A three-dimensional steady viscous finite volume pressure correction method for the solution of the Reynolds-averaged Navier–Stokes equations has been used to calculate the heat transfer rates on the end walls of a modern High Pressure Turbine first-stage stator. Surface heat transfer rates have been calculated at three conditions and compared with measurements made on a model of the vane tested in annular cascade in the Isentropic Light Piston Facility at DERA, Pyestock. The NGV Mach numbers, Reynolds numbers, and geometry are fully representative of engine conditions. Design condition data have previously been presented by Harvey and Jones (1990). Off-design data are presented here for the first time. In the areas of highest heat transfer, the calculated heat transfer rates are shown to be within 20 percent of the measured values at all three conditions. Particular emphasis is placed on the use of wall functions in the calculations with which relatively coarse grids (of around 140,000 nodes) can be used to keep computational run times sufficiently low for engine design purposes.

Issue Section:
Research Papers
Topics:
Heat transfer, Nozzle guide vanes, Design, Cascades (Fluid dynamics), Engine design, Engines, Geometry, High pressure (Physics), Mach number, Pistons, Pressure, Reynolds number, Reynolds-averaged Navier–Stokes equations, Stators, Turbines
1.
Ameri, A. A., and Steinthorsson, E., 1996, “Analysis of gas turbine rotor blade tip and shroud heat transfer,” ASME Paper No. 96-GT-189.
2.
Brooks, A. J., Colbourne, D. E., Wedlake, E. T., Jones, T. V., Oldfield, M. L. G., Schultz, D. L., and Loftus, P. J., 1985, “The isentropic light piston annular cascade facility at RAE Pyestock,” AGARD CP 390, Paper 31.
3.
Chana, K. S., 1992, “Heat transfer and aerodynamics of high rim speed turbine nozzle guide vane with profiled end-walls,” ASME Paper No. 92-GT-243.
4.
Chew, J. W., Taylor, I. J., and Bonsell, J. J., 1996, “CFD developments for turbine blade heat transfer,” 3rd Int. Conf. Computers in Reciprocating Engines and Gas turbines, I. Mech. E. Paper No. C499-035.
5.
Craft
T. J.
,
Launder
B. E.
, and
Suga
K.
,
1995
, “
Development and Application of a Cubic Eddy-Viscosity Model of Turbulence
,”
Int. J. Heat and Fluid Flow
, Vol.
17
, pp.
108
–
115
.
6.
Hah, C., 1989, “Numerical study of three-dimensional flow and heat transfer near the endwall of a turbine blade row,” Paper No. AIAA-89-1689.
7.
Harvey, N. W., Wang, Z., Ireland, P. T., and Jones, T. V., 1989, “Detailed heat transfer measurements in linear and annular cascades in the presence of secondary flows,” AGARD PEP 74B, Paper No. 24.
8.
Harvey, N. W., and Jones, T. V., 1990, “Measurement and calculation of end wall heat transfer and aerodynamics on a nozzle guide vane in annular cascade,” ASME Paper No. 90-GT-301.
9.
Harvey, N. W., 1991, “Heat transfer on nozzle guide vane end walls,” University of Oxford, DPhil Thesis.
10.
Jones, T. V., Schultz, D. L., and Hendley, A., 1973, “On the Flow in an Isentropic Light Piston Tunnel,” ARC R&M 3731.
11.
Kato, M., and Launder, B. E., 1993, “The Modelling of Turbulent Flow Around Stationary and Vibrating Square Cylinders,” Proc. 9th Symp. Turbulent Shear Flows, 10-4.
12.
Oldfield, M. L. G., Jones, T. V., and Schultz, D. L., 1978, “On-line computer for transient turbine cascade instrumentation,” IEEE Trans. AES, 14:738.
13.
Moore, H., and Gregory-Smith, D. G., 1996, “Transition Effects on Secondary Flows in a Turbine Cascade,” ASME Paper No. 96-GT-100.
14.
Moore, J. G., 1985, “Calculation of 3D Flow without Numerical Mixing,” AGARD-LS-140 on 3D Computation Techniques Applied to Internal Flows in Propulsion Systems, pp. 8.1–8.15.
15.
Oldfield, M. L. G., Burd, H. J., and Doe, N. G., 1982, “Design of wide bandwidth analogue circuits for heat transfer instrumentation in transient tunnels,” 16th Symposium of ICHMT, Hemisphere pub., Dubrovnik, I.
16.
Robinson, C. J., Northall, J. D., and McFarlane, C. W. R., 1989, “Measurement and Calculation of the Three-Dimensional Flow in Axial Compressor Stators, With and Without End Bends,” ASME Paper No. 89-GT-6.
17.
Rotta, J. C., 1979, “A Family of Turbulence Models for Three-Dimensional Boundary Layers,” Turbulent Shear Flows 1, pp. 267–278, Springer-Verlag.
18.
Schultz, D. L., Jones, T. V., Oldfield, M. L. G., and Daniels, L. C., 1977, “A new transient cascade facility for the measurement of heat transfer rate,” AGARD CP 229.
19.
Sieverding
C. H.
,
1985
, “
Secondary flows in straight and annular turbine cascades. Ucer, Stow and Hirsch
,”
Thermodynamics & Fluids of Turbomachinery, NATO
, Vol.
II
, pp.
621
–
624
.
20.
Spalding, D. B., and Patankar, S. V., 1967, Heat and Mass Transfer in Boundary Layers, Morgan-Grampian.
21.
Spencer, M. C., Jones, T. V., and Lock, G. D., 1996, “Endwall heat transfer measurements in an annular cascade of nozzle guide vanes at engine representative Reynolds and mach numbers,” Int. J. Heat and Fluid Flow 17, pp. 139–147.
22.
Takeishi
K.
,
Matsuura
M.
,
Aoki
S.
, and
Sato
T.
,
1990
, “
An experimental study of heat transfer and film cooling on low aspect ratio turbine nozzles
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
112
, pp.
488
–
496
.
23.
White, F. M., 1991, Viscous Fluid Flow, McGraw-Hill, New York.
This content is only available via PDF.
Copyright © 1999
 by The American Society of Mechanical Engineers
You do not currently have access to this content.