An electrically heated stirred tank system of section 2.4.3 (page 23) of the Textbook is modeled by the following second
Posted: Mon May 16, 2022 1:14 pm
An electrically heated stirred tank system of section 2.4.3
(page 23) of the Textbook is modeled by the following second order
differential equation: 9 d 2T/dt 2 + 12 dT/dt + T = T i + 0.05 Q
where T i and T are inlet and outlet temperatures of the liquid
streams and Q is the heat input rate. At steady state T i,ss = 100
oC, T ss = 350 oC, Q ss=5000 kcal/min (a) Obtain the transfer
function T’(s)/Q’(s) for this process [Transfer_function] (b) Time
constant τ and damping coefficient ζ in the transfer function are:
[Tau], [Zeta] (c) At t= 0, if Q is suddenly changed from 5000
kcal/min to 6000 kcal/min, calculate the exit temperature T after 2
minutes. [T-2minutes] (d) Calculate the exit temperature T after 8
minutes. [T-8minutes]
(page 23) of the Textbook is modeled by the following second order
differential equation: 9 d 2T/dt 2 + 12 dT/dt + T = T i + 0.05 Q
where T i and T are inlet and outlet temperatures of the liquid
streams and Q is the heat input rate. At steady state T i,ss = 100
oC, T ss = 350 oC, Q ss=5000 kcal/min (a) Obtain the transfer
function T’(s)/Q’(s) for this process [Transfer_function] (b) Time
constant τ and damping coefficient ζ in the transfer function are:
[Tau], [Zeta] (c) At t= 0, if Q is suddenly changed from 5000
kcal/min to 6000 kcal/min, calculate the exit temperature T after 2
minutes. [T-2minutes] (d) Calculate the exit temperature T after 8
minutes. [T-8minutes]