On the structure of the deflagration for the generalized reaction-rate model

W. B. Bush and L. Krishnamurthy

Mathematical Problems in Engineering, 1996, vol. 2, 1-13

Abstract:

The structure of the deflagration is examined by means of an asymptotic analysis of the physical-plane boundary-value problem, with Lewis-Semenov number unity, in the limit of the activation-temperature ratio, β = T a / T b , greater than order unity, for the generalized reaction-rate-model case of (1) the heat-addition-temperature ratio, α = ( T b − T u ) / T u , of order unity [where T a , T b , and T u are the activation, adiabatic-flame (and/or burned-gas), and unburned-gas temperatures, respectively]; and (2) the exponent, a , which characterizes the pre-exponential thermal dependence of the reaction-rate term, unity. This examination indicates that the deflagration has a four-region structure. To obtain a uniformly valid solution of the problem, in addition to the (classical) upstream diffusion-convection and downstream diffusion-reaction regions, a far-upstream (or cold-boundary) region and a far-downstream (or hot-boundary) region must be introduced.

Date: 1996
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2/215410.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2/215410.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:215410

DOI: 10.1155/S1024123X96000427

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().