Consider the heat exchanger temperature ACS from Fig. 8.32. The temperature is controlled with a P controller with K c = 1. Being given a disturbance of the input temperature from 50 to 60 ∘ C,...

Consider the heat exchanger temperature ACS from Fig. 8.32.

The temperature is controlled with a P controller with K_c
= 1. Being given a disturbance of the input temperature from 50 to 60
^∘C, calculate the extra energy consumption due to the steady state offset. The characteristics of the equipment in the control loop are:

final control element –

transducer –

process – nominal flow through the heat exchanger –
 density of the fluid

specific heat
 heat transfer coefficient
 heat transfer area A_T
= 1 m².

What is the offset and the extra heat consumption if the setpoint is changed with +10^oC?