Solving Stirring Tank Problem Using Mass and Energy Balance with Simulink
This document outlines a systematic approach to analyze a stirring tank with two streams: Stream 1 containing components A and B, and Stream 2 consisting of pure A. It applies mass balance and energy balance equations under steady-state assumptions. The process involves linearization and Laplace transforming to derive the transfer function. Given parameters such as density, volume, and flow rates, we utilize Simulink to simulate the system and present the results. This method enhances understanding of dynamic behavior in chemical processes.
Solving Stirring Tank Problem Using Mass and Energy Balance with Simulink
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Presentation Transcript
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, Assume steady state, eqn (1) & (2) become,
Linearized equation yield: Laplace Transforming:
Assume nominal steady state, Equation become:
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
Using Simulink.. By substituting given information, transfer function become:
