Arrhenius Systems: Dynamics of Jump Due to Slow Passage through Criticality.

Abstract

Reactive systems involving Arrhenius kinetics often exhibit multiple steady states. A typical response is an S-curve, whose turnaround points correspond to ignition or extinction. This paper describes the dynamics of transition from the extinguished to the ignited state as the reaction-rate parameter is slowly varied through the critical value. Both lumped and spatially distributed models are studied. The asymptotic analysis is based on the largeness of two parameters: one characterizing the activation energy and the other the slow passage. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1980
Accession Number
ADA086376

Entities

People

  • A. K. Kapila

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Catalysts
  • Chemical Engineering
  • Chemical Reactions
  • Chemistry
  • Combustion
  • Differential Equations
  • Dynamics
  • Eigenvalues
  • Energy
  • Equations
  • Extinction
  • Heat Of Activation
  • Ignition
  • Mathematics
  • Steady State
  • Transitions
  • United States

Fields of Study

  • Mathematics

Readers

  • Combustion science or combustion engineering.
  • Control Systems Engineering.
  • Life Cycle Cost Analysis