A mechanism for hot spot generation in a reactive two- dimensional sheared viscous layer

Timms, Robert, Purvis, Richard and Curtis, John P. (2018) A mechanism for hot spot generation in a reactive two- dimensional sheared viscous layer. Combustion Theory and Modelling, 22 (3). pp. 554-584. ISSN 1741-3559

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Abstract

A two-dimensional model for the non-uniform melting of a thin sheared viscous layer is developed. An asymptotic solution is presented for both a non-reactive and a reactive material. It is shown that the melt front is linearly stable to small perturbations in the non-reactive case, but becomes linearly unstable upon introduction of an Arrhenius source term to model the chemical reaction. Results demonstrate that non-uniform melting acts as a mechanism to generate hot spots which are found to be sufficient to reduce the time to ignition when compared with the corresponding one-dimensional model of melting.

Item Type: Article
Uncontrolled Keywords: hot spot,ignition,shear-melting
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Pure Connector
Date Deposited: 12 Feb 2018 10:30
Last Modified: 18 Mar 2020 00:57
URI: https://ueaeprints.uea.ac.uk/id/eprint/66263
DOI: 10.1080/13647830.2018.1438670

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