Abstract
A Reynolds stress transport equation model and the k — ε turbulence model have been applied to the calculation of the flow through an annular faired gas turbine diffuser. The results clearly show the superiority of the transport equation model which accurately reproduces the observed features of the flow. These include the influences of curvature associated with the inlet and outlet bends, the recovery from the adverse pressure gradient of the diffusing section and the asymmetric velocity profile in the settling length downstream of the diffuser. None of these is adequately represented by the k — ε model. In addition the velocity profiles predicted by the model are in broad agreement with those measured, whereas with the k — ε model large discrepancies arise.
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Abbreviations
- C p :
-
pressure recovery coefficient, = \(=\frac {p-p_I}{\frac {1}{2}\varrho U^2_I}\)
- k :
-
turbulence kinetic energy
- l :
-
length scale = k3/2/ε
- n i :
-
unit normal vector at solid surface
- p, p I :
-
static pressure, at diffuser inlet
- t :
-
time
- u i :
-
fluctuating component of velocity vector
- U i mean component of velocity vector U I mean velocity at the diffuser inlet x i :
-
position vector
- y i :
-
wall position vector
- y :
-
normal distance from wall = n i y i
- y + :
-
dimensionless normal distance\(=\varrho \sqrt {\frac{\tau_{W\varrho}}{\varrho}}y\)
- ε :
-
dissipation rate of turbulence energy
- δ ij :
-
Kronecker delta
- μ :
-
molecular viscosity
- τ w :
-
wall shear stress
References
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© 1989 Springer-Verlag Berlin Heidelberg
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Jones, W.P., Manners, A. (1989). The Calculation of the Flow through a Two-dimensional Faired Diffuser. In: André, JC., Cousteix, J., Durst, F., Launder, B.E., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73948-4_3
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DOI: https://doi.org/10.1007/978-3-642-73948-4_3
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