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Spring 2006 Process Dynamics, Operations, and Control 10 ...

Spring 2006 Process Dynamics, Operations, and Control Lesson 4: Two Tanks in series context and direction In Lesson 3 we performed a material balance on a mixing tank and derived a first-order system model. We used that model to predict the open-loop Process behavior and its closed-loop behavior, under feedback Control . In this lesson, we complicate the Process , and find that some additional analysis tools will be useful. DYNAMIC SYSTEM BEHAVIOR math model of continuous blending tanks We consider two tanks in series with single inlet and outlet streams. F, CAiF, CA1volume V1volume V2F, CA2F, CAiF, CA1volume V1volume V2F, CA2 Our component A mass balance is written over each tank.

Spring 2006 Process Dynamics, Operations, and Control 10.450 Lesson 4: Two Tanks in Series (3) solve the original second equation for C′ A1 (4) substitute in the equation of the first step. The result is () ' Ai ' A2 ' A2 2 1 2 ' A2 2 1 2 C C dt dC dt d C ττ + τ +τ + = (4.2-3) Two mass storage elements led to two first-order equations ...

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