Question 7.4: A Single-Tank Liquid-Level System with a Pump Consider the s...
A Single-Tank Liquid-Level System with a Pump
Consider the single-tank liquid-level system shown in Figure 7.11, where a pump is connected to the bottom of the tank through a valve of linear resistance R. The inlet to the pump is open to the atmosphere, and the pressure of the fluid increases by \Delta p when crossing the pump. Derive the differential equation relating the liquid height h and the volume flow rate q_{o} at the outlet. The tank’s cross-sectional area A is constant. The density \rho of the liquid is constant.
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