Problem B$-7-3$

At steady state, the flow rate throughout the liquid$-$level system shown in Figure $7-30$

is $()/($bar$)($Q$),$ and the heads of tanks $1$ and $2$ are $()/($bar$)($H$)\_(1)$ and $()/($bar$)($H$)\_(2),$ respectively. At t$=0,$ the inflow

rate is changed from $()/($bar$)($Q$)$ to $()/($bar$)($Q$)+$q$,$ where qh$\_(1)$ and h$\_(2)$ q$\_(1)$ and q$\_(2)$ C$\_(1)$ and C$\_(2),$ respectively. The resistance of the outflow valve of tank

$1$ is R$\_(1)$ and that of tank $2$ is R$\_(2).$ Obtain the transfer function for the system when q is the

input and q$\_(2)$ the output.

Figure $7-30$ Liquid$-$level system.