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 |
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Uncontrolled Keywords: | hot spot,ignition,shear-melting |
Faculty \ School: | Faculty of Science > School of Mathematics |
UEA Research Groups: | Faculty of Science > Research Groups > Fluid and Solid Mechanics |
Depositing User: | Pure Connector |
Date Deposited: | 12 Feb 2018 10:30 |
Last Modified: | 21 Oct 2022 18:31 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/66263 |
DOI: | 10.1080/13647830.2018.1438670 |
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