A mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layer
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 linea...
| Main Authors: | , , |
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| Format: | Journal article |
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Taylor and Francis
2018
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| _version_ | 1797095454167531520 |
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| author | Timms, R Purvis, R Curtis, JP |
| author_facet | Timms, R Purvis, R Curtis, JP |
| author_sort | Timms, R |
| collection | OXFORD |
| description | 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 be sufficient to reduce the time to ignition when compared with the corresponding one-dimensional model of melting. |
| first_indexed | 2024-03-07T04:28:01Z |
| format | Journal article |
| id | oxford-uuid:cd534f28-aa79-4fc1-9218-4e941a52ec11 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:28:01Z |
| publishDate | 2018 |
| publisher | Taylor and Francis |
| record_format | dspace |
| spelling | oxford-uuid:cd534f28-aa79-4fc1-9218-4e941a52ec112022-03-27T07:27:57ZA mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layerJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cd534f28-aa79-4fc1-9218-4e941a52ec11Symplectic Elements at OxfordTaylor and Francis2018Timms, RPurvis, RCurtis, JPA 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 be sufficient to reduce the time to ignition when compared with the corresponding one-dimensional model of melting. |
| spellingShingle | Timms, R Purvis, R Curtis, JP A mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layer |
| title | A mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layer |
| title_full | A mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layer |
| title_fullStr | A mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layer |
| title_full_unstemmed | A mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layer |
| title_short | A mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layer |
| title_sort | mechanism for hot spot generation in a reactive two dimensional sheared viscous layer |
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