Consider the single-tank liquid-level system shown in Figure 7.19, where the volume flow rate into the tank through a pipe is \(q_{\mathrm{i}}\). The liquid leaves the tank through an orifice of area \(A_{0}\). Denote \(C_{\mathrm{d}}\) as the discharge coefficient, which is the ratio of the actual mass flow rate to the theoretical one, and lies in the range of \(0

height \(h\) and the volume flow rate \(q_{\mathrm{i}}\) at the inlet. The tank's cross-sectional area is constant. The density \(ho\) of the liquid is constant.

Pa FIGURE 7.19 Problem 7. A Orifice