Mathematical Analysis of Reactive Multiphase Flows

Abstract

This work provides a mathematical analysis of a reactive multiphase flow model introduced by Baer and Nunziato in their studies of deflagration-to detonation transition (DDT) in reactive granular materials. This work combines asymptotic methods with numerical computations and theoretical analysis. In particular, we derive an asymptotic model to explain the formation and growth of hot spots during DDT in reactive granular materials. The model is founded on nonlinear geometrical optics and high energy asymptotics near choked flow states. Through analysis and numerical simulations, the model is able to reproduce several of the scenarios for DDT previously documented in the literature for the continuum model of Baer and Nunziato.

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Document Details

Document Type
Technical Report
Publication Date
Jul 17, 1992
Accession Number
ADA253854

Entities

People

  • Pedro F. Embid

Organizations

  • University of New Mexico

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • C4I
  • Counter IED

DTIC Thesaurus Topics

  • Chemical Reactions
  • Combustion
  • Convection
  • Detonation Waves
  • Detonations
  • Differential Equations
  • Energy
  • Equations
  • Explosives
  • Flow
  • Hot Spots
  • Mathematical Analysis
  • Mathematics
  • Multiphase Flow
  • New Mexico
  • Partial Differential Equations
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Combustion science or combustion engineering.
  • Computational Fluid Dynamics (CFD)