Abstract
Accompanying with cavitation, cavitation noise generated due to the bubble dynamics is always inevitable, but wholly undesirable, especially for the propeller of marine vehicles which requires high concealment. Nowadays, polymer composite material with good sound absorption capability and high cavitation inception speed due to its elastic deformation characteristics has been used to make propeller blades. Bubble dynamics near elastic boundaries is more complicated and has drawn more and more study interests. Yet, the effect of the elastic modulus on the cavitation noise is lack of attention and still not clear. Here, we show that the total sound pressure level (TSPL) of the measured cavitation noise is nonlinear with the elastic modulus of the solid wall. We adjusted the elastic modulus of polydimethylsiloxane (PDMS) by changing its base-to-agent ratio n and found that TSPL of PDMS3 (n = 20, E = 1.0 MPa) was 8 dB lower than that of PDMS1 (n = 5, E = 3.7 MPa) and 6 dB lower than PDMS2 (n = 10, E = 2.7 MPa). Yet, with further decrease in the elastic modulus (PDMS4, n = 30, E = 0.65 MPa), TSPL bounced back to almost the same value of PDMS1. It is attributed to the influence of the elastic boundary on the bubble dynamics. Only when the bubble collapsed with microjet totally away from the boundary, the lowest TSPL could be achieved. Furthermore, we found that the bubble dynamics of a single laser-induced bubble could be used as a point of reference for the cavitation noise of bubble clusters.
Similar content being viewed by others
References
Christopher EB (1995) Cavitation bubble collapse. Cavitation and bubble dynamics. Oxford University Press, London, pp 87–138
Sharma SD, Mani K, Arakeri VH (1990) Cavitation noise studies on marine propellers. J Sound Vib 138:255–283. https://doi.org/10.1016/0022-460X(90)90542-8
Ross D (2005) Ship sources of ambient noise. IEEE J OCEANIC ENG 30:257–261. https://doi.org/10.1109/JOE.2005.850879
Wittekind D, Schuster M (2016) Propeller cavitation noise and background noise in the sea. OCEAN ENG 120:116–121. https://doi.org/10.1016/j.oceaneng.2015.12.060
Kawanami Y, Kato H, Yamaguchi H, Tanimura M, Tagaya Y (1997) Mechanism and control of cloud cavitation. J Fluids Eng. https://doi.org/10.1115/1.2819499
Ligtelijn JT (2007) Advantages of different propellers for minimising noise generation. In: Proceedings of the 3rd international ship noise and vibration conference, London, UK
Marsh G (2004) A new start for marine propellers? Reinf Plast. https://doi.org/10.1016/S0034-3617(04)00493-X
Young YL (2007) Time-dependent hydro-elastic analysis of cavitating propulsors. J Fluids Struct. https://doi.org/10.1016/j.jfluidstructs.2006.09.003
Paik BG, Kim GD, Kim KY, Seol HS, Hyun BS, Lee SG, Jung YR (2013) Investigation on the performance characteristics of the flexible propellers. OCEAN ENG. https://doi.org/10.1016/j.oceaneng.2013.09.005
Tomita Y, Kodama T (2003) Interaction of laser-induced cavitation bubbles with composite surfaces. J Appl Phys 94:2809–2816. https://doi.org/10.1063/1.1594277
Shaw SJ, Jin YH, Gentry TP, Emmony DC (1999) Experimental observations of the interaction of a laser generated cavitation bubble with a flexible membrane. Phys Fluids 11(8):2437–2439. https://doi.org/10.1063/1.870036
Sankin GN, Zhong P (2006) Interaction between shock wave and single inertial bubbles near an elastic boundary. Phys Rev E. 74:046304. https://doi.org/10.1103/PhysRevE.74.046304
Brujan EA, Nahen K, Schmidt P, Vogel A (2001) Dynamics of laser-induced cavitation bubbles near elastic boundaries: influence of the elastic modulus. J Fluid Mech 433:283–314. https://doi.org/10.1017/S0022112000003347
Brujan EA, Nahen K, Schmidt P, Vogel A (2001) Dynamics of lase-induced cavitation bubbles near an elastic boundary. J Fluid Mec. https://doi.org/10.1017/S0022112000003347
Gong SW, Ohl SW, Klaseboer E, Khoo BC (2018) Interaction of a spark-generated bubble with a two-layered composite beam. J Fluids Struct 76:336–348. https://doi.org/10.1016/j.jfluidstructs.2017.09.008
Horvat D, Orthaber U, Schille J, Hartwig L, Löschner U, Vrečko A, Petkovšek R (2018) Laser-induced bubble dynamics inside and near a gap between a rigid boundary and an elastic membrane. Int J Multiph Flow 100:119–126. https://doi.org/10.1016/j.ijmultiphaseflow.2017.12.010
Xu W, Zhai Y, Luo J, Zhang Q, Li J (2019) Experimental study of the influence of flexible boundaries with different elastic moduli on cavitation bubbles. Exp Therm Fluid Sci 109:109897. https://doi.org/10.1016/j.expthermflusci.2019.109897
Lokar Z, Petkovšek R, Dular M (2021) Cavitation bubble dynamics in a vicinity of a thin membrane wetted by different fluids. Sci Rep 11:3506. https://doi.org/10.1038/s41598-021-83004-7
Liu JL, Xiao W, Yao XL, Huang XH (2021) Dynamics of a bubble in a liquid fully confined by an elastic boundary. Phys Fluids 33(6):063303. https://doi.org/10.1063/5.0052287
Cramer E, Lauterborn W (1982) Acoustic cavitation noise spectra. In: Wijngaarden L (ed) Mechanics and physics of bubbles in liquids. Springer, Dordrecht, pp 209–214
Ge H, Li Chen HS (2016) Cavitation noise from elastic response of metals in ultrasonic cavitation erosion. P I MECH ENG J-J ENG 230(7):836–841. https://doi.org/10.1177/1350650115619149
Ge H, Li YJ, Chen HS (2019) Ultrasonic cavitation noise in suspensions with ethyl cellulose nanoparticles. J Appl Phy 125(22):225301. https://doi.org/10.1063/1.5099937
Duncan JH, Milligan CD, Zhang S (1996) On the interaction between a bubble and a submerged compliant structure. J Sound Vib. https://doi.org/10.1006/jsvi.1996.0515
Lötters JC, Olthuis W, Veltink PH, Berģveld P (1997) The mechanical properties of the rubber elastic polymer polydimethylsiloxane for sensor applications. J Micromech Microeng 7:145–157. https://doi.org/10.1088/0960-1317/7/3/017
Liu M, Sun JR, Sun Y, Bock C, Chen QF (2009) Thickness-dependent mechanical properties of polydimethylsiloxane membranes. J Micromech Microeng 19(3):035028. https://doi.org/10.1088/0960-1317/19/3/035028
Khanafer K, Duprey A, Schlicht M, Berguer R (2009) Effects of strain rate, mixing ratio, and stress-strain definition on the mechanical behavior of the polydimethylsiloxane (PDMS) material as related to its biological applications. Biomed Microdevices. https://doi.org/10.1007/s10544-008-9256-6
Ashokkumar M (2011) The characterization of acoustic cavitation bubbles-An overview. ULTRASON SONOCHEM. https://doi.org/10.1016/j.ultsonch.2010.11.016
Ashokkumar M, Lee J, Kentish S, Grieser F (2007) Bubbles in an ultrasonic field: an overview. ULTRASON SONOCHEM. https://doi.org/10.1016/j.ultsonch.2006.09.016
Song JH, Johansen K, Prentice P (2016) An analysis of the acoustic cavitation noise spectrum: The role of periodic shock waves. J Acoust Soc Am 140:2494–2505. https://doi.org/10.1121/1.4964633
Pecha R, Gompf B (2000) Microimplosions: cavitation collapse and shock wave emission on a nanosecond time scale. Phys Rev Let 84:1328–1330. https://doi.org/10.1103/PhysRevLett.84.1328
Chudina M (2003) Noise as an indicator of cavitation in a centrifugal pump. Acoust Phys 49(4):463–474. https://doi.org/10.1134/1.1591303
Xu WL, Li JB, Luo J, Zhai YW (2021) Effect of a single air bubble on the collapse direction and collapse noise of a cavitation bubble. Exp Therm Fluid Sci 120:110218. https://doi.org/10.1016/j.expthermflusci.2020.110218
Vogel A, Lauterborn W, Timm R (1989) Optical and acoustic measurements of the dynamics of laser-produced cavitation bubbles near a solid boundary. J Fluid Mech. https://doi.org/10.1017/S0022112089002314
Brujan EA, Keen GS, Vogel A, Blake JR (2002) The final stage of the collapse of a cavitation bubble close to a rigid boundary. Phys Fluids 14(1):85–92. https://doi.org/10.1063/1.1421102
Kodama T, Tomita Y (2000) Cavitation bubble behaviour and bubble-shock wave interaction near a gelatin surface as a study of in vivo bubble dynamics. Appl Phys B. https://doi.org/10.1007/s003400050022
Tinguely M, Obreschkow D, Kobel P, Dorsaz N, De Bosset A, Farhat M (2012) Energy partition at the collapse of spherical cavitation bubbles, phys rev e - stat nonlinear. Soft Matter Phys. https://doi.org/10.1103/PhysRevE.86.046315
Van Gorder R (2016) Dynamics of the rayleigh-plesset equation modelling a gas-filled bubble immersed in an incompressible fluid. J Fluid Mech. https://doi.org/10.1017/jfm.2016.640
Ma X, Huang B, Zhao X, Wang Y, Chang Q, Qiu S, Fu X, Wang G (2018) Comparisons of spark-charge bubble dynamics near the elastic and rigid boundaries. Ultrason Sonochem 43:80–90. https://doi.org/10.1016/j.ultsonch.2018.01.005
Ishibashi M, Preis A, Satoh F, Tachibana H (2006) Relationships between arithmetic averages of sound pressure level calculated in octave bands and Zwicker’s loudness level. Appl Acoust 67(7):720–730. https://doi.org/10.1016/j.apacoust.2005.09.003
Acknowledgements
The authors acknowledge Wang Zhuwei and Chen Haosheng for technical assistance.
Funding
This work was supported by Key Special Project for Introduced Talents Team of Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou) [Grant Number: GML2019ZD0506], 2020 Research Program of Sanya Yazhou Bay Science and Technology City [grant number: SKYC-2020–01-001], Finance Science and Technology Project of Hainan Province [Grant No. ZDKJ202019].
Author information
Authors and Affiliations
Contributions
Han Ge contributed to the study conception and design. Material preparation and experiments were performed by Ronghua Zhu. Data collection and analysis were performed by Jiawang Chen. The first draft of the manuscript was written by Han Ge and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors have no competing interests to declare that are relevant to the content of this article.
Additional information
Technical Editor: Erick Franklin.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ge, H., Chen, J. & Zhu, R. Investigation of ultrasonic cavitation noise induced near elastic solid boundaries with different elastic modulus. J Braz. Soc. Mech. Sci. Eng. 44, 366 (2022). https://doi.org/10.1007/s40430-022-03682-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40430-022-03682-w