Flame front as hydrodynamic discontinuity

ORAL

Abstract

We applied generalized Rankine-Hugoniot conditions to study the dynamics of unsteady and curved fronts as a hydrodynamic discontinuity. It is shown that the front is unstable and Landau-Darrieus instability develops only if three conditions are satisfied (1) large-scale vorticity is generated in the fluid bulk; (2) energy flux across the front is imbalanced; (3) the energy imbalance is large. The structure of the solution is studied in details. Flows with and without gravity and thermal diffusion are analyzed. Stabilization mechanisms are identified.

*NSF 1004330

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Authors

  • Yasuhide Fukumoto

    • University of Alabama, Huntsville, AL, USA
    • Stellingverf Consulting, Huntsville, AL, USA
    • University of Chicago, Chicago, IL, USA
    • Kyushu University, Japan

  • Yasuhide Fukumoto

    • University of Alabama, Huntsville, AL, USA
    • Stellingverf Consulting, Huntsville, AL, USA
    • University of Chicago, Chicago, IL, USA
    • Kyushu University, Japan