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Chapter 3. Dynamic Modeling (Part 2). Unsteady-State Mass Balance. Unsteady-State Energy Balance. Constitutive Relationships. Usually in the form of algebraic equations. Used with the balance equations to model chemical engineering processes. Examples include: Reaction kinetic expressions

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Presentation Transcript
chapter 3

Chapter 3

Dynamic Modeling

(Part 2)

slide2
Unsteady-State Mass Balance

Unsteady-State Energy Balance

constitutive relationships
Constitutive Relationships
  • Usually in the form of algebraic equations.
  • Used with the balance equations to model chemical engineering processes.
  • Examples include:
    • Reaction kinetic expressions
    • Equations of state
    • Heat transfer correlation functions
    • Vapor/liquid equilibrium relationships
different types of modeling terms
Different Types of Modeling Terms
  • Dependent variables are calculated from the solution of the model equations.
  • Independent variables require specification by the user or by an optimization algorithm and represent extra degrees of freedom.
  • Parameters, such as densities or rate constants, are constants used in the model equations.
dynamic model for cst thermal mixer
Dynamic Model for CST Thermal Mixer
  • The model assumes perfect level control:
slide6
Dynamic Model for CST Composition Mixer
  • The model assumes perfect level control:
dynamic model for tank level
Dynamic Model for Tank Level
  • Accumulation of mass in the tank is equal to the mass flow rate in minus the mass flow rate out.
  • For a gravity drained tank,
dynamic model for tank level1
Dynamic Model for Tank Level
  • Actuator on flow out of the tank.
  • Process model
  • Level sensor since the level sensor is much faster than the process and the actuator
slide10
Dynamic Model for CSTR
  • Actuator
  • Process

model

  • Sensor
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