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The influence of reactant consumption on the critical conditions for homogeneous thermal explisions
Citation
Kassoy, D.R. and Liñán Martínez, Amable 
ORCID: https://orcid.org/0000-0002-6161-8715
(1978).
The influence of reactant consumption on the critical conditions for homogeneous thermal explisions.
"Quarterly Journal of Mechanics and Applied Mathematics", v. 31
(n. 1);
pp. 99-112.
ISSN 0033-5614.
Description
| Title: | The influence of reactant consumption on the critical conditions for homogeneous thermal explisions |
|---|---|
| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Quarterly Journal of Mechanics and Applied Mathematics |
| Date: | 1978 |
| ISSN: | 0033-5614 |
| Volume: | 31 |
| Subjects: | |
| Faculty: | E.T.S.I. Aeronáuticos (UPM) |
| Department: | Motopropulsión y Termofluidodinámica [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
The spatially homogeneous model of a high activation energy thermal explosion is studied when the heat loss parameter a is close to the classically-defined critical value a = e. Asymptotic solutions are developed which describe the time- history of the temperature and reactant depletion. It is shown that there is a critical time period, large with respect to the characteristic conduction time, in which the temperature variation is described by a Riccati equation. The solution properties of this nonlinear equation permit one to define a value of A = a — e which separates subsequent subcritical and supercritical behaviour.
More information
| Item ID: | 1381 |
|---|---|
| DC Identifier: | https://oa.upm.es/1381/ |
| OAI Identifier: | oai:oa.upm.es:1381 |
| Official URL: | http://qjmam.oxfordjournals.org/?code=qjmam |
| Deposited by: | Biblioteca ETSI Aeronauticos |
| Deposited on: | 20 Feb 2009 |
| Last Modified: | 20 Apr 2016 06:48 |
