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'''Laminar flame speed''' is a property of a combustible mixture.<ref>http://www.clarke-energy.com/2013/laminar-flame-speed/ Laminar Flame Speed</ref>  It is the speed at which an un-stretched [[laminar]] flame will propagate through a quiescent mixture of unburned reactants.  Laminar flame speed is given the symbol ''s''<sub>L</sub>.  According to the thermal flame theory of [[Ernest-François Mallard|Mallard]] and [[Henry Louis Le Chatelier|Le Chatelier]], the un-stretched laminar flame speed is dependent on only three properties of a chemical mixture: the [[thermal diffusivity]] of the mixture, the [[reaction rate]] of the mixture and the temperature through the flame zone:


<math>
s_\mathrm{L}^{\circ} = \sqrt{\alpha \dot{\omega} \left( \dfrac{T_\mathrm{b} - T_\mathrm{i}}{T_\mathrm{i} - T_\mathrm{u}} \right)}
</math>


<math> \alpha </math> is thermal diffusivity,
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<math> \dot{\omega} </math> is reaction rate,
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and the temperature subscript '''u''' is for unburned, '''b''' is for burned and '''i''' is for ignition temperature.
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While the laminar flame speed is a property of the mixture alone, the same is not true for turbulent flame speed - or turbulent burning velocity as it is more correctly called. As flow velocity increases and [[turbulence]] is introduced, a flame will begin to wrinkle, then corrugate and eventually the flame front will be broken and transport properties will be enhanced by turbulent eddies in the flame zone.  As a result, the flame front of a turbulent flame will propagate at a velocity that is not only a function of the mixture's chemical properties but also properties of the flow and turbulence.
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==See also==
* [[Flame speed]]
* [[Chemical kinetics]]
 
== References ==
{{Reflist}}
 
[[Category:Combustion]]

Latest revision as of 20:34, 29 March 2014


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