Establishment of cavitation inception speed judgment criteria by cavitation noise analysis for underwater vehicles

Abstract

Cavitation occurs on objects that move underwater at high speeds, and it is accompanied by an increase in hull vibrations, a reduction in propulsion performance, and an increase in noise that is important for warships and submarines. Of the various types of cavitations, tip vortex cavitations (TVC) are the earliest occurring and are considered the most important in terms of cavitation inception speed (CIS). This study predicts the cavitation inception speed by conducting cavitation noise analyses. The trend of the noise according to the cavitation numbers before and after CIS was analysed, and the quantitative criteria to determine the CIS were presented through established procedures. The CIS value obtained through the analysis was verified by comparing it against the value obtained experimentally. The methods used to analyse the cavitation inception speed are developed using bubble dynamics for cavitation noises. First, flow-field information was obtained downstream of the wing to estimate the external force acting on the bubbles, and this was used to calculate the behaviour of the cavitation bubbles. The bubble dynamics analyses were performed for each cavitation nuclei by Lagrange approach to calculate the behaviour of the bubbles. The number of cavitation nuclei was calculated based on the density function with random placement upstream of the wing. The cavitation noise was analysed for various cavitation numbers, and the tendency of the noise generated for each case was investigated. The noise analysis results and the CIS predictions were compared and verified with the measured values in the Large Cavitation Tunnel (LCT) of the Korea Research Institute of Ship & Ocean Engineering (KRISO). Using these results, the effect of the tip vortex cavitation on the total flow noise was analysed, and CIS determination criteria using noise values was validated and established.

Keywords

Tip vortex cavitation cavitation inception speed (CIS)vortex model bubble dynamics cavitation noise large cavitation tunnel (LCT)elliptic wing

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References

Amini

Reclari

Sano

, et al. On the physical mechanism of tip vortex cavitation hysteresis. Exp Fluids 2019; 60(7): 118.

Sandhya

Rajarajeswari

Seetaramaiah

. Detecting inception of hydrodynamic cavitation noise of ships using quadratic phase coupling index as an indicator. Def Sci J 2015; 65(1): 53–62.

Lee

C-S

Ahn

B-K

Han

J-M

, et al. Propeller tip vortex cavitation control and induced noise suppression by water injection. J Mar Sci Technol 2018; 23(3): 453–463.

Zeng

Z-b

Kuiper

. Blade section design of marine propellers with maximum cavitation inception speed. J Hydrodynam B 2012; 4(1): 65–75.

Arndt

Arakeri

Higuchi

. Some observations of tip-vortex cavitation. J Fluid Mech 1991; 229: 269–289.

Arndt

Keller

. Water quality effects on cavitation inception in a trailing vortex. J Fluid Mech 1992; 114: 369–378.

Higuchi

Arndt

Rogers

. Characteristics of tip vortex cavitation noise. J Fluids Eng 1989; 111(4): 495–501.

McCormick

Jr.

On cavitation produced by a vortex trailing from a lifting surface. J Basic Eng 1962; 84(3): 369–378.

Song

Peng

, et al. An acoustic approach to determine tip vortex cavitation inception for an elliptical hydrofoil considering nuclei-seeding. Int J Multiph Flow 2017; 90: 79–87.

10.

Park

Seong

. Novel scaling law for estimating propeller tip vortex cavitation noise from model experiment. J Hydrodynam 2017; 29(6): 962–971.

11.

Keller

(ed.). Cavitation scale effects-empirically found relations and the correlation of cavitation number and hydrodynamic coefficients. In: Fourth international symposium on cavitation, California Institute of Technology, Pasadena, CA, June 20–23 2001.

12.

Shen

Jessup

Gowing

(eds). Tip vortex cavitation inception scaling for high Reynolds number application. In: Fluids engineering division summer meeting, New Orleans, LA, 2003.

13.

Astolfi

J-A

Fruman

Billard

J-Y

. A model for tip vortex roll-up in the near field region of three-dimensional foils and the prediction of cavitation onset. Eur J Mech B Fluids 1999; 18(4): 757–775.

14.

Hsiao

C-T

Pauley

. Study of tip vortex cavitation inception using Navier-Stokes computation and bubble dynamics model. J Fluid Eng 1999; 121(1): 198–204.

15.

Hsiao

C-T

Chahine

. Prediction of tip vortex cavitation inception using coupled spherical and nonspherical bubble models and Navier–Stokes computations. J Mar Sci Technol 2004; 8(3): 99–108.

16.

Hsiao

C-T

Chahine

. Scaling of tip vortex cavitation inception noise with a bubble dynamics model accounting for nuclei size distribution. J Fluids Eng 2005; 127(1): 55–65.

17.

Green

. Fluid vortices. Berlin, Germany: Springer Science Business Media, 2012.

18.

Burgers

. A mathematical model illustrating the theory of turbulence. In: Advances in applied mechanics, vol.1. New York: Academic Press, 1948, pp.171–199.

19.

Jamil

Shah

SIA

, (eds). Analysis of Burgers’ vortex model: velocity profiles and vorticity distribution. In: 2017 Fifth International Conference on Aerospace Science & Engineering (ICASE), Islamabad, Pakistan, 14–16 November 2017. New York: IEEE.

20.

Moore

Saffman

. Axial flow in laminar trailing vortices. Proc R Soc London A Math Phys Sci 1973; 333(1595): 491–508.

21.

Fruman

Cerrutti

Pichon

, et al. Effect of hydrofoil planform on tip vortex roll-up and cavitation. J Fluids Eng 1995; 117: 162–169.

22.

Carlton

. Marine propellers and propulsion. Burlington: Butterworth-Heinemann, 2018.

23.

O’Hern

d’Agostino

Acosta

. Comparison of holographic and Coulter Counter measurements of cavitation nuclei in the ocean. J Fluids Eng 1988; 110(2): 200–207.

24.

Kamiirisa

. The effect of water quality characteristics on cavitation noise. In: Fourth international symposium on cavitation, California Institute of Technology, Pasadena, CA, 20–23 June 2001.

25.

Rayleigh

. VIII. On the pressure developed in a liquid during the collapse of a spherical cavity. Philos Mag 1917; 34(200): 94–98.

26.

Plesset

. The dynamics of cavitation bubbles. J Appl Mech 1949; 16: 277–282.

27.

Plesset

Prosperetti

. Bubble dynamics and cavitation. Annu Rev Fluid Mech 1977; 9(1): 145–185.

28.

Brennen

. Cavitation and bubble dynamics. New York: Cambridge University Press, 2014.

29.

Lecoffre

. Cavitation: bubble trackers. Florida: CRC Press, 1999.

30.

Maxey

Riley

. Equation of motion for a small rigid sphere in a nonuniform flow. Phys Fluids 1983; 26(4): 883–889.

31.

Haberman

Morton

. An experimental investigation of the drag and shape of air bubbles rising in various liquids. Washington DC: David Taylor Model Basin, 1953.

32.

Kubota

Kato

Yamaguchi

. A new modelling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section. J Fluid Mech 1992; 240: 59–96.

33.

Park

Seol

Choi

, et al. Numerical prediction of tip vortex cavitation behavior and noise considering nuclei size and distribution. Appl Acoust 2009; 70(5): 674–680.

34.

Blake

. Mechanics of flow-induced sound and vibration, volume 1: general concepts and elementary sources. London: Academic Press, 2017.

35.

Urick

. Principles of underwater sound for engineers. New York: McGraw-Hill. Inc, 1975.

36.

Han

Lee

Jeon

, et al. Development of an evaluation method to determine cavitation inception speed with aft hull vibration using kurtosis of the DEMON spectrum. Ocean Eng 2018; 152: 167–180.

37.

Franc

J-P

Michel

J-M

. Fundamentals of cavitation. Berlin, Germany: Springer science & Business media, 2006.

38.

. Cavitation of hydraulic machinery. Singapore: World Scientific, 2000.