Stirred Tank Heaters

©7 December 1994 - B. Wayne Bequette

After studying this Module, the reader should be able to:

• Develop the nonlinear dynamic model of a perfectly mixed stirred tank heater.
• Find the state space and transfer function form of a linearized stirred tank heater.
• Compare the dynamic responses of the nonlinear and linear models.
• Use MATLAB for linear and nonlinear simulations.
• Analyze phase-plane behavior.

1. Introduction.
2. Developing the Dynamic Model.
3. Steady-state Conditions.
4. State Space Model.
5. Laplace Domain Model.
6. Step Responses: Linear vs. Nonlinear Models.
7. Unforced System Responses. Perturbations in Initial Conditions.

• Introduction
• Developing the Dynamic Model
  • Material Balance Around Tank
  • Energy Balance Around Tank
  • Material Balance Around the Jacket
  • Energy Balance Around the Jacket
• Steady-State Conditions
  • Parameters and Steady-State Values
• State Space Model
• Laplace Domain Model
• Step Responses: Linear vs. Nonlinear Models
  • Small Increase in Jacket Temperature
  • Large Increase in Jacket Flowrate
  • Large Decrease in Jacket Flowrate
  • Small Decrease in Jacket Flowrate
• Unforced System Responses. Perturbations in Initial Conditions
• Summary
• References
• Student Exercises
• Appendix
• About this document ...