Obtain the transfer function between input volumetric flow rate into tank 1 and
ID: 1857557 • Letter: O
Question
Obtain the transfer function between input volumetric flow rate into tank 1 and output volumetric flow rate out of tank 2, for the two-tank problem shown. The volumetric flow rate at each valve is described by the nonlinear equation: q = alpha (Delta h)2 / 5, where Delta h is the difference in height (where applicable), and alpha is a constant. Assume the cross-sectional area of each tank to be 3 m2. You will need to linearize the conservation equations for the two tanks, separately. Obtain the linearized equations in terms of the perturbation variables. The perturbation variables are given as follows: h1 (t) = h1s + delta h1 (t) h2 (t) = h2s + delta h2 (t) qi (t) = qis + delta qi (t) qo (t) = qos + delta qo (t) In the above equations, quantities with a subscript 's' indicate steady-state values. Hence, you eventually need to find: delta Qo (s) / delta Qi (s), after the linearization process.Explanation / Answer
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