solving using 3 steps
DESCRIPTION
Solving using 3 steps. What If…. A Stirring Tank.. Stream 1 has A&B, Stream 2 has pure A. Applying 3 steps. Mass Balance: eqn (1) Assume steady state,. Component Balance: Component A: Component B:. Energy Balance: eqn (2). Transfer Function. Let say want to find, - PowerPoint PPT PresentationTRANSCRIPT
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Solving using 3 steps..
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What If…
A Stirring Tank..
Stream 1 has A&B, Stream 2 has pure A
![Page 3: Solving using 3 steps](https://reader036.vdocuments.us/reader036/viewer/2022062410/56815749550346895dc4ecf4/html5/thumbnails/3.jpg)
Applying 3 steps..
Mass Balance:
eqn (1)
Assume steady state,
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Component Balance:
Component A:
Component B:
![Page 5: Solving using 3 steps](https://reader036.vdocuments.us/reader036/viewer/2022062410/56815749550346895dc4ecf4/html5/thumbnails/5.jpg)
Energy Balance:
eqn (2)
![Page 6: Solving using 3 steps](https://reader036.vdocuments.us/reader036/viewer/2022062410/56815749550346895dc4ecf4/html5/thumbnails/6.jpg)
Transfer Function
Let say want to find,
Assume steady state, eqn (1) & (2) become,
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Linearization
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Linearized equation yield:
Laplace Transforming:
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Assume nominal steady state,
Equation become:
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By assuming T2, w1 & w2 are constants,Transfer function can be found to be:
ρ=80 kg/m3, V= 200 m3,
Steady state flow rate:w3=150 m3/s , w1=100 m3/s,
T1 step change from 400C to 500C
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Using Simulink..
By substituting given information, transfer function become:
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By using Simulink, the results are as follow: