19
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Attractor Dimension for a Simple Premixed Flame Propagation Model

&
Pages 15-32 | Received 22 Oct 1991, Published online: 24 Oct 2007
 

Abstract

—A premixed two-dimensional flame propagating from below in the vertical plane generates a convective motion,which is treated here in the Boussinescq approximation. A simple one–step chemical reaction model is assumed. Recently developed methods of functional analysis arc used to estimate the dimension of the attractor (essentially the number of degrees of freedom) characterizing the time asymptotic behavior of the flame propagation and the accompanying fluid motion. The attractor dimension is to found to depend on four characteristic lengths intrinsic to the model of the combustion process and to the fluid motion. In particular. for a laminar flame the estimate of the attractor dimension is dominated by the flame diffusion length and the thickness of the reaction zone.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.