Laminar separation bubbles are commonly observed on turbomachinery blades and therefore require effective methods for their prediction. Therefore, a newly developed transition model by Gostelow et al. (1996) is incorporated into an upwind-biased Navier–Stokes code to simulate laminar—turbulent transition in the boundary layer. A study of the influence of the two adjustable parameters of the model, the transition onset location and the spot generation rate, is conducted and it is found that it can predict laminar separation bubbles, measured on a NACA 0012 airfoil. Additional results are presented for separation bubbles in an annular compressor cascade.

1.
Baldwin, B. S., and Barth, T. J., 1990, “A One-Equation Turbulence Transport Model for High Reynolds Number Wall-Bounded Flows,” NASA TM 102847.
2.
Baldwin, B. S., and Lomax, H., 1978, “Thin-Layer Approximation and Algebraic Model for Separated Turbulent Flows,” AIAA Paper No. 78-257.
3.
Benetschik, H., Lohmann, A., Lu¨cke, J. R., and Gallus, H. E., 1995, “Entwicklung eines Verfahrens zur Berechnung der reibungsbehafteten Stro¨mung im Verdichtereinzelgitter,” AG Turbo Forschungsvorhaben 1.1.2.6., Final Report, RWTH Aachen, Germany.
4.
Cebeci, T., and Bradshaw, P., 1977, Momentum Transfer in Boundary Layers, Hemisphere Publishing Corporation, Washington, p. 153.
5.
Chandrasekhara, M. S., Carr, L. W., and Ekaterinaris, J. A., 1992, “Interferometric and Computational Studies of an Oscillating Airfoil Compressible Dynamic Stall Flow Field,” Proc. 5th Asian Conference of Fluid Dynamics, Vol. 2, pp. 1047–1050.
6.
Chen, K. K., and Thyson, N. A., 1971, “Extension of Emmon’s Spot Theory to Flows on Blunt Bodies,” AIAA Journal, Vol. 9, No. 5.
7.
Ekaterinaris
J. A.
, and
Platzer
M. F.
,
1996
, “
Numerical Investigation of Stall Flutter
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
118
, pp.
197
203
.
8.
Ekaterinaris, J. A., Chandrasekhara, M. S., and Platzer, M. F., 1995, “Analysis of Low Reynolds Number Airfoil Flows,” Journal of Aircraft, Vol. 32, No. 3.
9.
Gostelow
J. P.
,
Melwani
N.
, and
Walker
G. J.
,
1996
, “
Effects of a Streamwise Pressure Gradient on Turbulent Spot Development
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
118
, pp.
737
743
.
10.
Halstead
D. E.
,
Wisler
D. C.
,
Okiishi
T. H.
,
Walker
G. J.
,
Hodson
H. P.
, and
Shin
H. -W.
,
1997
, “
Boundary Layer Development in Axial Compressors and Turbines, Parts 1–4
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
119
, pp.
114
127
.
11.
Herbert, T., and Bertolotti, F. P., 1987, “Stability Analysis of Nonparallel Boundary Layers,” Bulletin of the American Physical Society, Vol. 32.
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.
Narasimha
R.
,
1985
, “
The Laminar—Turbulent Transition Zone in the Boundary Layer
,”
Progress in Aerospace Science
, Vol.
22
, pp.
29
80
.
14.
Osher
S.
, and
Solomon
F.
,
1982
, “
Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
,”
Mathematics of Computation
, Vol.
38
, No.
158
, pp.
339
374
.
15.
Roberts
W. B.
,
1980
, “
Calculation of Laminar Separation Bubbles and Their Effects on Airfoil Performance
,”
AIAA Journal
, Vol.
18
, pp.
25
31
.
16.
Schulz, H. G., 1989, “Experimentelle Untersuchung der dreidimensionalen abgelo¨sten Stro¨mung in einem Axialverdichterring gitter,” Dissertation, RWTH Aachen, Germany.
17.
Schulz
H. D.
, and
Gallus
H. E.
,
1988
, “
Experimental Investigation of the Three-Dimensional Flow in an Annular Compressor Cascade
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
110
, p.
467
467
.
18.
Solomon
W. J.
,
Walker
G. J.
, and
Gostelow
J. P.
,
1996
, “
Transition Length Prediction for Flows With Rapidly Changing Pressure Gradients
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
118
, pp.
744
751
.
19.
Steger
J. L.
, and
Warming
R. F.
,
1981
, “
Flux Vector-Splitting of the Inviscid Gas Dynamic Equations With Applications to Finite-Difference Methods
,”
Journal of Computational Physics
, Vol.
40
, pp.
263
293
.
20.
Van Dyken, R. D., Ekaterinaris, J. A., Chandrasekhara, M. S., and Platzer, M. F., 1994, “Analysis of Compressible steady and Oscillatory Airfoil Flows at Transitional Reynolds Number,” AIAA Paper No. AIAA-94-2255.
21.
Walker, G. J., Subroto, P. H., and Platzer, M. F., 1988, “Transition Modeling Effects on Viscous/Inviscid Interaction Analysis of Low Reynolds Number Airfoil Flows Involving Laminar Separation Bubbles,” ASME Paper No. 88-GT-32.
22.
Walker
G. J.
,
1993
, “
The Role of Laminar-Turbulent Transition in Gas Turbine Engines: A Discussion
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
115
, p.
207
217
.
23.
Walraevens
R. E.
, and
Cumpsty
N. A.
,
1995
, “
Leading Edge Separation Bubbles on Turbomachine Blades
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
117
, pp.
115
125
.
This content is only available via PDF.
You do not currently have access to this content.