In the 1950s, NACA conducted a series of low-speed cascade experiments investigating the performance of NACA 65-series compressor cascades with tests covering multiple airfoils of varying camber and with variations in solidity and air inlet angle. Most of the configurations show transition via laminar separation—both on suction and pressure side—characterized by a relatively flat region in pressure distribution, while turbulent reattachment is characterized by a rapid pressure recovery just downstream of the separated region. In the current study, wall-resolved large-eddy simulation (LES) has been used to predict transition via laminar separation in such compressor configurations as well as the resulting airfoil losses. Six different cascades with local diffusion factor varying from 0.14 to 0.56 (NACA 65-010, 65-410, 65-(12)10, 65-(15)10, 65-(18)10, and 65-(21)10 cascades) were analyzed at design conditions. In addition, the loss bucket for various angles of attack off-design conditions has been computed for the NACA 65-(18)10 cascade. Chord-based Reynolds number for all the experiments considered here was held at 250,000. This allows sufficient grid resolution in these LES analyses at an acceptable computational cost, i.e., up to 20,000 CPU hours per case. Detailed comparisons to test data are presented in the form of surface pressure coefficient, drag coefficient, losses, and momentum thickness ratio. The results show that LES is capable of capturing transition via laminar separation relatively well for most of the cases, and consequently, may constitute a predictive tool for assessing losses of different compressor airfoils.

References

1.
Zaki
,
T. A.
,
Wissink
,
J. G.
,
Rodi
,
W.
, and
Durbin
,
P. A.
,
2010
, “
Direct Numerical Simulations of Transition in a Compressor Cascade: The Influence of Free-Stream Turbulence
,”
J. Fluid Mech.
,
665
, pp.
57
98
.
2.
Gourdain
,
N.
,
Sicot
,
F.
,
Duchaine
,
F.
, and
Gicquel
,
L.
,
2014
, “
Large-Eddy Simulation of Flows in Industrial Compressors: A Path From 2015 to 2035
,”
Philos. Trans. R. Soc. A
,
372
(
2022
), p.
20130323
.
3.
Medic
,
G.
, and
Sharma
,
O. P.
,
2012
, “
Large-Eddy Simulation of Flow in a Low-Pressure Turbine Cascade
,”
ASME
Paper No. GT2012-68878.
4.
Herrig
,
L. J.
,
Emery
,
J. C.
, and
Erwin
,
J. R.
,
1957
, “
Systematic Two-Dimensional Cascade Tests of NACA 65-Series Compressor Blades at Low Speeds
,” National Advisory Committee for Aeronautics, Langley Aeronautical Laboratory, Langley Field, VA, Report No.
NACA
-TN-3916.
5.
Bullock
,
R. O.
, and
Johnsen
,
I. A.
,
1965
, “
Aerodynamic Design of Axial Flow Compressors
,” NASA Lewis Research Center, Cleveland, OH, Technical Report No.
NASA
-SP-36.
6.
Wilcox
,
D. C.
,
1998
,
Turbulence Modeling for CFD
, 2nd ed.,
DCW Industries
,
La Canada, CA
.
7.
Menter
,
F. R.
,
Kuntz
,
M.
, and
Langtry
,
R.
,
2003
, “
Ten Years of Industrial Experience With the SST Turbulence Model
,”
Turbulence, Heat and Mass Transfer
, Vol.
4
,
K.
Hanjalic
,
Y.
Nagano
, and
M.
Tummers
, ed.,
Begell House
, Danbury, CT.
8.
Langtry
,
R. B.
, and
Menter
,
F. R.
,
2009
, “
Correlation-Based Transition Modeling for Unstructured Parallelized Computational Fluid Dynamics Codes
,”
AIAA J.
,
47
(
12
), pp.
2984
2906
.
9.
Nicoud
,
F.
, and
Ducros
,
F.
,
1999
, “
Subgrid-Scale Stress Modeling Based on the Square of the Velocity Gradient Tensor
,”
Flow Turbul. Combust.
,
62
(
3
), pp.
183
200
.
10.
Ni
,
R.-H.
,
1982
, “
A Multiple-Grid Scheme for Solving the Euler Equations
,”
AIAA J.
,
20
(
11
), pp.
1565
1571
.
11.
Lele
,
S. K.
,
1992
, “
Compact Finite Difference Schemes With Spectral-Like Resolution
,”
J. Comput. Phys.
,
103
(
1
), pp.
16
43
.
12.
Joo
,
J.
,
2008
, “
Eddy Simulation of Turbine Blade Trailing Edge Cooling
,” Ph.D. dissertation, Mechanical Engineering Department, Stanford University, Stanford, CA.
13.
Ham
,
F.
,
2007
, “
An Efficient Scheme for Large Eddy Simulation of Low-Ma Combustion in Complex Configurations
,” Annual Research Briefs, Center for Turbulence Research, Stanford University, Stanford, CA, pp.
41
46
.
14.
Kim
,
D.
,
Ham
,
F.
,
Le
,
H.
,
Herrmann
,
M.
,
Li
,
X.
,
Soteriou
,
M. C.
, and
Kim
,
W.
,
2014
, “
High-Fidelity Simulation of Atomization in a Gas Turbine Injector High Shear Nozzle
,”
ILASS Americas
26th Annual Conference on Liquid Atomization and Spray Systems
, Portland, OR, May 18–21.
15.
Abott
,
I. H.
,
1945
, “
Summary of Airfoil Data
,” National Advisory Committee for Aeronautics, Langley Aeronautical Laboratory, Langley Field, VA, Technical Report No.
NACA
L-560.
16.
Lieblein
,
S.
,
Schwenk
,
F. C.
, and
Broderick
,
R. L.
,
1953
, “
Diffusion Factor for Estimating Losses and Limiting Blade Loading in Axial-Flow-Compressor Blade Elements
,” National Advisory Committee for Aeronautics, Washington, DC, Report No. NACA RM E53D0.
17.
Praisner
,
T. J.
, and
Clark
,
J. P.
,
2007
, “
Predicting Transition in Turbomachinery—Part I: A Review and New Model Development
,”
ASME J. Turbomach.
,
129
(
1
), pp.
1
13
.
18.
Praisner
,
T. J.
, and
Clark
,
J. P.
,
2007
, “
Predicting Transition in Turbomachinery—Part II: Model Validation and Benchmarking
,”
ASME J. Turbomach.
,
129
(
1
), pp.
14
22
.
19.
Ge
,
X.
,
Arolla
,
S.
, and
Durbin
,
P.
,
2014
, “
A Bypass Transition Model Based on the Intermittency Function
,”
J. Flow Turbul. Combust.
,
93
(
1
), pp.
37
61
.
20.
Kubacki
,
S.
,
Gorecki
,
B.
, and
Dick
,
E.
,
2011
, “
An Algebraic Intermittency Model Added to the k-ω RANS Model for Transition Simulations
,”
11th European Conference on Turbomachinery Fluid Dynamics and Thermodynamics
, (
ETC11
), Madrid, Spain, Mar. 23–27, Paper No. ETC2015-059.
21.
Vreman
,
A.
,
2004
, “
An Eddy-Viscosity Subgrid-Scale Model for Turbulent Shear Flow: Algebraic Theory and Applications
,”
Phys. Fluids
,
16
(
10
), pp.
3670
3682
.
22.
Moin
,
P.
,
Squires
,
K.
,
Cabot
,
W.
, and
Lee
,
S.
,
1991
, “
A Dynamic Subgrid-Scale Model for Compressible Turbulence and Scalar Transport
,”
Phys. Fluids A
,
3–11
, pp.
2746
2757
.
You do not currently have access to this content.