Critical values for some non-class A geometries in thermal ignition theory

E. Balakrishnan, A. Swift, G. C. Wake

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

In a previous paper, the authors used a path-following method for the two point boundary value problem governing the ignition of a solid reactant undergoing slow oxidation for symmetric class A geometries and showed the occurrence of multiplicity of steady states. In this paper, the problem is solved in some non-class A geometries (infinite square rod and cube), making use of finite difference discretization of the boundary value problem. It is shown that the multiplicity of steady states changes and that the critical parameters are also different from those found from the shape factor approach.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalMathematical and Computer Modelling
Volume24
Issue number8
DOIs
Publication statusPublished - Oct 1996

Fingerprint

Ignition
Boundary value problems
Critical value
Multiplicity
Path-following Methods
Geometry
Two-point Boundary Value Problem
Oxidation
Regular hexahedron
Finite Difference
Discretization
Boundary Value Problem
Hot Temperature
Class
Factors
Finite difference

Keywords

  • Boundary value problems
  • Combustion
  • Limit points
  • Nonlinear systems

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

Critical values for some non-class A geometries in thermal ignition theory. / Balakrishnan, E.; Swift, A.; Wake, G. C.

In: Mathematical and Computer Modelling, Vol. 24, No. 8, 10.1996, p. 1-10.

Research output: Contribution to journalArticle

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