Matalon–Matkowsky–Clavin–Joulin theory

The Matalon–Matkowsky–Clavin–Joulin theory refers to a theoretical hydrodynamic model of a premixed flame with a large-amplitude flame wrinkling, developed independently by Moshe Matalon & Bernard J. Matkowsky and Paul Clavin & Guy Joulin, following the pioneering study by Paul Clavin and Forman A. Williams and by Pierre Pelcé and Paul Clavin. The theory, for the first time, calculated the burning rate of the curved flame that differs from the burning rate of the planar flame due to flame stretch, associated with the flame curvature and the strain imposed on the flame by the flow field. Specifically, the theory unraveled two important results

  • The usual Rankine–Hugoniot conditions, applicable across the flame, gets a correction due to the inner structure of the premixed flame.
  • The burning-rate of the flame is influenced by the intrinsic curvature (seen by an observer moving with the flame) and tangential straining of the flame due to flow non-uniformities.
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