A Hypothetical Burning-Velocity Formula for Very Lean Hydrogen-Air Mixtures

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Very lean hydrogen-air mixtures experience strong diffusive-thermal types of cellular instabilities that tend to increase the laminar burning velocity above the value that applies to steady, planar laminar flames that are homogeneous in transverse directions. Flame balls constitute an extreme limit of evolution of cellular flames. To account qualitatively for the ultimate effect of diffusive-thermal instability, a model is proposed in which the flame is a steadily propagating, planar, hexagonal, close-packed array of flame balls, each burning as if it were an isolated, stationary, ideal flame ball in an infinite, quiescent atmosphere. An expression for the laminar burning velocity is ... continued below

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Williams, Forman; Williams, Forman A & Grcar, Joseph F June 30, 2008.

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Very lean hydrogen-air mixtures experience strong diffusive-thermal types of cellular instabilities that tend to increase the laminar burning velocity above the value that applies to steady, planar laminar flames that are homogeneous in transverse directions. Flame balls constitute an extreme limit of evolution of cellular flames. To account qualitatively for the ultimate effect of diffusive-thermal instability, a model is proposed in which the flame is a steadily propagating, planar, hexagonal, close-packed array of flame balls, each burning as if it were an isolated, stationary, ideal flame ball in an infinite, quiescent atmosphere. An expression for the laminar burning velocity is derived from this model, which theoretically may provide an upper limit for the experimental burning velocity.

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  • Journal Name: Proceedings of the Combustion Institute; Journal Volume: 32

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  • Report No.: LBNL-720E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 935704
  • Archival Resource Key: ark:/67531/metadc894071

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  • June 30, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • Nov. 8, 2016, 1:18 p.m.

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Williams, Forman; Williams, Forman A & Grcar, Joseph F. A Hypothetical Burning-Velocity Formula for Very Lean Hydrogen-Air Mixtures, article, June 30, 2008; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc894071/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.