On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere

RO Weber; G. C. Wake; H. S. Sidhu; G. N. Mercer; BF Gray; W Derrick; E Balakrishnan

doi:10.1017/S1446181100011433

On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere

RO Weber^*, G. C. Wake, H. S. Sidhu, G. N. Mercer, BF Gray, W Derrick, E Balakrishnan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Steady state solutions for spontaneous thermal ignition in a unit sphere are considered. The multiplicity of unstable, intermediate, steady state, temperature profiles is calculated and shown for selected parameter values. The crossing of the temperature profiles corresponding to the unstable, intermediate, steady states is exhibited in a particular case and is proven in general using elementary ideas from analysis. Estimates of the location of crossing points are given.

Original language	English
Pages (from-to)	77-85
Number of pages	9
Journal	ANZIAM Journal
Volume	43
Issue number	1
DOIs	https://doi.org/10.1017/S1446181100011433
Publication status	Published - Jul 2001
Event	Meeting on Combustion in honor of Brian Gray - MOLLYMOOK, Australia Duration: 11 Feb 1999 → 12 Feb 1999

Keywords

CRITICAL INITIAL CONDITIONS

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10.1017/S1446181100011433

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title = "On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere",

abstract = "Steady state solutions for spontaneous thermal ignition in a unit sphere are considered. The multiplicity of unstable, intermediate, steady state, temperature profiles is calculated and shown for selected parameter values. The crossing of the temperature profiles corresponding to the unstable, intermediate, steady states is exhibited in a particular case and is proven in general using elementary ideas from analysis. Estimates of the location of crossing points are given.",

keywords = "CRITICAL INITIAL CONDITIONS",

author = "RO Weber and Wake, {G. C.} and Sidhu, {H. S.} and Mercer, {G. N.} and BF Gray and W Derrick and E Balakrishnan",

year = "2001",

month = jul,

doi = "10.1017/S1446181100011433",

language = "English",

volume = "43",

pages = "77--85",

journal = "ANZIAM Journal",

issn = "1446-1811",

publisher = "Cambridge University Press (CUP)",

number = "1",

note = "Meeting on Combustion in honor of Brian Gray ; Conference date: 11-02-1999 Through 12-02-1999",

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T1 - On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere

AU - Weber, RO

AU - Wake, G. C.

AU - Sidhu, H. S.

AU - Mercer, G. N.

AU - Gray, BF

AU - Derrick, W

AU - Balakrishnan, E

PY - 2001/7

Y1 - 2001/7

N2 - Steady state solutions for spontaneous thermal ignition in a unit sphere are considered. The multiplicity of unstable, intermediate, steady state, temperature profiles is calculated and shown for selected parameter values. The crossing of the temperature profiles corresponding to the unstable, intermediate, steady states is exhibited in a particular case and is proven in general using elementary ideas from analysis. Estimates of the location of crossing points are given.

AB - Steady state solutions for spontaneous thermal ignition in a unit sphere are considered. The multiplicity of unstable, intermediate, steady state, temperature profiles is calculated and shown for selected parameter values. The crossing of the temperature profiles corresponding to the unstable, intermediate, steady states is exhibited in a particular case and is proven in general using elementary ideas from analysis. Estimates of the location of crossing points are given.

KW - CRITICAL INITIAL CONDITIONS

U2 - 10.1017/S1446181100011433

DO - 10.1017/S1446181100011433

M3 - Article

SN - 1446-1811

VL - 43

SP - 77

EP - 85

JO - ANZIAM Journal

JF - ANZIAM Journal

IS - 1

T2 - Meeting on Combustion in honor of Brian Gray

Y2 - 11 February 1999 through 12 February 1999

ER -

On the crossing of intermediate unstable steady state solutions for thermal ignition in a sphere

Abstract

Keywords

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