Abstract

A multi-objective optimization of a coupled casing treatment (CCT) for an axial transonic compressor is performed in this study. The coupled casing treatment is the basis axial slots with a circumferential groove located at various positions along the slots. During the optimization stage, five important parameters to control the geometry are used as the optimal variables. The stall margin and the peak efficiency are selected as the optimal objectives. Non-dominated sorting genetic algorithm II coupled with radial basis function (RBF) approximation is used to search for Pareto-optimal solutions. Then, four optimal configurations are selected from Pareto-front for further analysis. As shown in the simulation results with and without the coupled casing treatments, the leakage flow is reenergized and the blocking region near the blade leading edge at rotor tip is decreased by the use of these structures under the low flowrate condition, which is the main reason for stability enhancement. Besides, a coupled casing treatment with the groove settled near the end of the basis slots have the potential to generate more injection flow and extend the operating range of compressor further.

References

1.
Dickens
,
T.
, and
Day
,
I.
,
2010
, “
The Design of Highly Loaded Axial Compressors
,”
ASME J. Turbomach.
,
133
(
3
), p.
031007
. 10.1115/1.4001226
2.
Koch
,
C. C.
, and
Smith
,
L. H.
,
1976
, “
Loss Sources and Magnitudes in Axial-Flow Compressors
,”
ASME J. Eng. Gas Turb. Power
,
98
(
3
), pp.
411
424
. 10.1115/1.3446202
3.
Nezym
,
V. Y.
,
2004
, “
Development of New Casing Treatment Configuration
,”
JSME Int. J. B Fluids Thermal Eng.
,
47
(
4
), pp.
804
812
. 10.1299/jsmeb.47.804
4.
Houghton
,
T.
, and
Day
,
I.
,
2010
, “
Enhancing the Stability of Subsonic Compressors Using Casing Grooves
,”
ASME J. Turbomach.
,
133
(
2
), p.
021007
. 10.1115/1.4000569
5.
Houghton
,
T.
, and
Day
,
I.
,
2011
, “
Stability Enhancement by Casing Grooves: The Importance of Stall Inception Mechanism and Solidity
,”
ASME J. Turbomach.
,
134
(
2
), p.
021003
. 10.1115/1.4002986
6.
Ross
,
M. H.
,
Cameron
,
J. D.
,
Morris
,
S. C.
,
Chen
,
H. X.
, and
Shi
,
K.
,
2018
, “
Axial Compressor Stall, Circumferential Groove Casing Treatment, and the Tip-Clearance Momentum Flux
,”
J. Propul. Power
,
34
(
1
), pp.
146
152
. 10.2514/1.B36181
7.
Sakuma
,
Y.
,
Watanabe
,
T.
,
Himeno
,
T.
,
Kato
,
D.
,
Murooka
,
T.
, and
Shuto
,
Y.
,
2013
, “
Numerical Analysis of Flow in a Transonic Compressor With a Single Circumferential Casing Groove: Influence of Groove Location and Depth on Flow Instability
,”
ASME J. Turbomach.
,
136
(
3
), pp.
634
640
. 10.1115/1.4025575
8.
Wilke
,
I.
, and
Kau
,
H. P.
,
2004
, “
A Numerical Investigation of the Flow Mechanisms in a High Pressure Compressor Front Stage With Axial Slots
,”
ASME J. Turbomach.
,
126
(
3
), pp.
339
349
. 10.1115/1.1731465
9.
Alone
,
D. B.
,
Kumar
,
S. S.
,
Thimmaiah
,
S.
,
Mudipalli
,
J. R. R.
,
Pradeep
,
A. M.
,
Ramamurthy
,
S.
, and
Iyengar
,
V. S.
,
2016
, “
Stability Management of High Speed Axial Flow Compressor Stage Through Axial Extensions of Bend Skewed Casing Treatment
,”
Propul. Power Res.
,
5
(
3
), pp.
236
249
. 10.1016/j.jppr.2016.01.009
10.
Alone
,
D. B.
,
Kumar
,
S. S.
,
Shobhavathy
,
M. T.
,
Mudipalli
,
J. R. R.
,
Pradeep
,
A. M.
,
Ramamurthy
,
S.
, and
Iyengar
,
V. S.
,
2017
, “
Experimental Assessment on Effect of Lower Porosities of Bend Skewed Casing Treatment on the Performance of High Speed Compressor Stage With Tip Critical Rotor Characteristics
,”
Aerosp. Sci. Technol.
,
60
(
1
), pp.
193
202
. 10.1016/j.ast.2016.11.006
11.
Kim
,
J. H.
,
Choi
,
K. J.
,
Husain
,
A.
, and
Kim
,
K. Y.
,
2011
, “
Multiobjective Optimization of Circumferential Casing Grooves for a Transonic Axial Compressor
,”
J. Propul. Power
,
27
(
3
), pp.
730
733
. 10.2514/1.50563
12.
Kim
,
J. H.
,
Choi
,
K. J.
, and
Kim
,
K. Y.
,
2013
, “
Aerodynamic Analysis and Optimization of a Transonic Axial Compressor With Casing Grooves to Improve Operating Stability
,”
Aerosp. Sci. Technol.
,
29
(
1
), pp.
81
91
. 10.1016/j.ast.2013.01.010
13.
Qin
,
N.
,
Carnie
,
G.
,
Wang
,
Y. B.
, and
Shahpar
,
S.
,
2013
, “
Design Optimization of Casing Grooves Using Zipper Layer Meshing
,”
ASME J. Turbomach.
,
136
(
3
), p.
031002
. 10.1115/1.4024650
14.
Zhao
,
Q. J.
,
Zhou
,
X. Y.
, and
Xiang
,
X. R.
,
2014
, “
Multi-Objective Optimization of Groove Casing Treatment in a Transonic Compressor
,”
Proc. Inst. Mech. Eng. Part A J. Power Energy
,
228
(
6
), pp.
626
637
. 10.1177/0957650914532266
15.
Song
,
W. M.
,
Zhang
,
Y. F.
,
Chen
,
H. X.
, and
Deng
,
K. W.
,
2019
, “
Transonic Compressor Blade Optimization Integrated With Circumferential Groove Casing Treatment
,”
ASME J. Turbomach.
,
141
(
3
), p.
031015
. 10.1115/1.4041699
16.
Zhu
,
G. M.
,
Yang
,
B.
, and
Chu
,
W. L.
,
2018
, “
Slots and Groove Coupled Casing Treatment for a Transonic Compressor
,”
Proceedings of Chinese Society of Engineering Thermophysics on Engine Aero-Thermal Dynamics and Fluid Machinery
,
Xian, Shaanxi, China
,
Oct. 26–28
,
Paper No. 187076
.
17.
Spalart
,
P. R.
, and
Allmaras
,
S. R.
,
1992
, “
A One-Equation Turbulence Model for Aerodynamic Flows
,”
AIAA
Paper No. 1992-0439
.
18.
Jameson
,
A.
,
Schmidt
,
W.
, and
Turkel
,
E.
,
1981
, “
Numerical Solution of the Euler Equations by Finite Volume Methods Using Runge Kutta Time Stepping Schemes
,”
AIAA
Paper No. 1981-1259
.
19.
Strazisar
,
A. J.
,
Wood
,
J. R.
,
Hathaway
,
M. D.
, and
Suder
,
K. L.
,
1989
, “
Laser Anemometer Measurements in a Transonic Axial-Flow Fan Rotor
,”
NASA Report No. NASA TP-2879
.
20.
Jin
,
R.
,
Chen
,
W.
, and
Sudjianto
,
A.
,
2005
, “
An Efficient Algorithm for Constructing Optimal Design of Computer Experiments
,”
J. Stat. Plan. Inference
,
134
(
1
), pp.
268
287
. 10.1016/j.jspi.2004.02.014
21.
Broomhead
,
D. S.
, and
Lowe
,
D.
,
1988
, “
Multivariable Functional Interpolation and Adaptive Networks
,”
Complex Syst.
,
2
(
3
), pp.
321
355
.
22.
Deb
,
K.
,
Pratap
,
A.
,
Agarwal
,
S.
, and
Meyarivan
,
T.
,
2002
, “
A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II
,”
IEEE Trans. Evol. Comput.
,
6
(
2
), pp.
182
197
. 10.1109/4235.996017
23.
Aulich
,
M.
, and
Siller
,
U.
,
2011
, “
High-Dimensional Constrained Multiobjective Optimization of a Fan Stage
,”
ASME
Paper No. GT2011-45618
.
24.
Suder
,
K. L.
,
1996
, “
Experimental Investigation of the Flow Field in a Transonic, Axial Flow Compressor With Respect to the Development of Blockage and Loss
,”
NASA Report No. NASA-TM-107310
.
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