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Different models for the scalar dissipation rate dependence on the mixture fraction variable are analyzed.
The PDFA model describes the turbulent reacting flow using a mixture fraction variable and a generalized reaction progress variable.
The aim of this work is to analyze the application of flamelet models based on the mixture fraction variable and its dissipation rate to the numerical simulation of partially premixed flames.
The modification to incorporate multiphase conditions is achieved by substituting the mixture fraction variable as representation of the composition in the original implementation of the turbulent flame speed closure model with independent species.
The mixture fraction variable is also central to steady laminar flamelet representations, which provide a common building block to a variety of modelling proposals for turbulent combustion in nonpremixed and partially premixed situations.
The modelling analysis relies on a Lagrangian framework, the salient features of which consist in approximating the Lagrangian path in a reduced composition space made up of the mixture fraction variable, i.e. a conserved scalar introduced to represent the variations of composition, and a progress variable, i.e. a reactive scalar to follow the departures from chemical equilibrium.
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In addition, due to the removal of PAH from the gas-phase, alternative definitions of the mixture fraction, progress variable, and enthalpy are proposed.
The partially premixed implementation involves double conditioning on two variables, mixture fraction and progress variable.
These are the mixture fraction, an enthalpy variable and two reaction progress variables for combustion of hydrogen and carbon monoxide.
When pressure is increased from 3 to 5 bar, these particles move through a different mixture fraction-progress variable phase space.
Two-dimensional manifolds are used to describe the chemistry by the mixture fraction and progress variable.
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