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

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 that are found to b...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1080/13647830.2018.1438670

Authors


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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
ORCID:
0000-0002-8858-4818
Curtis, JP More by this author
Publisher:
Taylor and Francis Publisher's website
Journal:
Combustion Theory and Modelling Journal website
Volume:
22
Issue:
3
Pages:
554–584
Publication date:
2018-02-28
Acceptance date:
2018-02-04
DOI:
EISSN:
1741-3559
ISSN:
1364-7830
Pubs id:
pubs:904986
URN:
uri:cd534f28-aa79-4fc1-9218-4e941a52ec11
UUID:
uuid:cd534f28-aa79-4fc1-9218-4e941a52ec11
Local pid:
pubs:904986

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