A mechanism for hot-spot generation in a reactive two-dimensional sheared viscous layer. Issue 3 (4th May 2018)

• Record Type: Journal Article
• Authors: Timms, Robert; Purvis, Richard; Curtis, John P.
• Is Part Of: Combustion theory and modelling. Volume 22:Issue 3(2018)
• Page Start: 554
• Page End: 584
• Publication Date: 2018-05-04
• Subjects: hot spot -- ignition -- shear-melting; Combustion -- Mathematical models -- Periodicals; 541.361
• DOI: 10.1080/13647830.2018.1438670
• Languages: English
• ISSNs: 1364-7830

Abstract

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 be sufficient to reduce the time to ignition when compared with the corresponding one-dimensional model of melting.