The University of Southampton
University of Southampton Institutional Repository

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

Record type: Article

The differences need to be understood between the leading order jump conditions, often assumed at a flame sheet in combustion theory, and the actual effect of a one step chemical reaction governed by Arrhenius kinetics. These differences are higher order in terms of a large activation temperature analysis and can be estimated using an asymptotic approach. This paper derives one order of asymptotic correction to the leading order jump conditions that are normally used for describing premixed laminar combustion, providing additional contributions that are due to curvature, flow through the flame sheet and the temperature gradient into the burnt gas. As well as offering more accurate asymptotic results, these can be used to estimate the errors that are inherent in adopting only the leading order version and they can point towards major qualitative changes that can occur at finite activation temperatures in some cases. Applied to steady non-adiabatic flame balls it is found that the effect of a non-zero temperature gradient in the burnt gas provokes the most serious deficiency in the asymptotic approach.

PDF higherorder.pdf - Other
Download (228kB)

Citation

Dold, J.W., Thatcher, R.W. and Shah, A.A. (2003) High order effects in one step reaction sheet jump conditions for premixed flames Combustion Theory Modelling, 7, (1), pp. 109-127. (doi:10.1088/1364-7830/7/1/306).

More information

Published date: 2003

Identifiers

Local EPrints ID: 44780
URI: http://eprints.soton.ac.uk/id/eprint/44780
PURE UUID: 1da74543-f4e7-46c8-aa1a-32c1dec5bfcd

Catalogue record

Date deposited: 15 Mar 2007
Last modified: 17 Jul 2017 15:13

Export record

Altmetrics

Contributors

Author: J.W. Dold
Author: R.W. Thatcher
Author: A.A. Shah

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×