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International Heat Transfer Conference 7

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

BOUNDARY LAYER IGNITION FOR LARGE ACTIVATION ENERGIES WITH FINITE PLATE THICKNESS

Cesar Trevino
Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 Mexico D.F., Mexico

A. C. Fernandez-Pello
Department of Mechanical Engineering University of California Berkeley, CA 94720

DOI: 10.1615/IHTC7.2460
pages 503-508

Abstract

An analysis is performed of the influence of the plate thermal resistance on the boundary layer thermal ignition of a premixed combustible gas for the case of large activation energy. The analysis makes use of the boundary layer approximation to describe the gas flow and of first order matched asymptotic expansions to define ignition. Explicit expressions are derived for the critical Damkohler number for ignition and for the ignition distance. It is shown that these variables depend on a non-dimensional parameter that includes the plate and gas thermal resistances (Biot number) and the local Damkohler number. The magnitude of the ignition variables increases with this parameter. Comparison of the results for high and low activation energies shows that their magnitude affects not only the location of ignition but the relative position of the adiabatic and ignition points.

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