A fluid–structure interaction (FSI) system has been solved using the coupled acoustic structural finite element method (FEM) to simplify the cavitating flow conditions around a hydrofoil. The modes of vibration and the added mass effects have been numerically simulated for various flow conditions including leading edge attached partial cavitation on a two-dimensional NACA0009 hydrofoil. The hydrofoil has been first simulated surrounded by only air and by only water. Then, partial cavities with different lengths have been modeled as pure vapor fluid domains surrounded by the corresponding water and solid domains. The obtained numerical added mass coefficients and mode shapes are in good agreement with the experimental data available for the same conditions. The study confirms that the fluid added mass effect decreases with the cavitation surface ratio (CSR) and with the thickness of the cavitation sheet. Moreover, the simulations also predict slight mode shape variations due to cavitation that have also been detected in the experiments. Finally, the effects of changes in cavity location have been evaluated with the previously validated model.

References

References
1.
Brennen
,
C.
,
1982
, “
A Review of Added Mass and Fluid Inertial Forces
,” Department of the Navy, Port Hueneme, CA,
Report No. CR 82.010
.
2.
De La Torre
,
O.
,
2013
, “
Influence of Cavitation on the Dynamic Response of Hydrofoils
,” Ph.D. thesis, Universitat Politècnica de Catalunya, Barcelona, Spain.
3.
Benaouicha
,
M.
, and
Astolfi
,
J.-A.
,
2012
, “
Analysis of Added Mass in Cavitating Flow
,”
J. Fluids Struct.
,
31
(
8
), pp.
30
48
.
4.
Chae
,
E. J.
,
Akcabay
,
D. T.
, and
Young
,
Y. L.
,
2013
, “
Dynamic Response and Stability of a Flapping Foil in a Dense and Viscous Fluid
,”
Phys. Fluids (1994-Present)
,
25
(
10
), p.
104106
.
5.
Amromin
,
E.
, and
Kovinskaya
,
S.
,
2000
, “
Vibration of Cavitating Elastic Wing in a Periodically Perturbed Flow: Excitation of Subharmonics
,”
J. Fluids Struct.
,
14
(
5
), pp.
735
751
.
6.
Young
,
Y.
,
2007
, “
Time-Dependent Hydroelastic Analysis of Cavitating Propulsors
,”
J. Fluids Struct.
,
23
(
2
), pp.
269
295
.
7.
Young
,
Y. L.
, and
Savander
,
B. R.
,
2011
, “
Numerical Analysis of Large-Scale Surface-Piercing Propellers
,”
Ocean Eng.
,
38
(
13
), pp.
1368
1381
.
8.
Ducoin
,
A.
,
Young
,
Y. L.
, and
Sigrist
,
J.-F. O.
,
2010
, “
Hydroelastic Responses of a Flexible Hydrofoil in Turbulent, Cavitating Flow
,”
ASME
Paper No. FEDSM-ICNMM2010-30310.
9.
Fine
,
N. E.
,
Uhlman
,
J. S.
, and
Kring
,
D. C.
,
2001
, “
Calculation of the Added Mass and Damping Forces on Supercavitating Bodies
,” California Institute of Technology, Pasadena, CA, accessed July 1, 2016, http://resolver.caltech.edu/CAV2001:sessionB3.006
10.
Akcabay
,
D. T.
, and
Young
,
Y. L.
,
2014
, “
Influence of Cavitation on the Hydroelastic Stability of Hydrofoils
,”
J. Fluids Struct.
,
49
(
35
), pp.
170
185
.
11.
Akcabay
,
D. T.
,
Chae
,
E. J.
,
Young
,
Y. L.
,
Ducoin
,
A.
, and
Astolfi
,
J. A.
,
2014
, “
Cavity Induced Vibration of Flexible Hydrofoils
,”
J. Fluids Struct.
,
49
(
35
), pp.
463
484
.
12.
Wu
,
Q.
,
Huang
,
B.
,
Wang
,
G.
, and
Gao
,
Y.
,
2015
, “
Experimental and Numerical Investigation of Hydroelastic Response of a Flexible Hydrofoil in Cavitating Flow
,”
Int. J. Multiphase Flow
,
74
, pp.
19
33
.
13.
Dompierre
,
F.
, and
Sabourin
,
M.
,
2010
, “
Determination of Turbine Runner Dynamic Behaviour Under Operating Condition by a Two-Way Staggered Fluid-Structure Interaction Method
,”
IOP Conf. Ser.: Earth Environ. Sci.
,
12
(
1
), p.
012085
.
14.
Hübner
,
B.
,
Seidel
,
U.
, and
Roth
,
S.
,
2010
, “
Application of Fluid-Structure Coupling to Predict the Dynamic Behavior of Turbine Components
,”
IOP
Conference Series: Earth and Environmental Science
, IOP Publishing, Timişoara, Romania, p.
012009
.
15.
Liu
,
X.
,
Luo
,
Y.
,
Karney
,
B.
,
Wang
,
Z.
, and
Zhai
,
L.
,
2015
, “
Virtual Testing for Modal and Damping Ratio Identification of Submerged Structures Using the PolyMAX Algorithm With Two-Way Fluid-Structure Interactions
,”
J. Fluids Struct.
,
54
, pp.
548
565
.
16.
Presas
,
A.
,
Valero
,
C.
,
Huang
,
X.
,
Egusquiza
,
E.
,
Farhat
,
M.
, and
Avellan
,
F.
,
2012
, “
Analysis of the Dynamic Response of Pump-Turbine Runners-Part I: Experiment
,”
IOP
Conference Series: Earth and Environmental Science
,
IOP Publishing
,
Beijing, China
, p.
052015
.
17.
He
,
L.
,
Wang
,
Z.
,
Kurosawa
,
S.
, and
Nakahara
,
Y.
,
2014
, “
Resonance Investigation of Pump-Turbine During Startup Process
,”
IOP
Conference Series: Earth and Environmental Science
,
IOP Publishing
,
Montreal, Canada
, p.
032024
.
18.
De La Torre
,
O.
,
Escaler
,
X.
,
Egusquiza
,
E.
, and
Farhat
,
M.
,
2013
, “
Experimental Investigation of Added Mass Effects on a Hydrofoil Under Cavitation Conditions
,”
J. Fluids Struct.
,
39
(
5
), pp.
173
187
.
19.
ANSYS
,
2015
, “
ANSYS Theory Reference
,”
ANSYS
,
Canonsburg, PA
.
20.
Junger
,
M. C.
, and
Feit
,
D.
,
1986
,
Sound, Structures, and Their Interaction
,
MIT Press
,
Cambridge, MA
.
21.
Bathe
,
K. J.
,
2006
,
Finite Element Procedures
,
Prentice Hall
,
Upper Saddle River, NJ
.
22.
Zienkiewicz
,
O. C.
, and
Newton
,
R. E.
,
1969
, “
Coupled Vibrations of a Structure Submerged in a Compressible Fluid
,”
Symposium on Finite Element Techniques
,
Stuttgart
,
Germany
, pp.
360
378
.
23.
De La Torre
,
O.
,
Escaler
,
X.
,
Egusquiza
,
E.
, and
Farhat
,
M.
,
2014
, “
Numerical and Experimental Study of a Nearby Solid Boundary and Partial Submergence Effects on Hydrofoil Added Mass
,”
Comput. Fluids
,
91
(
7
), pp.
1
9
.
24.
De La Torre
,
O.
,
Escaler
,
X.
,
Egusquiza
,
E.
, and
Farhat
,
M.
,
2015
, “
Experimental Mode Shape Determination of a Cantilevered Hydrofoil Under Different Flow Conditions
,”
Proc. Inst. Mech. Eng., Part C
, epub.
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