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A-4-2 consider the liquid-level sys` shown in figure 4-28. at steady state, the rate and outflow rate are Q and the flow rate between the tanks is zero. the heads of tank 1 and 2 are both H. at t=0, the inflow rate is changed from Q to Q+q, where q is a small change in the inflow rate. the resulting changes in the heads() and flow rates() are assumed to be small. the capacitances of tanks 1 and 2 are C1 and C2 , respectively. the resistance of the v/v between the tanks is R1 and that of the outflow v/v is R2.
derive mathematical models for the system when (a) q is the input and h2 is the output (b) q
is the input and is the output, and (c) q is the input and h1 is the output.