A full Navier-Stokes solver is used to calculate external heat transfer in two linear two-dimensional turbine cascades, one subsonic and one transonic. Heat transfer results obtained with two low-Reynolds k-∊ models (Chien and Launder-Sharma) and two k-ω models (Wilcox standard and transition) are compared with measurements. Good agreement is found in some regions, but the suction side transition and the leading edge are not predicted correctly. Problems with turbulence levels that are too high in the leading edge region are investigated. The numerical quality of the results is investigated and a few general guidelines about the numerics are given. Grid and scheme independence is also demonstrated.
DullenkopfK.MayleR. E.The effect of an incident turbulence and moving wakes on laminar heat transfer in gas turbinesTrans. ASME. J. Turbomachinery, 1994, 116(1), 23–28.
2.
TholeK. A.BogardD. G.Enhanced heat transfer due to high free-stream turbulenceTrans. ASME, J. Turbo-machinery, 1995, 117, 418–424.
3.
MaciejewskiP. K.MoffatR. J.Heat transfer with very high free-stream turbulence: Parts i and iiTrans. ASME, J. Heat Transfer, 1992, 114, 827–839.
4.
AshworthD. A.LaGraffJ. E.SchultzD. L.GrindrodK. J.Unsteady aerodynamic and heat transfer processes in a transonic turbine stageTrans. ASME, J. Engng for Gas Turbines and Power, 1985, 107, 1022–1030.
5.
DoorlyD. J.OldfieldM. L. G.Simulation of the effect of shock wave passing on a turbine rotor bladeTrans. ASME, J. Engng for Gas Turbines and Power, 1985, 107, 998–1006.
6.
DullenkopfK.SchultzA.WittigS.The effect of incident wake conditions on the mean heat transfer of an airfoilTrans. ASME, J. Turbomachinery, 1991, 113,412–418.
7.
MagariP. J.LaGraffL. E.Wake-induced unsteady stagnation-region heat transfer measurementsTrans. ASME, J. Turbomachinery, 1994, 116(1), 29–38.
8.
RaoK. V.DelaneyR. A.DunnM. G.Vane-blade interaction in a transonic turbineJ. Propulsion and Power, 1994, 10(3), 305–317.
9.
BlairM. F.An experimental study of heat transfer in a largescale turbine rotor passageTrans. ASME, J. Turbomachinery, 1994, 116(1), 1–13.
10.
NicholsonJ. H.ForestA. E.OldfieldM. L. G.SchultzD. L.Heat transfer optimised turbine rotor blades-an experimental study using transient techniques. ASME paper 82-GT-304, 1982.
11.
ArtsT.de RouvriotLambert M.RutherfordA. W.Aero-thermal investigation of a highly loaded transonic liner turbine guide vane cascade. Technical report 174, von Karman Institute for Fluid Dynamics, 1990.
12.
HyltonL. D.MihelcM. S.TurnerE. R.NealyD. A.YorkR. E.Analytical and experimental evaluation of the heat transfer distribution over the surfaces of turbine vanes. NASA CR-168015, 1983.
13.
YehF. C.HippensteeleS. A.Van FossenJ. G.PoinsatteP. E.High Reynolds number turbulence effects on turbine heat transferJ. Propulsion and Power, 1994, 10(6), 868–875.
14.
BoyleR. J.Navier-Stokes analysis of turbine blade heat transferTrans. ASME, J. Turbomachinery, 1991, 113(3), 392–403.
15.
AmeriA. A.SockolP. M.GorlaR. S. R.Navier-Stokes analysis of turbomachinery blade external heat transferJ. Propulsion and Power, 1992, 8(2), 374–381.
16.
DanielsL. D.BrowneW. B.Calculation of heat transfer rates to gas turbine bladesInt. J. Heat and Mass Transfer, 1981, 24(5), 871–879.
17.
FavreA.Equations des gaz turbulents compressiblesJ. de Mecanique, 1965, 4(3), 361–390.
18.
WilcoxD. C.Turbulence Modeling for CFD, 1993 (DCW Industries, Inc., La Cañada, California).
19.
VandrommeD.Turbulence modeling for compressible flows and implementation in Navier-Stokes solvers. In Introduction to the Modeling of Turbulence, van Karman Institute for Fluid Dynamics, Lecture Series 1991–02, 1991.
20.
LarssonJ.Numerical simulation of turbine blade heat transfer. Licentiate thesis, Department of Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg, Sweden (also available on the Internet, 1996.
21.
ChienK.-Y.Predictions of channel and boundary-layer flows with a low-Reynolds number turbulence modelAm. Inst. Aeronaut. Astronaut. J., 1982, 20(1), 33–38.
22.
LaunderB. E.SharmaB. I.Application of the energy-dissipation model of turbulence to the calculation of flow near a spinning discLett. in Heat and Mass Transfer, 1974, 1(2), 131–138.
23.
WilcoxD. C.Reassessment of the scale determining equation for advanced turbulence modelsAm. Inst. Aeronaut. Astronaut. J., 1988, 26(11), 1299–1310.
24.
WilcoxD. C.Simulation of transition with a two-equation turbulence modelAm. Inst. Aeronaut. Astronaut. J., 1994, 32(2), 247–255.
25.
PatelV. C.RodiW.ScheuererG.Turbulence models for near-wall and low Reynolds number flows: A reviewAm. Inst. Aeronaut. Astronaut. J., 1985, 23(9), 1308–1319.
26.
LarssonJ.ErikssonL.-E.HÅallU.External heat transfer predictions in supersonic turbines using the Reynolds averaged Navier-Stokes equations. In Proceedings of Twelfth ISABE Conference, Melbourne, September 1995, Vol. 2, pp. 1102–1112 (copies distributed by AIAA).
27.
KatoM.LaunderB. E.The modeling of turbulent flow around stationary and vibrating square cylinders. In Proceedings of Ninth Symposium on Turbulent Shear Flows, Kyoto, August 1993, pp. 10.4.1–10.4.6.
28.
YapC. J.Turbulent heat and momentum transfer in recirculating and impinging flows. PhD thesis, Faculty of Technology, University of Manchester, 1987.
29.
CraftT. J.LaunderB. E.SugaK.The prediction of turbulent transitional phenomena with a non-linear eddy viscosity model. In Proceedings of the Engineering Foundation International Conference on Turbulent Heat Transfer, San Diego, March 1996.
30.
ChimaR. V.A k-? turbulence model for quasi-three-dimensional turbomachinery flows. AIAA paper 96–0248 and NASA TM-107051, 1996.
