
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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Transcribed Image Text:2. The idea was not to overcomplicate (after all, we are reading numbers from a graph)
the analysis but to find parameter values that make sense in terms of fitting the curve
given in the question.
T =
t90-t30
In(7)
; ta = t90 - Tln (10)
My (very rough) estimates are:
t30≈ 30s t90≈ 50s T≈ 0.5 * (5030) 10s ta 1.2 × 30 – 0.2 × 50≈ 26s
Note that this short-cut method of fitting the FOPDT model is based on forcing agreement
with the process data where it reaches 30% and 90% of its ultimate value.
It should be noted that this approximation doesn't necessarily give us the best fit to all the
data (since we're considering the two selected points only), but it can representative enough
to give a useful quick indication.

Transcribed Image Text:2. A process is subjected to a unit step change in input and responds in the way shown
in Figure 1. Fit a first order plus dead-time model to this process and find the values
of the model parameters.
Figure Q2
15.0
14.8
14.6
14.4
14.2
14.0
13.8
13.6
13.4-
13.2-
13.0-
12.8
12.6
12.4
12.2
12.0
0
I
10
1
20
30
40
50
Time (sec)
1
60
70
80
Figure 1: Model response to a step change.
90
100
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