Dynamic models $-$ Stirred tank heating process $($Constant holdup$)$

Assumptions:

Perfect mixing

Liquid holdup is constant $)=(w$

$p$ and $C$ are constant

Heat losses are negligible

$N_F=4-1$

$=3.$

Energy balance:

$\frac{d{U}_{\text{i}\text{n}\text{t}}}{dt}=VC\frac{dT}{dt},=>\frac{N_f}{\text{W}\text{h}\text{i}\text{c}\text{h}\text{c}\text{o}\text{m}\text{i}\text{n}\text{d}\text{v}\text{a}\text{l}\text{e}\text{s}\text{a}\text{n}\text{d}}=3$

$-(what(H))=w[C(T_i-T_{\text{r}\text{e}\text{t}})]-w[C(T-T_{\text{r}\text{e}\text{f}})]$

Parameter: $V,,C$

Which com take amb, Pariables: $T,T,w,w,Q$

$N_v=4,N_E=1$;$N_f=N_v-N_E=4-1=3$

eutput: Y$,$ Disturbance:

Manipulated: $Q(m).$

detail out how we arrive the mass and energy balance equation given in the figure