Consider the liquid-level system treated in Example 7.4.10

Chapter , Problem 7.32

(choose chapter or problem)

Consider the liquid-level system treated in Example 7.4.10 and shown in Figure 7.4.12. The pump curve and the line for the steady-state flow through both valves are shown in Figure P7.32. It is known that the bottom area of the tank is \(2 \mathrm{~m}^{2}\) and the outlet resistance is \(R_{2}=400 \ 1 /(\mathrm{m} \cdot \mathrm{s})\).

(a) Compute the pump resistance \(_{1}\) and the steady-state height.

(b) Derive a linearized dynamic model of the height deviation \(\delta h\) in the tank.

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