Determine the transfer function H(s)/Q(s) for the liquid-level system shown in Fig. Resistances R1 and R2...

Determine the transfer function H(s)/Q(s) for the liquid-level system shown in Fig. Resistances R1
and R2 are linear. The flow rate from tank 3 is maintained constant at b by means of a pump; i.e.,
the flow rate from tank 3 is independent of head h. The tanks are noninteracting

Solutions

Expert Solution

given that the three tanks are connected in series

overall transfer function

where = transfer function of tank 1

=transfer function of tank 2

=transfer function of tank 3

liquid level systems are first order systems with time constant where A = area of tank and R = resistance to flow

where

given flow rate from tank 3 is maintained constant by means of a pump which means it is a pure capacitive system( those system whose output functions does not depend on its input function)

transfer function

Amanda K answered 1 year ago

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