Chemical Engineering

Download Process Dynamics and Control by Dale E. Seborg, Duncan A. Mellichamp, Thomas F. Edgar, PDF

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By Dale E. Seborg, Duncan A. Mellichamp, Thomas F. Edgar, Francis J. Doyle III

This 3rd variation presents chemical engineers with approach keep watch over options which are utilized in perform whereas supplying special mathematical research. various examples and simulations are used to demonstrate key theoretical innovations. New routines are built-in all through numerous chapters to augment suggestions. updated info can also be incorporated on real-time optimization and version predictive keep watch over to spotlight the numerous impression those suggestions have on business perform. And chemical engineers will locate new chapters on biosystems regulate to realize the newest viewpoint within the box.

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We first consider the rationale for dynamic models and then present a general strategy for deriving them from first principles such as conservation laws. Then dynamic models are developed for several representative processes. Finally, we describe how dynamic models that consist of sets of ordinary differential equations and algebraic relations can be solved numerically using computer simulation. 1 THE RATIONALE FOR DYNAMIC PROCESS MODELS Dynamic models play a central role in the subject of process dynamics and control.

If w changes, then T and the time dependence of the solution also change. This situation would occur, for example, if w1 changed from 500 kg/min to 600 kg/min. These more general situations will be addressed in Chapter 4. 3 DEGREES OF FREEDOM ANALYSIS To simulate a process, we must first ensure that its model equations (differential and algebraic) constitute a solvable set of relations. In other words, the output variables, typically the variables on the left side of the equations, can be solved in terms of the input variables on the right side of the equations.

1 dV p dt = w1 d(Vx) p~=w1x1 + wz - w (2-12) + wzxz-wx (2-13) Equation 2-13 can be simplified by expanding the accumulation term using the "chain rule" for differentiation of a product: d(Vx) dx dV p - - = pV- + pxdt dt dt (2-14) A stirred-tank blending process with a constant liquid holdup of 2 m3 is used to blend two streams whose densities are both approximately 900 kg/m3. The density does not change during mixing. 75. What is the steady-state value of x? Suppose that w1 changes suddenly from 500 to 400 kg/ min and remains at the new value.

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