Modeling reaction fronts of separated condensed phase reactants

Sushilkumar Koundinyan, D. Scott Stewart, Moshe Matalon

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We present a Gibbs free energy approach to modeling reaction fronts in condensed phase reactive materials. The current interest is in chemical reactions of condensed phase reactants that are initially separated. In energetic materials such reactions are observed to occur extremely fast and at relatively sharp fronts. The condensed phase combustion process differs in several aspects from classical gaseous combustion due to the disparity between the characteristic thermal conductivity length and the mass diffusion lengths and a volume, temperature, stress, mass fraction equation of state that principally depends only on the component reference volumes and the current mixture composition. To retain a simple planar configuration, we consider the two reactants, in solid phase, are in motion towards each other characterized by counter-flow geometry. We apply the model to a simplified Titanium-Boron system and present the analysis of reaction zone length for various strain rates. The numerical results are validated with asymptotic approximations at the Burke-Schumann (complete combustion) limit.

Original languageEnglish (US)
Title of host publicationShock Compression of Condensed Matter - 2015
Subtitle of host publicationProceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter
EditorsRamon Ravelo, Thomas Sewell, Ricky Chau, Timothy Germann, Ivan I. Oleynik, Suhithi Peiris
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414570
StatePublished - Jan 13 2017
Event19th Biennial American Physical Society Conference on Shock Compression of Condensed Matter, SCCM 2015 - Tampa, United States
Duration: Jun 14 2015Jun 19 2015

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


Other19th Biennial American Physical Society Conference on Shock Compression of Condensed Matter, SCCM 2015
Country/TerritoryUnited States

ASJC Scopus subject areas

  • General Physics and Astronomy


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