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

Robert Timms, Richard Purvis, John P. Curtis

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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.
Original languageEnglish
Pages (from-to)554-584
Number of pages31
JournalCombustion Theory and Modelling
Issue number3
Publication statusPublished - 28 Feb 2018


  • Hot spot
  • Ignition
  • Shear-melting

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