A transonic turbine stage is computed by means of an unsteady Navier–Stokes solver. A two-equation turbulence model is coupled to a transition model based on integral parameters and an extra transport equation. The transonic stage is modeled in two dimensions with a variable span height for the rotor row. The analysis of the transonic turbine stage with stator trailing edge coolant ejection is carried out to compute the unsteady pressure and heat transfer distribution on the rotor blade under variable operating conditions. The stator coolant ejection allows the total pressure losses to be reduced, although no significant effects on the rotor heat transfer are found both in the computer simulation and the measurements. The results compare favorably with experiments in terms of both pressure distribution and heat transfer around the rotor blade.
Issue Section:
Research Papers
Topics:
Heat transfer,
Rotors,
Stators,
Turbulence,
Pressure,
Blades,
Coolants,
Turbines,
Computer simulation,
Dimensions
1.
Abu-Ghannam
B. J.
Shaw
R.
1980
, “Natural Transition of Boundary Layers—The Effects of Turbulence, Pressure Gradient, and Flow History
,” Journal of Mechanical Engineering Science
, Vol. 22
, No. 5
, pp. 213
–228
.2.
Addison
J. S.
Hodson
H. P.
1992
, “Modeling of Unsteady Transitional Boundary Layers
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 114
, pp. 580
–589
.3.
Cho
N.-H.
Liu
X.
Rodi
W.
Sho¨nung
B.
1993
, “Calculation of Wake–Induced Unsteady Flow in a Turbine Cascade
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 115
, pp. 675
–686
.4.
Durbin
P. A.
1996
, “On the k–ε Stagnation Point Anomaly
,” Int. J. Heat and Fluid Flow
, Vol. 17
, pp. 89
–90
.5.
Giles, M. B., 1988, “Stator-Rotor Interaction in a Transonic Turbine,” Paper No. AIAA-88-3093.
6.
Hazarika
B. K.
Hirsch
C.
1995
, “Transition Over C4 Leading Edge and Measurements of Intermittency Factor Using pdf of Hot-Wire Signal
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 119
, pp. 412
–425
.7.
Ho, Y.-H., and Lakshminarayana, B., 1996, “Computation of Three-Dimensional Steady and Unsteady Flow Through a Compressor Stage,” ASME Paper No. 96-GT-70.
8.
Hoogendoorn, C. J., de Lange, H. C., van Steenhoven, A. A., and van Dongen, M. E. H., 1997, “Influence of Turbulence Intensity of Intermittency Model in By-Pass Transition,” ASME Paper No. 97-GT-473.
9.
Jameson, A., 1991, “Time Dependent Calculations Using a Multigrid With Applications to Unsteady Flows Past Airfoils and Wings,” AIAA Paper No. 91-1596.
10.
Johnson, M. W., and Ercan, A. H., 1997, “Predicting Bypass Transition: A Physical Model Versus Empirical Correlations,” ASME Paper No. 97-GT-475.
11.
Kato, M., and Launder, B. E., 1993, “The Modelling of Turbulent Flow Around Stationary and Vibrating Square Cylinders,” Proc. Ninth Symposium of “Turbulent Shear Flows,” Kyoto, Japan, Aug. 16–18.
12.
Mayle
R. E.
1991
, “The Role of Laminar–Turbulent Transition in Gas Turbine Engines
,” ASME JOURNAL OF TURBOMACHINERY
, Vol. 113
, pp. 509
–537
.13.
Michelassi, V., 1997, “Shock-Boundary Layer Interaction and Transition Modelling in Turbomachinery Flows,” Proc. 2nd European Conference on Turbomachinery-Fluid Dynamics and Thermodynamics, Antwerpen, Belgium, Mar. 5–7.
14.
Michelassi, V., Rodi, W., and Giess, P.-A., 1997, “Experimental and Numerical Investigation of Boundary-Layer and Wake Development in a Transonic Turbine Cascade,” ASME Paper No. 97-GT-483.
15.
Michelassi, V., Martelli, F., and Amecke, J., 1994, “Performance of a Transonic Turbine Guide Vane With Trailing Edge Coolant Ejection—Part II: Numerical Approach,” ASME Paper No. 94-GT-248.
16.
Michelassi, V., Adami, P., and Martelli, F., 1996a, “An Implicit Algorithm for Stator-Rotor Interaction Analysis,” ASME Paper No. 96-GT-68.
17.
Migliorini, F., and Michelassi, V., 1997, “Transition and Heat Transfer Modelling in Transonic Linear Cascades,” Proc. 2nd European Conference on Turbomachinery-Fluid Dynamics and Thermodynamics, Antwerpen, Belgium, Mar. 5–7, 1997.
18.
Moss, R. W., Ainsworth, R. W., Sheldrake, C. D., and Miller, R., 1997, “The Unsteady Pressure Field Over a Turbine Blade Surface: Visualization and Interpretation of Experimental Data,” ASME Paper No. 97-GT-474.
19.
Pulliam, T. H., and Chaussee, D. S., 1981, “A Diagonal Form of an Implicit Approximate-Factorization Algorithm,” Journal of Computational Physics, No. 39.
20.
Rao, K., and Delaney, R. A., 1990, “Investigation of Unsteady Flow Through a Transonic Turbine Stage, Part I, Analysis,” AIAA Paper No. 90-2408.
21.
Rao, K., Delaney, R. A., and Dunn, M., 1992, “Vane-Blade Interaction in a Transonic Turbine, Part II—Heat Transfer,” AIAA Paper No. 92-3324.
22.
Sieverding, C. H., De´nos, R., Arts, T., Brouckaert, J. F., and Paniagua, G., 1998, “Experimental Investigation of the Unsteady Rotor Aerodynamics and Heat Transfer of a Transonic Turbine Stage,” VKI Lecture Series on & ldquo;Blade Row Interference Effects in Axial Turbomachinery Stages,” Feb.
23.
Tanuma, T., Shibukawa, N., and Yamamoto, S., 1997, “Navier–Stokes Analysis of Unsteady Transonic Flows Through Gas Turbine Cascades With and Without Coolant Ejection,” ASME Paper No. 97-GT-479.
24.
Wilcox
D. C.
1988
, “Reassessment of the Scale-Determining Equation for Advanced Turbulence Models
,” AIAA Journal
, Vol. 26
, No. 11
, pp. 1299
–1310
.
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.
