By Dale E. Seborg, Duncan A. Mellichamp, Thomas F. Edgar, Francis J. Doyle III
This 3rd variation offers chemical engineers with technique keep an eye on options which are utilized in perform whereas supplying particular mathematical research. quite a few examples and simulations are used to demonstrate key theoretical ideas. New workouts are built-in all through numerous chapters to enhance thoughts. up to date info is additionally integrated on real-time optimization and version predictive keep watch over to spotlight the numerous impression those recommendations have on commercial perform. And chemical engineers will locate new chapters on biosystems regulate to achieve the most recent viewpoint within the box.
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Extra info for Process Dynamics and Control
Calculate the response, T(t), to a sudden change in Q from 5000 to 5400 kcal/min using Eq. (2-49). Plot the temperature response. (c) Suppose that it can be assumed that the term meCefheAe is small relative to other terms in (2-49). Calculate the response T(t) for the conditions of part (b), using a firstorder differential equation approximation to Eq. (2-49). Plot T(t) on the graph for part (b). (d) What can we conclude about the accuracy of the approximation for part (c)? SOLUTION (a) The steady-state form of Eq.
A structured approach to modeling involves a systematic analysis to determine the number of degrees of freedom and a procedure for assigning them. 2. In Step 4 the output variables include the dependent variables in the ordinary differential equations. For Step 5 the NF degrees of freedom are assigned by specifying a total of NF input variables to be either disturbance variables or manipulated variables. In general, disturbance variables are determined by other process units or by the environment.
This assumption is reasonable because often the density has only a weak dependence on composition. For constant p, Eqs. 2-2 and 2-3 become dV 1 = - (w1 + Wz - w) dt p dx w1 wz dt = Vp (x1 - x) + Vp (xz- x) - (2-17) (2-18) The dynamic model in Eqs. 2-17 and 2-18 is quite general and is based on only two assumptions: perfect mixing and constant density. For special situations, the liquid volume Vis constant (that is, dV/dt = 0), and the exit flow rate equals the sum of the inlet flow rates, w = w1 + w2 .
Process Dynamics and Control by Dale E. Seborg, Duncan A. Mellichamp, Thomas F. Edgar, Francis J. Doyle III