A control scheme is to be developed for the evaporator

Chapter 18, Problem 18.20

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A control scheme is to be developed for the evaporator shown in Fig. E18.20. The feed and product streams are mixtures of a solute and a solvent, while the vapor stream is pure solvent. The liquid level is tightly controlled by manipulating the feed flow rate, wp. The product composition, Xp, and the feed flow rate, wp, are to be controlled by manipulating the product flow, wp, and the steam flow rate, Ws The evaporator "economy" is approximately constant, because E kg of solvent are evaporated for each kg of steam. The flow rates have units of kg/min, while the compositions are expressed in weight fraction of solute. Derive an expression for the relative gain array for this system .

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