The influence of reactant consumption on the critical conditions for homogeneous thermal explisions

Kassoy, D.R. and Liñán Martínez, Amable (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:
  • Kassoy, D.R.
  • Liñán Martínez, Amable
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

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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: http://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
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