Cavitation over solid surfaces: microbubble collapse, shock waves, and elastic response

We discuss the interaction of the strongly nonlinear fluid motion induced by the collapse of a vapor microbubble over a planar surface and the elastic dynamics of the underlying solid. The fluid is described using an extension of the Navier-Stokes equations endowed with distributed capillary stresse...

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Published inMeccanica (Milan) Vol. 58; no. 6; pp. 1109 - 1119
Main Authors Abbondanza, Dario, Gallo, Mirko, Casciola, Carlo Massimo
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2023
Springer Nature B.V
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Abstract We discuss the interaction of the strongly nonlinear fluid motion induced by the collapse of a vapor microbubble over a planar surface and the elastic dynamics of the underlying solid. The fluid is described using an extension of the Navier-Stokes equations endowed with distributed capillary stresses in the context of a diffuse interface approach. The collapse of the bubble is triggered by overpressure in the liquid and leads to an intense jet that pierces the bubble, changing the bubble topology from spheroidal to toroidal, and impinges the solid wall inducing an intense and strongly localized load. Moreover, at bubble collapse, a compression wave is launched into the liquid surrounding the bubble. By propagating along the solid surface, the compression wave combined with the liquid jet excites the dynamics of the elastic solid, producing a complex system of waves, including, longitudinal, transversal, and Rayleigh waves, propagating in the solid. It is conjectured that the intense deformation of the solid induced by the strongly localized liquid jet may lead to the plastic deformation of the solid producing the surface pitting observed in many applications subject to cavitation-induced material damage.
AbstractList We discuss the interaction of the strongly nonlinear fluid motion induced by the collapse of a vapor microbubble over a planar surface and the elastic dynamics of the underlying solid. The fluid is described using an extension of the Navier-Stokes equations endowed with distributed capillary stresses in the context of a diffuse interface approach. The collapse of the bubble is triggered by overpressure in the liquid and leads to an intense jet that pierces the bubble, changing the bubble topology from spheroidal to toroidal, and impinges the solid wall inducing an intense and strongly localized load. Moreover, at bubble collapse, a compression wave is launched into the liquid surrounding the bubble. By propagating along the solid surface, the compression wave combined with the liquid jet excites the dynamics of the elastic solid, producing a complex system of waves, including, longitudinal, transversal, and Rayleigh waves, propagating in the solid. It is conjectured that the intense deformation of the solid induced by the strongly localized liquid jet may lead to the plastic deformation of the solid producing the surface pitting observed in many applications subject to cavitation-induced material damage.
Author Gallo, Mirko
Casciola, Carlo Massimo
Abbondanza, Dario
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  givenname: Mirko
  orcidid: 0000-0003-3395-2246
  surname: Gallo
  fullname: Gallo, Mirko
  organization: Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, School of Architecture, Technology and Engineering, University of Brighton
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  givenname: Carlo Massimo
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  surname: Casciola
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  email: carlomassimo.casciola@uniroma1.it
  organization: Department of Mechanical and Aerospace Engineering, Sapienza University of Rome
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Cavitation
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– reference: Gakenheimer, D.: Response of an elastic half space to expanding surface loads (1971)
– reference: MagalettiFPicanoFChinappiMMarinoLCasciolaCMThe sharp-interface limit of the cahn-hilliard/navier-stokes model for binary fluidsJ Fluid Mech201371495126300805510.1017/jfm.2012.4611284.76116
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– reference: VincentOMarmottantPQuinto-SuPAOhlC-DBirth and growth of cavitation bubbles within water under tension confined in a simple synthetic treePhys Rev Lett20121081818450210.1103/PhysRevLett.108.184502
– reference: BiancofioreLGiacopiniMDiniDInterplay between wall slip and cavitation: a complementary variable approachTribol Int201913732433910.1016/j.triboint.2019.04.040
– reference: Stripling, L., Acosta, A.: Cavitation in turbopumps-part 1 (1962)
– reference: PlessetMSProsperettiABubble dynamics and cavitationAnnual Rev Fluid Mech1977914518510.1146/annurev.fl.09.010177.0010450418.76074
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– reference: MagalettiFMarinoLCasciolaCMShock wave formation in the collapse of a vapor nanobubblePhys Rev Lett2015114606450110.1103/PhysRevLett.114.064501
– reference: AndersonDMMcFaddenGBWheelerAADiffuse-interface methods in fluid mechanicsAnnual Rev Fluid Mech1998301139165160962610.1146/annurev.fluid.30.1.1391398.76051
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– reference: BrennenCECavitation and bubble dynamics2014CambridgeCambridge University Press1302.76002
– reference: RayleighLViii. on the pressure developed in a liquid during the collapse of a spherical cavityLondon, Edinburgh, Dublin Philosoph Magazine J Sci191734200949810.1080/1478644080863568146.1274.01
– reference: Abbondanza D, Gallo M, Casciola CM (2022) Collapse of micro bubbles over an elastoplastic wall. To appear
– reference: MagalettiFGalloMMarinoLCasciolaCMShock-induced collapse of a vapor nanobubble near solid boundariesInt J Multiphase Flow2016843445350928910.1016/j.ijmultiphaseflow.2016.02.012
– reference: HughesTJThe finite element method: linear static and dynamic finite element analysis2012USACourier Corporation
– reference: MagalettiFGalloMCasciolaCMWater cavitation from ambient to high temperaturesScientif Rep2021111110
– reference: DowsonDTaylorCCavitation in bearingsAnnual Rev Fluid Mech1979111356510.1146/annurev.fl.11.010179.000343
– reference: OcchiconeASinibaldiGDanzNCasciolaCMMichelottiFCavitation bubble wall pressure measurement by an electromagnetic surface wave enhanced pump-probe configurationAppli Phys Lett20191141313410110.1063/1.5089206
– reference: GalloMMagalettiFCasciolaCMHeterogeneous bubble nucleation dynamicsJ Fluid Mech202190686417671810.1017/jfm.2020.7611461.76456
– reference: ScognamiglioCMagalettiFIzmaylovYGalloMCasciolaCMNoblinXThe detailed acoustic signature of a micro-confined cavitation bubbleSoft matter201814397987799510.1039/C8SM00837J
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Snippet We discuss the interaction of the strongly nonlinear fluid motion induced by the collapse of a vapor microbubble over a planar surface and the elastic dynamics...
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SubjectTerms Automotive Engineering
Cavitation
Civil Engineering
Classical Mechanics
Collapse
Complex systems
Compression waves
Engineering
Longitudinal waves
Mechanical Engineering
Overpressure
Plastic deformation
Rayleigh waves
Shock waves
Solid surfaces
Topology
Wave propagation
Title Cavitation over solid surfaces: microbubble collapse, shock waves, and elastic response
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https://www.proquest.com/docview/2827963033
Volume 58
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