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Area of Science:

  • Multiphysics
  • Chemical Engineering
  • Thermodynamics

Background:

  • Thermal waves are common phenomena in nature and engineering.
  • Current diagnostic tools struggle to differentiate between reaction and transport roles in thermal waves.
  • This limitation hinders a complete understanding of thermal wave physics and predictive capabilities.

Purpose of the Study:

  • To develop a method for learning thermal properties and chemical kinetics directly from thermal wave dynamics.
  • To enable the determination of unobserved reaction rates without extensive state variable measurements.
  • To enhance the comprehension of reaction-transport coupling in thermal wave phenomena.

Main Methods:

  • Utilized partial differential equation-constrained optimization to analyze thermal wave dynamics.
  • Applied the method to both steady planar and unsteady pulsating wave examples.
  • Reconstructed wave dynamics using inferred thermal properties and chemical kinetics.

Main Results:

  • Successfully learned thermal properties and chemical kinetics from observed thermal wave dynamics.
  • Demonstrated the ability to determine reaction rates without a full set of state variable measurements.
  • Reconstructed wave dynamics accurately using the inferred parameters.

Conclusions:

  • The developed method provides a powerful tool for diagnosing thermal wave behavior.
  • It enables a deeper understanding of the interplay between reaction and transport processes.
  • This approach advances the prediction and control of thermal wave dynamics in various applications.