A transonic axial turbine stage is computed by solving the time-averaged Navier-Stokes equations in the turbulent flow regime. The stator and rotor rows are interfaced using a mixing plane. The sensitivity of the stator-rotor coupling to the boundary conditions and mixing strategies is investigated. The mass or area tangential averaging is found to have slight impact on the stator-rotor match. The relative and absolute formulation of the rotor inlet boundary condition is found to alter the match of the two rows. The computations indicate that both relative and absolute boundary conditions should be used to estimate and control part of the uncertainty in the stator-rotor match, which can be greatly reduced by an iterative procedure, based on the stator exit pressure. The area averaging allows a unique matching point to be estimated for both absolute and relative properties.
EmundsR.JennionsI. K.BohnD.GierJ.The computation of adjacent blade-row effects in a 1.5-stage axial flow turbine. Trans. ASME, J. Turbomachinery, 1999, 121, 1–10.
2.
HalsteadD. E.WislerD. C.OkiishiT. H.WalkerG. J.HodsonH. P.ShinH. W.Boundary layer development in axial compressors and turbines, part 3 of 4: LP turbines. Trans. ASME, J. Turbomachinery, 1997, 119, 225–237.
3.
HarveyN. W.CoxJ. CSchulteV.HowellR.HodsonH. P.The role of research in the aerodynamic design of advanced low-pressure turbine. In Transactions of the 3rd European Conference on Turbomachinery, 1999, pp. 123–132.
4.
GarsideT.MossR. W.AinsworthR. W.DancerS. N.RoseM. G.Heat transfer to rotating turbine blades in a flow undisturbed by wakes. ASME paper 94-GT-94, 1994.
5.
DénosR.SieverdingC. H.ArtsT.BrouckaertJ. F.PaniaguaG.MichelassiV.Experimental investigation of the unsteady rotor aerodynamics of a transonic turbine stage. Proc. Instn Mech. Engrs, Part A, Journal of Power and Energy, 1999, 213(A4), 327–338.
6.
JungA. R.MayerJ. F.StetterH.Simulation of 3D-unsteady stator-rotor interaction in turbomachinery stages of arbitrary pitch ratio. ASME paper 96-GT-69, 1996.
7.
HilditchM. A.SmithG. C.SinghU. K.Unsteady flow in a single turbine stage. ASME paper 98-GT-531, 1998.
8.
GilesM. B.UNSFLO: a numerical method for the calculation of unsteady flow in turbomachinery. GTL Report 205, MIT Gas Turbine Laboratory, 1991.
9.
DeRangoS.ZingD. W.Improvements to a dual-time stepping method for computing unsteady flows. Am. Inst. Aeronaut. Astronaut. J., 1997, 35, 1548–1550.
10.
RhieC. M.GleixnerA. J.SpearD. A.FishbergC. J.ZachariasR. M.Development and application of a multistage Navier-Stokes solver: Part I-multistage modeling using bodyforces and deterministic stresses. Trans. ASME, J. Turbomachinery, 1998, 120, 205–214.
11.
DoorlyD. J.OldfieldM. L. G.Simulation of the effect of shock wave passing on a turbine rotor blade. J. Engng Gas Turbines Pwr, 1985, 107, 998–1006.
12.
GilesM. B.Stator/rotor interaction in a transonic turbine. AIAA paper 88-3093, 1988.
13.
HilditchM. A.SmithG. C.andersonJ. S.ChanaK. S.Unsteady measurements in an axial flow turbine. In 85th Propulsion and Energetic Panel Symposium on Loss Mechanism and Unsteady Flows in Turbomachines, Derby, 1995, AGARD CP 571, 1996.
14.
MichelassiV.MartelliF.DénosR.ArtsT.SieverdingC. H.Unsteady heat transfer in stator-rotor interaction by two equation turbulence model. Trans. ASME, J. Turbomachinery, July 1999, 121, 436–447.
15.
DentonJ. D.SinghU. K.Time marching methods for turbomachinery flow calculation. In Von Karman Institute for Fluid Dynamics Lecture Series 1979-7 on Application of Numerical Methods to Flow Calculations in Turbomachines, 1979.
16.
DringR. P.SpearD. A.The effects of wake mixing on compressor aerodynamics. Trans. ASME, J. Turbomachinery, 1991, 113, 600–607.
17.
KreitmeierF.A new time-averaging procedure for compressible, unsteady turbulent flows. ASME paper 87-GT-83, 1987.
18.
AdamczykJ. J.Model equation for simulating flows in multistage turbomachinery. ASME paper 85-GT-226, 1985.
19.
OrkwisP. A.TurnerM. G.BarterJ. W.Deterministic stress source terms for turbine hot streak applications derived from linear unsteady solutions. In Proceedings of XIV ISABE Conference, Florence, Italy, 5-10 September 1999.
20.
GiangiacomoP.MichelassiV.MartelliF.Analysis of the mixing plane interface between stator and rotor of a transonic axial turbine stage. ASME paper 2000-GT-634, 2000.
21.
MichelassiV.GiangiacomoP.MartelliF.Computer simulation of a three-dimensional transonic turbine stage. In Proceedings XIV ISABE Conference, Florence, Italy, 5-10 September 1999.
22.
WilcoxD. C.Reassessment of the scale-determining equation for advanced turbulence models. Am. Inst. Aeronaut. Astronaut. J., 1988, 26, 1299–1310.
23.
DurbinP. A.On the ?-? stagnation point anomaly. Int. J. Heat Fluid Flow, 1996, 17, 89–90.
24.
PulliamT. H.ChausseeD. S.A diagonal form of an implicit approximate-factorization algorithm. J. Comput. Phys., 1981, 39.
25.
ArtsT.Three dimensional rotational inviscid flow calculation in axial turbine blade rows. TN 154, von Karman Institute for Fluid Dynamics, September 1985.
26.
SieverdingC. H.ArtsT.DénosR.AmeckeJ.KapteijnC.MartelliF.MichelassiV.ColantuoniS.SantorielloG.SchröderT.BernardJ.LapidusY.Investigation of the wake mixing process behind transonic turbine inlet guide vanes with trailing edge coolant flow ejection. Technical Report BRITE/EURAM area 5 Aeronautics, AERO 90-0001 PL1046, 1.1.90-31.6.1992; and in Advances in Engine Technology (Ed. DunkerR.), 1993 (John Wiley, New York).
27.
SieverdingC. H.DénosR.ArtsT.BrouckaertJ. F.PaniaguaG.Experimental investigation of the unsteady rotor aerodynamics and heat transfer of a transonic turbine stage. In VKI Lecture Series on Blade Row Interference Effects in Axial Turbomachinery Stages, 1998.
28.
KapteijnC.AmeckeJ.MichelassiV.Aerodynamic performance of a transonic turbine guide vane with trailing edge coolant ejection. Part I-experimental approach. Trans. ASME, J. Turbomachinery, 1996, 118, 519–528.
29.
DénosR.ArtsT.PaniaguaG.MichelassiV.MartelliF.Investigation of the unsteady rotor aerodynamics in a transonic turbine stage. Trans. ASME, J. Turbomachinery, January 2001, 123(1), 81–89.
