Abstract
The paper reports a computational effort directed towards the modelling of a turbulent, swirling and reacting propane-air flow in a laboratory combustor. The study focuses, in particular, on the performance of a Favre-averaged second-moment closure, applied in conjunction with an equilibrium-combustion model and the so-called β-probability density function. The above model is applied within the framework of a finite-volume scheme incorporating a quadratic approximation for convection. Some results are presented for non-reacting conditions, but the majority of comparisons relate to the reacting case. These comparisons demonstrate that, in contrast to previous experience with non-reacting flows, no decisive advantages are gained from second-moment modelling in the particular case examined, and this is attributed to the dominance of combustion-model defects.
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Abbreviations
- Ap:
-
Finite-volume coefficient related node at cell centre
- a, b:
-
Constants in β-p.d.f.
- C:
-
Density-weighted mean scalar
- Cc,CD,Ck :
-
Constants in second-moment
- Cε, Cε1 :
-
closure
- Cε2,Cε3, Cμ D:
-
Combustor diameter
- f:
-
Fuel mixture fraction
- Gij/Gi,c :
-
Additional stress/flux generation terms in density-weighted closure
- k:
-
Turbulence kinetic energy
- m:
-
Iteration level
- n:
-
Time level
- P:
-
Pressure
- P(f):
-
Probability density function
- Pij/Pi,c :
-
Stress/flux generation terms
- Rij/Ri,c :
-
Additive stress/flux contributions arising from axial symmetry and swirl
- r:
-
Radial coordinate
- Sij :
-
Source term in finite-volume equation
- U:
-
Axial velocity component
- Ũi :
-
Density-weighted mean velocity in tensor direction i
- ≈:
-
Density-weighted scalar-flux
- ui"uj":
-
Density-weighted Reynolds-stress
- V:
-
Radial velocity component
- Vol:
-
Volume of finite-volume cell
- W:
-
Swirl velocity component
- x:
-
Axial coordinate
- xi :
-
Coordinate in tensor direction i
- αc,αt :
-
Relaxation parameters
- δij :
-
Kronecker delta
- Δr :
-
Radial height of control-volume
- Δt :
-
Time step
- Δx:
-
Axial length of control-volume
- ɛ:
-
Turbulence energy dissipation rate
- ζ:
-
Constant in equations (7)
- μapp :
-
Pseudo-viscosity
- ϱ:
-
Density
- ϕ:
-
General flow variable
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© 1989 Springer-Verlag
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Hogg, S., Leschziner, M.A. (1989). Second-moment computation of strongly-swirling reacting flow in a model combustor. In: Dervieux, A., Larrouturou, B. (eds) Numerical Combustion. Lecture Notes in Physics, vol 351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51968-8_96
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DOI: https://doi.org/10.1007/3-540-51968-8_96
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