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The validity condition for quasi-steady (mixture fraction based) modeling is derived and discussed.
(The term "mixture fraction based combustion model" refers to an approach that uses the mixture fraction as an independent variable).
In turbulent reacting flows of practical interest, the application of mixture fraction based combustion models is computationally burdensome due to the added dimension of the mixture fraction.
A soot formation and oxidation model is presented for laminar axisymmetric non-premixed flames using a mixture fraction based combustion model, which is appropriate for fires where the detailed chemistry of the fuels is unknown.
This study demonstrates that the scaling laws are suitable to serve as sub-grid scale models for mixture fraction based approaches such as flamelet, conditional moment closure (CMC) or multiple mapping conditioning (MMC) methods.
Recently, Buriko et al. [1] have suggested that the quasi-steady approximation in mixture fraction based modeling is applicable to predict average species mass fractions in turbulent hydrogen/air jet flames.
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This suggests that the cutoff length scale determined from Rayleigh scattering measurements may be used to define the local resolution requirements and optimal data processing procedures for accurate determination of the mean mixture fraction dissipation, based upon Raman scattering measurements or other multiscalar imaging techniques.
The new modeling approach describes the small-scale segregation of fluid by solving the transport equations of mixture fraction and its variance based on the simulated macro-flow, and calculates the representative turbulence kinetic energy and dissipation in the reaction zone via the weighted average of mixture-fraction variance for the E-model.
The structure of the simulated wall flames is studied in terms of a classical mass-mixing variable, the fuel air based mixture fraction, and a less familiar heat loss variable, the excess enthalpy variable, introduced to provide a measure of nonadiabatic behavior due to wall cooling.
To address these issues, a mixture-fraction-based combustion model was used in the present work.
The subgrid-scale heat release is modeled using a mixture-fraction-based combustion model.
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