December 2002
Intermediate to advanced
800 pages
18h 7m
English
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3.5. First-Order Behavior
Many chemical processes can be modeled as first-order systems. The differential equation for a linear first-order process is often written in the following form:
Equation 3.25
This can also be written as
where the parameters (τp and kp) and variables (y and u) have the following names: τp is the process time constant (units of time), kp the process gain (units of output/input), y the output variable, and u the input variable. Taking the Laplace transform of each term (notice that we are now using lower-case variables to ...
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