CHE 4198 Chapter : 2011Tutorial5

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15 Mar 2019
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Let us consider a simple blending process depicted in with two feed streams and one product stream. The feed streams contain aqueous mixture of a component with different compositions (mass fractions), hence requiring a blending operation to deliver a product stream with the desired composition. We will denote the volumetric flow rate (m3/min) of a stream with f and x will represent the component mass fraction. 1 min; h : liquid level in tank. Example 1: the nonlinear model: the model equations for the blending process are given as: dh dt. To linearize the nonlinear differential equations, they will be expanded in a taylor series around the steady-state operating point, and all terms after the first- order derivatives will be neglected. Example 1: state-space model: the set of linear equations that represent the dynamic model of the blending process can be summarized as: hafafa. Applying the laplace transform to both equations, we obtain hs xs.

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