Sound and Shock Waves in Liquids Containing Bubbles

Crespo, Arturo Furones

doi:10.1063/1.1692343

Cited by 99 publications

(36 citation statements)

References 3 publications

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“…This equation coincides with the known result (Wijngaarden, 1972; see also Wood (1941), Crespo (1969) and Silberman (1957)) for monodisperse (monosized) bubbly mixtures. As follows from equation (32), the size distribution of the bubbles does not influence the low-frequency dispersion, which is governed solely by the volume concentration of free gas.…”

Section: Effect Of Size-distributed Bubblessupporting

confidence: 81%

Effect of size‐distributed bubbles on acoustic properties of an elastic tube with polymeric liquid

Levitsky

Bergman²,

Haddad³

2012

Multidiscipline Modeling in Materials and Structures

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Purpose -The objective of this study is to model the influence of free gas, in the form of size-distributed fine bubbles, on sound attenuation and dispersion in a thin-walled elastic cylindrical tube filled with viscoelastic polymeric liquid. Design/methodology/approach -Sound wave propagation in the system is described within a three-phase interaction scheme, based on a quasi-homogeneous approach to liquid-gas mixture dynamics in the wave. Coupled equations of tube wall deformations and viscoelastic liquid dynamics in the tube are solved using a long-wave approximation. The dissipative losses, stemming from flow gradients in the wave, as well as from non-equilibrium bubble-liquid interaction, are accounted for. The dispersion equation for the waveguide is obtained and studied numerically. Findings -The results of the study indicate that bubble-size distribution in viscoelastic liquid has an essential impact on sound propagation in the tube at sufficiently high frequencies. The frequency range in which the mixture heterogeneity influences the acoustic properties of the system is sensitive to both the distribution parameters and the rheological properties of the liquid. As distinct to polydispersity features, the viscoelastic properties of liquid are also relevant in the low-frequency range, where they lead to an increase of the wave speed and a decrease of its attenuation. Originality/value -A model of sound wave propagation in a tube filled with a heterogeneous viscoelastic liquid-bubble mixture is formulated. The study provides a basis for modeling transient processes in tubes filled with polymeric liquids containing free gas, and for acoustic control of certain processes in polymer technologies.

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Section: Effect Of Size-distributed Bubblessupporting

confidence: 81%

Effect of size‐distributed bubbles on acoustic properties of an elastic tube with polymeric liquid

Levitsky

Bergman²,

Haddad³

2012

Multidiscipline Modeling in Materials and Structures

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show abstract

“…This makes such mixtures compressible and susceptible to shocking under certain flow conditions. Such mixtures can experience abrupt changes in the local void fraction due to the propagation of condensation shocks (Crespo 1969;Noordzij & Van Wijngaarden 1974;Brennen 2005), and bubbly shock propagation has been related to the collapse of shed cavitation clouds (Reisman, Wang & Brennen 1998). In the present study, we have observed bubbly shocks within the separated region of the partial cavity and related the shock propagation to the shedding cycle of cavitation clouds in a mechanism which is distinct from the classically described re-entrant jet.…”

mentioning

confidence: 58%

Bubbly shock propagation as a mechanism for sheet-to-cloud transition of partial cavities

2016

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Partial cavitation in the separated region forming from the apex of a wedge is examined to reveal the flow mechanism responsible for the transition from stable sheet cavity to periodically shedding cloud cavitation. High-speed visualization and time-resolved X-ray densitometry measurements are used to examine the cavity dynamics, including the time-resolved void-fraction fields within the cavity. The experimentally observed time-averaged void-fraction profiles are compared to an analytical model employing free-streamline theory. From the instantaneous void-fraction flow fields, two distinct shedding mechanisms are identified. The classically described re-entrant flow in the cavity closure is confirmed as a mechanism for vapour entrainment and detachment that leads to intermittent shedding of smaller-scale cavities. But, with a sufficient reduction in cavitation number, large-scale periodic cloud shedding is associated with the formation and propagation of a bubbly shock within the high void-fraction bubbly mixture in the separated cavity flow. When the shock front impinges on flow at the wedge apex, a large cloud is pinched off. For periodic shedding, the speed of the front in the laboratory frame is of the order of half the free-stream speed. The features of the observed condensation shocks are related to the average and dynamic pressure and void fraction using classical one-dimensional jump conditions. The sound speed of the bubbly mixture is estimated to determine the Mach number of the cavity flow. The transition from intermittent to transitional to strongly periodic shedding occurs when the average Mach number of the cavity flow exceeds that required for the generation of strong shocks.

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“…The aim of the test performed here is twofold: the first is to further validate convergence of the computed solutions obtained using our multicomponent algorithm to the correct weak ones, and the second is to provide an example that shows the feasibility of the algorithm as applied to practical problems. We note that this problem is of practical importance to many applications in sciences and engineering (see [6,8,16] and references therein for more information).…”

Section: Fig 10mentioning

confidence: 99%

A Fluid-Mixture Type Algorithm for Compressible Multicomponent Flow with van der Waals Equation of State

Shyue

1999

Journal of Computational Physics

124

170

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Sound and Shock Waves in Liquids Containing Bubbles

Cited by 99 publications

References 3 publications

Effect of size‐distributed bubbles on acoustic properties of an elastic tube with polymeric liquid

Effect of size‐distributed bubbles on acoustic properties of an elastic tube with polymeric liquid

Bubbly shock propagation as a mechanism for sheet-to-cloud transition of partial cavities

A Fluid-Mixture Type Algorithm for Compressible Multicomponent Flow with van der Waals Equation of State

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