5.13Case Study: Cascaded Tanks with Flow Logic Control

The system shown below consists of two tanks arranged in a series configuration (Figure 5.153).

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Figure 5.153Cascaded tanks.

The first tank has two input flow sources.

1.The external input f1,1 which is zero if the parameter K1 = 0, or a flowrate F1 when K = 1,

f1,1={0,K1=0F1,K1=1

(5.178)

The constant flowrate F1 is regulated by a control valve which is in the wide open position over the time interval t0 t t1 and closed at all other times. A constant flow of magnitude “A” occurs when the valve is in the open position. Hence,

F1={0,     t<t0A,    t0tt10,     t>t1

(5.179)

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