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Research Papers: Multiphase Flows

Numerical Simulation of Added Mass Effects on a Hydrofoil in Cavitating Flow Using Acoustic Fluid–Structure Interaction

[+] Author and Article Information
Xin Liu

Huaneng Clean Energy Research Institute,
Beijing 102209, China
e-mail: xin-liu@foxmail.com

Lingjiu Zhou

College of Water Resources and Civil Engineering,
China Agricultural University,
Beijing 100084, China
e-mail: zlj@cau.edu.cn

Xavier Escaler

Center for Industrial Diagnostics,
Universitat Politècnica de Catalunya,
Avinguda Diagonal 647,
Barcelona 08028, Spain
e-mail: escaler@mf.upc.edu

Zhengwei Wang

State Key Laboratory of Hydroscience and Engineering,
Department of Thermal Engineering,
Tsinghua University,
Beijing 100084, China
e-mail: wzw@mail.tsinghua.eud.cn

Yongyao Luo

State Key Laboratory of Hydroscience and Engineering,
Department of Thermal Engineering,
Tsinghua University,
Beijing 100084, China
e-mail: luoyy@tsinghua.edu.cn

Oscar De La Torre

Alstom Hydro España S.L.,
WTC Almeda Park,
Plaça de la Pau s/n Edif 3—3° Planta,
Cornellà 08940, Spain
e-mail: dela.oscar@gmail.com

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 19, 2016; final manuscript received September 12, 2016; published online January 20, 2017. Assoc. Editor: Matevz Dular.

J. Fluids Eng 139(4), 041301 (Jan 20, 2017) (8 pages) Paper No: FE-16-1107; doi: 10.1115/1.4035113 History: Received February 19, 2016; Revised September 12, 2016

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.

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Figures

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Fig. 1

Truncated NACA0009 design (left) and details of the leading edge roughness (right) (from Ref. [18])

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Fig. 2

Discretized finite element mesh on the NACA0009 hydrofoil (left) and in the FSI domain with the surrounding water (right)

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Fig. 3

Frequency variations for the first three modes as the number of elements in the spanwise direction was increased in the hydrofoil without fluid domain (left) and in the vertical direction in the fluid (right) with the complete FSI domain

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Fig. 4

Lateral view of the cavity in the cavitation tunnel (left) and corresponding model of the attached cavity (right) (left photograph from Ref. [2])

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Fig. 5

Hydrodynamic conditions resulting in increasing cavitation surface ratios (photographs from Ref. [18])

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Fig. 6

Predicted and measured added mass coefficients for various CSR and sigma for f2 and f3

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Fig. 7

Numerical hydrofoil mode shapes in air, still water, half-wetted, and with short and medium length cavities

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Fig. 8

Measured (top) and predicted (bottom) f3 mode shapes in air, in water, and with an attached cavity of l/c around 0.5 (experimental results from Ref. [24])

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Fig. 9

Cross section of the hydrofoil for cavity lengths, ld, of 0, 40, and 80 mm

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Fig. 10

Added mass coefficients for various ld

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Fig. 11

Mode shapes of the hydrofoil with the cavity at different locations for l/c = 0.318

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