The Stochastic Flamelet Model of turbulent premixed combustion
A new stochastic model is presented and used to calculate the properties of turbulent premixed flames in the flame-sheet regime. The flame sheet is represented statistically by infinitesimal flamelets, each of which is characterized by its position, its unit normal vector, and its (infinitesimal) area. The evolution of the position and normal are completely determined by the fluid velocity and its spatial derivatives following the flamelet, which are modelled by stochastic processes. The flamelet area changes by stretching caused by velocity gradients, by the propagation of cusps, and because of curvature. An additional model is developed to account for the latter two mechanisms. The Stochastic Flamelet Model is used in conjunction with the joint pdf approach to make calculations of non-stationary, statistically-plane turbulent premixed flames. These calculations demonstrate the practicality of the method and illustrate its attributes. Because it contains a natural and comprehensive statistical description of the flame sheet, the model allows the essential physical processes to be incorporated in a straightforward manner. 22 refs., 6 figs.
- Research Organization:
- Massachusetts Inst. of Tech., Cambridge, MA (USA)
- Sponsoring Organization:
- DOE/ER
- DOE Contract Number:
- FG02-86ER13553; AC02-83ER13038
- OSTI ID:
- 7020360
- Report Number(s):
- CONF-880802-12; ON: DE90006313
- Country of Publication:
- United States
- Language:
- English
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990200 -- Mathematics & Computers
CHEMICAL REACTION KINETICS
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FUNCTIONS
GAUSS FUNCTION
HEAT ENGINES
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ISOTROPY
KINETICS
MATHEMATICAL MODELS
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REYNOLDS NUMBER
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