Consider the liquid-level system shown below. At steady-state, the inflow rate and outflow rate are both...

 

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Consider the liquid-level system shown below. At steady-state, the inflow rate and outflow rate are both , the flow rate between the tanks is zero, and the heads of tank 1 and tank 2 are both H. At 1-0. the inflow rate is changed from to ē+q. where q is small. The resulting changes in the heads (₁ and ₂) and flow rates (q; and q2) are assumed to be small as well. The capacitances of tanks 1 and 2 are C₁ and C₂, respectively. The resistance of the valve between the tanks is R₁ and that of the outflow valve is R₂. Tank 1 باه لها نواة Q+q - F Tank 2 91 R₂ ·ē + 9₂ (25%) 1. Derive the transfer function for the system when q is the input and he is the output. (5%) 2. What is the steady-state response of h2 due to a unit-step input? Consider the liquid-level system shown below. At steady-state, the inflow rate and outflow rate are both , the flow rate between the tanks is zero, and the heads of tank 1 and tank 2 are both H. At 1-0. the inflow rate is changed from to ē+q. where q is small. The resulting changes in the heads (₁ and ₂) and flow rates (q; and q2) are assumed to be small as well. The capacitances of tanks 1 and 2 are C₁ and C₂, respectively. The resistance of the valve between the tanks is R₁ and that of the outflow valve is R₂. Tank 1 باه لها نواة Q+q - F Tank 2 91 R₂ ·ē + 9₂ (25%) 1. Derive the transfer function for the system when q is the input and he is the output. (5%) 2. What is the steady-state response of h2 due to a unit-step input?

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