Download Process Control: A First Course with MATLAB (Cambridge by Pao C. Chau PDF

By Pao C. Chau

Procedure regulate covers the main crucial features of technique keep watch over compatible for a one-semester introductory path. whereas classical options are mentioned, Chau additionally covers kingdom house modeling and keep watch over, a contemporary regulate subject missing in so much introductory texts. MATLAB, a favored engineering software program package deal, is hired as a strong but approachable computational software. every one bankruptcy concludes with challenge units, to which tricks or options are supplied. The help web site offers first-class aid within the means of MATLAB outputs of textual content examples and MATLAB classes, references, and supplementary notes.

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Example text

N – 1 s + 1) (τ n s + 1) 1 (3-36) Many texts illustrate with a model on the change of inlet flow rate. In such a case, we usually need to assume that the outlet flow rate of each vessel is proportional to the liquid level or hydrostatic head. The steady state gains will not be unity. 3 - 12 In this example, the steady state gain is unity, which is intuitively obvious. If we change the color of the inlet with a food dye, all the mixed tanks will have the same color eventually. In addition, the more tanks we have in a series, the longer we have to wait until the n-th tank "sees" the changes that we have made in the first one.

Finally, if all the tanks have the same space time, τ1 = τ2 = …= τ, Eq. (3-36) becomes Cn 1 = C o (τ s + 1) n (3-37) This particular scenario is not common in reality, but is a useful textbook illustration. 3. Make use of Eq. (3-37), show how the unit step response Cn(t) becomes more sluggish as n increases from 1 to 5. The exercise is almost trivial with MATLAB. To generate Fig. 9, becomes slower. If we ignore the “data” at small times, it appears that the curves might be approximated with first order with dead time functions.

The balance written for the reactant A will appear as: V d CA dt = q (C o – C A) – VkC A where CA is the molar concentration of A, V is the reactor volume, q is the volumetric flow rate, Co is the inlet concentration of A, and k is the first order reaction rate constant. If we define space time τ = V/q, the equation can be rewritten as τ d CA dt + (1 + kτ) C A = C o This is a linear equation if k and τ are constants. 2, we should find that the time constant of a CSTR with a first order reaction is τ/(1 + kτ).

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