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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
Example 8.5
The concentration of a chemical in the vessel shown in Figure 8.27 is determined by the
differential equation
V
Q
dc
dt
þ c ¼ c
1
(8:180)
where
V is the constant volume of liquid in the vessel
Q is the constant ow rate of liquid in and out of the vessel
c
1
is the concentration of chemical in the liquid owing in
c is the concentration of the chemical in the well-stirred vessel
(a) Find the analytical solution for the concentration c(t), t 0 when the input c
1
(t) ¼ c
1
, t 0.
(b) Find the difference equation for simulating the concentration response using AM-2 integra-
tion with step size T.
(c) Find an expression for the steady-state value c(n)
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Publisher Resources

ISBN: 9781439836736