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Deriving a 1st Order Transfer Function: Taylor Series Linearization of DiffEqn for Laplace Transform 9 дней назад


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Deriving a 1st Order Transfer Function: Taylor Series Linearization of DiffEqn for Laplace Transform

[che-4071-hw4] 1. For a single tank of cross sectional area Ac, with liquid feed qin that is drained by gravity at the bottom of size Ah, derive the first order transfer function related the Laplace domain liquid level (H) and feed rate (Qin). Emphasize the importance of the Taylor series expansion to linearize the ODE, subtraction of the initial steady solution, and Laplace transformation of deviation variables. 2. For 3 identical gravity drained tanks in series, derive the transfer function relating the Laplace domain flow into the first tank (Qin) and the liquid level in the third tank (H3).

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