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Applied Process Control by Michael Mulholland

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3Problems – Modelling

P_3.1 3.3

In the system shown, an exothermic reaction occurs in dilute aqueous solution in the upper volume V1, with heat being removed through the floor area A into volume V2. Cooling water flows through V2, which is well mixed.

Figure depicting a reactor being fed from the top. An exothermic reaction occurs in dilute aqueous solution in the upper volume V1. V1 is separated from volume V2 by the floor area A. Cooling water is observed flowing through V2.
  1. Write down the equations describing this system. Do not substitute your algebraic equations into your differential equations.
  2. Using the values given below, program a simple Euler integration of this system using a time step loop in which you first evaluate the algebraic equations and then the changes in the states, on each step.
  3. Using an arbitrary initial condition, run your program until ...

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