Abstract
This paper presents a numerical method for the computation of turbulent reactive flows. In our case, the combustion is not stabilized by usual flame-holders behind which a recirculation takes place but by a swirler ring which gives a tangential velocity to the flow. Despite the existence of three velocity components, the flow is considered axisymmetric since it depends only on two space variables. In a first part, some points concerning the spatial discretization, the time integration and the ignition process are discussed. In a second part, some numerical results are displayed. The influence of some inlet parameters (stagnation pressure, tangential velocity) is investigated.
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Abbreviations
- C p :
-
specific heat
- h:
-
stagnation enthalpy
- K:
-
kinetic energy
- k:
-
turbulent kinetic energy
- p:
-
pressure
- q r :
-
radial momentum ( = ρu)
- qz :
-
axial momentum ( = ρw)
- r:
-
radial coordinate
- Ro :
-
constant of the state equation
- S f :
-
source term in the balance equation of the scalar f
- t:
-
time
- T:
-
temperature
- u:
-
radial velocity (along Or)
- v:
-
tangential velocity
- w:
-
axial velocity (along Oz)
- z:
-
axial coordinate
- Δr:
-
mesh size in the r direction
- Δz:
-
mesh size in the z direction
- ε:
-
dissipation rate of the turbulent kinetic energy
- μ t :
-
turbulent viscosity
- ρ:
-
density
- (.)̅:
-
usual turbulent average
- (.)̃:
-
Favre average
- (.)′:
-
divergence to the usual average
- (.)″:
-
divergence to the Favre average
References
Dutoya, D.: “Simulation of flow and heat transfer in annular cavities between disks in turbomachinery”. AGARD-CP-390, p. 35–1.
Launder, B.E.: “Turbulence”, Ed. P. Bradshaw. Topics in Applied Physics, Springer-Verlag, 1976.
Launder, B.E., Spalding, D.B.: “The numerical computation of turbulent flows”. Computer Methods in Applied Mechanics and Engineering, vol. 3, nr. 2, p. 269, 1974.
Dupoirieux, F.: “Numerical calculations of turbulent reactive flows and comparison with experimental results”, Workshop on the gas flame structure, Novosibirsk, 1986.
Beam, R.M., Warming, R.F.: “An implicit factored scheme for the compressible Navier-Stokes equations”, AIAA Journal, vol. 16, April 1978, p. 398–402.
Dutoya, D., Michard, P.J.: “An implicit type finite volume method for elliptical flow computation”, La Recherche Aérospatiale, nr. 1980–2, p. 123–129.
Dupoirieux, F.: “Méthodes numériques à convergence rapide utilisées pour le calcul des écoulements réactifs”. Numerical Simulation of Combustion Phenomena, Sophia-Antipolis, 1985, Proceedings in Lecture Notes in Physics, nr. 241.
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© 1988 Kluwer Academic Publishers
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Dupoirieux, F., Dutoya, D. (1988). Numerical Model for Turbulent Reactive Flows with Swirl. In: Brauner, CM., Schmidt-Lainé, C. (eds) Mathematical Modeling in Combustion and Related Topics. NATO ASI Series, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2770-4_32
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DOI: https://doi.org/10.1007/978-94-009-2770-4_32
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7745-3
Online ISBN: 978-94-009-2770-4
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