Research Papers: Flows in Complex Systems

An Experimental Analysis of the Structural Response of Flexible Lightweight Hydrofoils in Cavitating Flow

[+] Author and Article Information
Alexandra Lelong

Department of Mechanical Engineering,
Naval Academy Research Institute,
BCRM Brest,
Brest Cedex 9 29240, France
e-mail: alelong.al@gmail.com

Pierre Guiffant

Department of Mechanical Engineering,
Naval Academy Research Institute,
BCRM Brest,
Brest Cedex 9 29240, France
e-mail: pierre.guiffant29@gmail.com

Jacques André Astolfi

Department of Mechanical Engineering,
Naval Academy Research Institute,
BCRM Brest,
Brest Cedex 9 29240, France
e-mail: jacques-andre.astolfi@ecole-navale.fr

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 7, 2016; final manuscript received September 6, 2017; published online November 7, 2017. Assoc. Editor: Olivier Coutier-Delgosha.

J. Fluids Eng 140(2), 021116 (Nov 07, 2017) (9 pages) Paper No: FE-16-1805; doi: 10.1115/1.4037990 History: Received December 07, 2016; Revised September 06, 2017

This paper presents an original experimental study concerning the structural response of a flexible lightweight hydrofoil undergoing various flow conditions including partial cavitating flow. It is based on the analysis of the static deformation, the vibrations, the strains, and the stresses of a polyacetal NACA0015 cantilevered hydrofoil in a hydrodynamic tunnel, at Reynolds numbers ranging from 3 × 105 to 6 × 105. A specific distance measurement laser device was developed to measure the static deformation of the hydrofoil. The vibration response was measured by means of two laser vibrometers in order to identify the structural modal response. The strains and stresses were obtained from integrated strain gauges embedded in the foil close to the root section. A high-speed camera was used in order to analyze unsteady features of the cavitating flow. This paper presents the experimental setup and several results in both noncavitating and cavitating flow that should be very useful for numerical developments of fluid structure interaction (FSI) in heavy fluid. Several observations are reported in the paper showing the strong coupling between the fluid and the structure. Particularly, a frequency lock-in of the cavity frequency to the first bending mode is clearly observed for a narrow band of cavitation numbers.

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Fig. 1

Cantilevered flexible hydrofoil made of POM and equipped with strain gauges at the root

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Fig. 2

Deformed hydrofoil measured from laser scanning (obtained from five scanned sections along the span)

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Fig. 3

Surface modal shapes measured from scanning laser vibrometer in air

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Fig. 4

Normalized modal shapes at mid chord for bending (up) and twisting (down)—comparison with beam theory

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Fig. 5

Static bending at mid chord (up) and divided by the square of the velocity (down), α = 8deg

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Fig. 6

Mean strains (up) and principal stresses and von Mises stress (down), U = 5 m s–1

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Fig. 7

Mean of von Mises stress depending on cavitation number. Vertical bars are the standard deviation.

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Fig. 8

Snapshots of time-history of von Mises stress for different cavitation numbers

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Fig. 9

Vibration velocity spectra. α = 8 deg, U = 3–6 m s–1 (noncavitating flow), dB ref 1 m s–1.

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Fig. 10

Frequency of the bending mode (left) and twisting mode (right) versus the angle of incidence for various flow velocities

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Fig. 11

Vibration spectra, dB ref 1 m s–1, (α = 2 deg, U = 3–6 m s–1, noncavitating flow)

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Fig. 12

Vibration velocity in cavitating flow, dB ref 1 m s–1 (α = 8 deg, U = 6 m s–1)

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Fig. 13

Zoom of vibration velocity spectra close to the bending mode in cavitating flow (left), dB ref 1 m s–1. Corresponding cavity length spectra obtained from images processing of the high-speed camera (right) (α = 8 deg, U = 6 m s–1).

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Fig. 14

Bending frequency f1 and cavity frequency fo versus the cavitation number, POM hydrofoil

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Fig. 15

Bending frequency f1 and cavity frequency fo versus the cavitation number, steel hydrofoil



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