Integrated analysis of flow-induced noise from submarine under snorkel condition

Abstract

Accurate evaluation of the underwater radiated noise under the snorkel operating condition is critical as submarines are frequently exposed to danger under this condition. In this article, the procedures of an integrated simulation to estimate the flow-induced noise considering the submarine operating condition are described. These procedures evaluate both the bubble noise from breaking waves occurring at the free surface and turbulent flow noise from the underwater flow field. To simulate the flow field around a submarine, a two-phase hydrodynamic analysis based on the modified volume-of-fluid model, including air entrainment, was performed. The results of the free-surface shape and activated regions of air entrainment were compared with the experimental observations and showed very good agreement. The hydrodynamic results, including the rate of air entrainment and flow-field data, were applied to the bubble noise model and the permeable forms of the Ffowcs Williams and Hawkings equation to calculate the flow-induced noise of the submarine. Further, the numerical results of the flow-induced noise were validated through a comparison with the experimental result obtained at the large cavitation tunnel in Korea Research Institute of Ships and Ocean Engineering. The result reveals that bubble noise dominated below 500 Hz, whereas turbulent flow noise dominated above 500 Hz. Finally, the estimation of the underwater radiated noise of the flow-induced noise under the far-field condition was performed. The developed procedures can be effectively used to analyze the flow-induced noise from a submarine under snorkel condition and indicate its usability through the quantitative assessment tool in the design stage or risk management of a submarine.

Keywords

Flow-induced noise snorkel condition submarine air entrainment bubble noise large cavitation tunnel

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References

Urick

. Principles of underwater sound for engineers. New York: Tata McGraw-Hill Education, 1967.

Hirt

. Modeling turbulent entrainment of air at a free surface. Santa Fe, NM: Flow Science, 2003.

Moraga

Carrica

Drew

, et al. A sub-grid air entrainment model for breaking bow waves and naval surface ships. Comput Fluid 2008; 37(3): 281–298.

Oberai

Drew

, et al. A comprehensive sub-grid air entrainment model for RaNS modeling of free-surface bubbly flows. J Comput Multiphase Flow 2011; 3(1): 41–56.

Oberai

Hyman

, et al. Two-fluid modeling of bubbly flows around surface ships using a phenomenological subgrid air entrainment model. Comput Fluid 2011; 52: 50–57.

Deane

Stokes

. Scale dependence of bubble creation mechanisms in breaking waves. Nature 2002; 418(6900): 839.

Deane

. Sound generation and air entrainment by breaking waves in the surf zone. J Acoust Soc Am 1997; 102(5): 2671–2689.

Deane

Stokes

. Model calculations of the underwater noise of breaking waves and comparison with experiment. J Acoust Soc Am 2010; 127(6): 3394–3410.

Weller

. A new approach to VOF-based interface capturing methods for incompressible and compressible flow. Technical report TR/HGW/04, 2008. Bracknell: Opencfd Ltd, 2008.

10.

Lopes

Jorge

Rita

. Self-aeration modelling using a sub-grid volume-of-fluid model. Int J Nonlin Sci Numer Simul 2017; 18(7–8): 559–574.

11.

Lopes

. Explicit calculation of natural aeration using a volume-of-fluid model. Appl Math Model 2016; 40(17–18): 7504–7515.

12.

Ffowcs Williams

Hawkings

. Sound generation by turbulence and surfaces in arbitrary motion. Philos TR Soc London: Ser A 1969; 264(1151): 321–342.

13.

Farassat

. Derivation of formulations 1 and 1A of Farassat, 2007, https://ntrs.nasa.gov/search.jsp?R=20070010579

14.

Choi

Hong

, et al. Turbulence-induced noise of a submerged cylinder using a permeable FW-H method. Int J Naval Architect Ocean Eng 2016; 8(3): 235–242.

15.

Franz

. Splashes as sources of sound in liquids. J Acoust Soc Am 1959; 31(8): 1080–1096.

16.

Pumphrey

Crum

. Acoustic emissions associated with drop impacts. In: Kerman

(ed.) Sea Surface Sound. Dordrecht: Springer, 1988, pp.463–483.

17.

Banner

Douglas

. Physical mechanisms of noise generation by breaking waves—a laboratory study. In: Kerman

(ed.) Sea Surface Sound. Dordrecht: Springer, 1988, pp.429–436.

18.

28th ITTC Resistance Committee. Uncertainty analysis in CFD: verification and validation methodology and procedures. Technical report 7.5-03-01-01. Revision 03. International Towing Tank Conference (ITTC), 2017.

19.

Clay

Medwin

. Acoustical oceanography: principles and applications. Hoboken, NJ: John Wiley & Sons, 1977.

20.

Ianniello

Muscari

Mascio

. Ship underwater noise assessment by the acoustic analogy part II: hydroacoustic analysis of a ship scaled model. J Marine Sci Technol 2014; 19(1): 52–74.

21.

Choi

Hong

, et al. Development of formulation Q1As method for quadrupole noise prediction around a submerged cylinder. Int J Naval Architect Ocean Eng 2017; 9(5): 484–491.