Numerical Simulation of the Dynamics of Turbulent Swirling Flames

Appendices
Figure A.1: Evaluation of Rayleigh Criterion with different absolute phase between
pressure and heat fluctuations.
than the energy losses by the damping mechanisms. Further details about the
Rayleigh Criterion and energy balances can be found in [38, 156, 223].
A.2 Laminar Flame Reaction Kinetics
For laminar flames, the transport equations for conservation of species and
energy are defined by:
• Species mass fraction
∂ρY k
∂t
+ ∂ρu j Y k
∂x j
= ∂J j,k
∂x j
+ ˙ω k , (A.2)
• Conservation of energy
∂ρE
∂t
+ ∂ρu j E
∂x j
= − ∂[u i (pδ i j − τ i j ) + q j ]
∂x j
+ ˙ω T . (A.3)
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