THERMAL IGNITION ANALYSIS IN BOUNDARY LAYER FLOWS.

Chung King Law, H. K. Law

Research output: Contribution to journalConference article

Abstract

The weakly reactive state leading to the ignition of a steady laminar boundary layer flow of a combustible mixture over a hot, isothermal, non-permeable, non-catalytic flat plate is studied both numerically and also using matched asymptotic analysis in the realistic limit of large activation energy. It is shown that the flow consists of a locally similar diffusive-reactive region next to the plate and a non-similar diffusive-convective region external to it; that the analytic solution obtained reproduces the lower half of the S-shaped ignition-extinction response curve such that ignition is expected to occur when a suitably-defined Damkoehler number, which increases with the streamwise distance, reaches unity; and that at the point of ignition, the heat transfer from the wall vanishes identically. An explicit expression for the minimum distance for ignition to occur has also been derived.

Original languageEnglish (US)
JournalAmerican Society of Mechanical Engineers (Paper)
Issue number78 -WA/HT-47
StatePublished - Jan 1 1978

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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