A thermodynamic Lyapunov Approach to the Stability Analysis of a Nonlinear Irreversible Process Having Multiplicity

  • Thuan C Nguyen University of Technology, VNU-HCM, 268 Ly Thuong Kiet Str., Dist. 10, HCM City, Vietnam
  • Ha N. Hoang Duy Tân University, 254 Nguyen Van Linh Road, Da Nang, Vietnam
Keywords: dynamical systems, multiplicity, Lyapunov function, stability, control, thermodynamics

Abstract

Following the second law of thermodynamics, the entropy is always created in irreversible processes such as reacting systems, etc. Under certain operating conditions, the reaction system can be operated with multiple steady states (also called the steady state multiplicity behavior). This behavior is considered for the illustration of the stability analysis of all possible steady states by Lyapunov methods using thermodynamics. More precisely, a novel symmetric storage function (or Lyapunov function candidate) is proposed on the basis of the so-called (non-symmetric) thermodynamic availability function. The acid-catalyzed hydration of 2-3-epoxy-1-propanol to glycerol subject to steady state multiplicity is used for further technical developments. The results are discussed with the inclusions of the simulations.

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Published
2017-06-30
How to Cite
Nguyen, T. C., & Hoang, H. N. (2017). A thermodynamic Lyapunov Approach to the Stability Analysis of a Nonlinear Irreversible Process Having Multiplicity. ASEAN Journal of Chemical Engineering, 17(1), 8-21. Retrieved from https://jurnal.ugm.ac.id/v3/AJChE/article/view/8920
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Articles