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415:{\displaystyle {\frac {S_{T}}{S_{L}}}=1+{\mathcal {M}}_{c}\delta _{L}\nabla \cdot \mathbf {n} +{\mathcal {M}}_{s}\tau _{L}\mathbf {n} \cdot \nabla \mathbf {v} \cdot \mathbf {n} }
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87:& Guy Joulin. 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
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refers to a theoretical hydrodynamic model of a premixed flame with a large-amplitude flame wrinkling, developed independently by
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Clavin, Paul; Graña-Otero, José C. (2011-11-10). "Curved and stretched flames: the two
Markstein numbers".
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Combustion Waves and Fronts in Flows: Flames, Shocks, Detonations, Ablation Fronts and
Explosion of Stars
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Clavin, P.; Joulin, G. (1983). "Premixed flames in large scale and high intensity turbulent flow".
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Clavin, Paul (1985). "Dynamic behavior of premixed flame fronts in laminar and turbulent flows".
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91:, associated with the flame curvature and the strain imposed on the flame by the flow field.
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is the unit normal to the flame surface (pointing towards the burnt gas side),
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Matalon, M.; Matkowsky, B. J. (1982). "Flames as gasdynamic discontinuities".
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597:{\displaystyle \mathbf {n} \cdot \nabla \mathbf {v} \cdot \mathbf {n} }
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are the laminar burning speed and thickness of a planar flame (and
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for the curved flame with respect to the unburnt gas is given by
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is the flow velocity field evalauted at the flame surface and
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According to
Matalon–Matkowsky–Clavin–Joulin theory, if
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to it so that it can be listed with similar articles.
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604:corresponding to flow strain imposed on the flame.
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may be too technical for most readers to understand
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219:be the corresponding flame residence time with
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212:{\displaystyle \tau _{L}=D_{T,u}/S_{L}^{2}}
734:Clavin, Paul; Searby, Geoff (2016-07-28).
709:Progress in Energy and Combustion Science
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556:{\displaystyle \nabla \cdot \mathbf {n} }
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59:Learn how and when to remove this message
43:, without removing the technical details.
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73:Matalon–Matkowsky–Clavin–Joulin theory
535:, associated with the curvature term
41:make it understandable to non-experts
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813:needs additional or more specific
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524:{\displaystyle {\mathcal {M}}_{s}}
493:{\displaystyle {\mathcal {M}}_{c}}
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738:. Cambridge University Press.
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462:{\displaystyle \mathbf {v} }
440:{\displaystyle \mathbf {n} }
674:Journal de Physique Lettres
146:{\displaystyle \delta _{L}}
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769:Journal of Fluid Mechanics
639:Journal of Fluid Mechanics
651:10.1017/S0022112082002481
744:10.1017/cbo9781316162453
245:{\displaystyle D_{T,u}}
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276:{\displaystyle S_{T}}
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119:{\displaystyle S_{L}}
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95:Burning rate formula
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77:Moshe Matalon
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775:: 187–217.
715:(1): 1–59.
680:(1): 1–12.
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85:Paul Clavin
860:Combustion
849:Categories
815:categories
625:References
614:G equation
252:being the
789:0022-1120
694:0302-072X
659:0022-1120
587:⋅
579:∇
576:⋅
546:⋅
543:∇
405:⋅
397:∇
394:⋅
380:τ
354:⋅
351:∇
342:δ
162:τ
135:δ
822:help out
608:See also
820:Please
35:Please
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425:where
79:&
785:ISSN
748:ISBN
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655:ISSN
500:and
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71:The
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583:v
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384:L
374:s
368:M
362:+
358:n
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321:1
318:=
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307:S
301:T
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269:T
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238:u
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232:T
228:D
205:2
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196:S
191:/
185:u
182:,
179:T
175:D
171:=
166:L
139:L
112:L
108:S
62:)
56:(
51:)
47:(
33:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
