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This system is non-self regulating process with mathematical model :

dh/dt = (fi-fo)/C

where

fi = flow input, fo = flow output, C = tank capacity or volume tank.

I want make tranfer function of this system so from above mathematical model, I extend :

C = Q/A and fo = a*sqrt(2gh)

therefore,

dh/dt = Q/A (fi-(a*sqrt(2gh))

is it right ? if it is right how to find tranfer function for output h and input qi?

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    $\begingroup$ what's Q and A? also the last expression, in the algebra looks like you substituted C for 1/C ?? Also this looks like homework. $\endgroup$
    – Pete W
    Commented Dec 16, 2021 at 22:15

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