Critical Behavior in Small Particle Combustion

Abstract

Small particles combusting under free molecular conditions are shown to exhibit critical behavior under conditions of high collision efficiency. At a particular collision efficiency the particle behavior transitions from non-critical to critical (or runaway) behavior. Non-critical behavior is defined as a finite particle temperature at burnout, while critical behavior implies an infinitely increasing particle temperature at burnout. The critical collision efficiency is derived from the governing equations for free molecular combustion of small particles. The critical collision efficiency is shown to be a function of the specific heats of the gas and the particle, and is independent of the particle size. Analytic and numerical results are compared. Particle radiation is included in the numerical results. The inclusion of radiation does not effect the critical collision efficiency, although radiation does decrease the rate of particle temperature increase.

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Document Details

Document Type
Technical Report
Publication Date
Jan 14, 1999
Accession Number
ADA370980

Entities

People

  • Robert S. Hiers Iii

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Air Force
  • Astronautics
  • Coefficients
  • Combustion
  • Differential Equations
  • Energy
  • Energy Transfer
  • Equations
  • Heat Energy
  • Heat Transfer
  • Particle Size
  • Specific Heat
  • Thermal Properties
  • Thermodynamic Properties
  • Thermodynamics
  • Vaporization

Fields of Study

  • Physics

Readers

  • Combustion science or combustion engineering.
  • Fluid Dynamics.
  • Plasma Physics.