6.7. Starting from first principles, derive the transfer functions H₁ (s)/Q(s) and H₂(s)/Q(s) for the liquid-level system shown in Fig. P6-7. The resistances are linear and R₁ = R₂ = 1. Note that two streams are flowing from tank 1, one of which flows into tank 2. You are expected to give numerical values of the parameters in the transfer functions and to show clearly how you derived the transfer functions.

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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6.7. Starting from first principles, derive the transfer functions H₁ (s)/Q(s) and H₂(s)/Q(s) for the
liquid-level system shown in Fig. P6-7. The resistances are linear and R₁ = R₂ = 1. Note
that two streams are flowing from tank 1, one of which flows into tank 2. You are expected
to give numerical values of the parameters in the transfer functions and to show clearly how
you derived the transfer functions.
9(1)
4₂=2 ft²
h₂
R₁ = 1
Tank 1
4₂=1 ft²
h₂
R₂ = 2
R₂ = 1
Transcribed Image Text:6.7. Starting from first principles, derive the transfer functions H₁ (s)/Q(s) and H₂(s)/Q(s) for the liquid-level system shown in Fig. P6-7. The resistances are linear and R₁ = R₂ = 1. Note that two streams are flowing from tank 1, one of which flows into tank 2. You are expected to give numerical values of the parameters in the transfer functions and to show clearly how you derived the transfer functions. 9(1) 4₂=2 ft² h₂ R₁ = 1 Tank 1 4₂=1 ft² h₂ R₂ = 2 R₂ = 1
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