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**Non-premixed turbulent combustion (Flamelet Progress Variable Approach (FPVA))**

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**Flamelet-based combustion model for compressible flows**

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**Source term is highly non-linear**

The source term: with

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**Model algorithm All other quantities Transported variables Temperature**

EOS Mixing rules NSE Temperature Turbulence Newton iteration Not looked up from table Tabulated chemistry Combustion Table lookup Pre-computed chemistry Chemistry does not account for compressibility effects and viscous heating

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**Flamelet models for non-premixed combustion**

The basic assumption is that the chemical time-scales are short enough so that reactions occur in a thin layer around stoichiometric mixture on a scale smaller than the small scales of the turbulence. Physically, the flame structure is locally one-dimensional and depends only on time and on the coordinate normal to the flame front (or on z). This has two consequences: the structure of the reaction zone remains laminar, and diffusive transport occurs essentially in the direction normal to the surface of stoichiometric mixture. Then, the scalar transport equations can be transformed to a system where the mixture fraction is an independent coordinate. A subsequent asymptotic approximation leads to the flamelet equations. The species mass fractions are related to the mixture fraction Z by the solution of the steady flamelet equations, parameterized by the scalar dissipation rate.

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**Compute flamelet equations and create chemistry table from the solutions**

Step 1: Inputs : batesgn.therm (thermodata) batesgn.trans (transportdata) batesgn.mech (reactions) 1) CreateBinFile batesgn.therm batesgn.trans thermo.bin 2) ScanMan batesgn.mech batesgn.pre 3) FlameMaster batesgn.pre .in (input file with start profile) Flamelet solution Step 2: Goal : Create chemistry table Introducing the assumption of a beta-function sub-filter distribution of the mixture fraction leads to CreateChemTable Mum/bin/CreateChemTable Input : CreateChemTable.in thermo.bin Flameletlist.txt Output : table (binary file)

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**Jet in crossflow for combustion**

9 species 28 reactions : N2 H O2 O OH H2 H2O HO2 H2O2 Global reaction : H2 + ½ ( N2) H20 + ½(3.76N2) fuel + air

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MAE 5310: COMBUSTION FUNDAMENTALS

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