By Stanley Middleman

ISBN-10: 0070418519

ISBN-13: 9780070418516

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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 .

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Fundamentals of Polymer Processing by Stanley Middleman


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