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Combustion Theory and Modelling Volume 7, 2003 - Issue 1
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Original Articles

High order effects in one step reaction sheet jump conditions for premixed flames

J W Dold Mathematics Department, UMIST, Manchester, M60 1QD, UKCorrespondence[email protected]
,
R W Thatcher Mathematics Department, UMIST, Manchester, M60 1QD, UK
&
A A Shah Fuel and Energy Department, University of Leeds, Leeds, LS2 9JT, UK
Pages 109-127 | Received 29 Oct 2001, Accepted 24 Dec 2002, Published online: 16 Aug 2006

References

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  • Shah , A A , Thatcher , R W and Dold , J W . 2000 . Stability of a spherical flame ball in a porous medium . Combust. Theory Modelling , 4 : 511 – 34 .
  • Ascher , U and Petzold , L . 1991 . Projected implicit Runge-Kutta methods for differential-algebraic equations . SIAM J. Num. Anal. , 28 : 1097 – 120 .
  • Peters , N . 1997 . Kinetic foundation of thermal flame theory . Prog. Astronautics Aeronautics , 173 : 73 – 91 .
  • Dold , J W , Weber , R O , Thatcher , R W and Shah , A A . 2002 . Flame ball with thermally sensitive intermediate kinetics . Combust. Theory Modelling , submitted
  • Dold , J W , Thatcher , R W , Omon-Arancibia , A and Redman , J . 2003 . From one step to chain branching premixed flame asymptotics . Proc. Combustion Institute , 29 : 1519 – 26 .
  • Redman , J . 2002 . “ Modelling premixed flames with chain-branching chemistry ” . In Undergraduate MMath Project Report , Mathematics Department, UMIST .

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