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GIVE FULL COMPLETE SOLUTION AND COMPLETE WORKINGOUT OF SOLUTION DONT JUST WRITE SIMPLE ONE LINE EQUATIONS GIVE CONPLMPLETE SOLUTION Consider the cylindrical tank in the
GIVE FULL COMPLETE SOLUTION AND COMPLETE WORKINGOUT OF SOLUTION
DONT JUST WRITE SIMPLE ONE LINE EQUATIONS GIVE CONPLMPLETE SOLUTION
Consider the cylindrical tank in the Fig
ure mixing a pure component A stream
and an inert solvent stream. Assume
perfect flow control. A P level controller
with a gain manipulates
the outflow with the two inflow streams
being independent. Initially the system
is at steady state with the salient de
sign and operating conditions noted in
the Figure. The initial hold up is
of full tank capacity. Answer the follow
ing questions.
a Using linearization, derive a linear dynamic ODE model relating the outlet A concentration
to the two independent flow rate setpoints, and
b Present the ODE model above as a block diagram with appropriate transfer functions.
c Obtain an analytic expression for for the linear ODE clerived in part a for a step change
in the solvent flow rate of size
d It is proposed to use a PI controller that manipulates to hold The integral time
is set to twice the mixing tank residence time at the initial steady state and the controller
gain is chosen for a dominant closed loop pole pair damping coefficient of Calculate
and
e Obtain an analytical expression for the response of to a step change in the solvent rate
of size with the composition controller in part d on automatic.
f What is the maximum deviation from setpoint in the closed loop response.
Consider first order reaction that means r kcA
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