}\), determine the maximum possible flow rate without cavitation occurring (in \(\mathrm{m}^{3} / \mathrm{s}\) ). The vapor pressure of water is given by:

\[\log _{10} P(m m H g)=8.07131-\frac{1730.63}{233.426+T\left({ }^{\circ} C\right)}\]

Transcribed Image Text:

FIGURE P14.17 6 m Water 2 m 10C 8 m d = 0.06 m