The effect of high viscosity on compressible and incompressible Rayleigh–Plesset-type bubble models

Hegedűs, Ferenc; Koch, Sandra; Garen, W.; Pandula, Zoltán; Paál, György; Kullmann, Lajos; Teubner, U.

doi:10.1016/j.ijheatfluidflow.2013.04.004

Cited by 35 publications

(13 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…al. [61] observed stable bubble oscillations even at equilibrium bubble radius R E = 0.1 mm in highly viscous glycerine. In case of very high viscosity, however, the effect of µ L can become dominant, which may cause much higher threshold value for conditions (28) and (29) than R E = 5 µm.…”

Section: The Linear Resonance Frequency Of the Bubblementioning

confidence: 84%

Classification of the bifurcation structure of a periodically driven gas bubble

Varga

Hegedűs

2016

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

The bifurcation structure of a periodically driven spherical gas/vapour bubble is examined by means of methods of nonlinear analysis. The study of Behnia and his coworkers [1] revealed that the bifurcation structures with the pressure amplitude of the excitation as control parameter are structurally similar provided that R E ω is kept constant. In the present paper, this problem is revisited. Analytical and numerical investigations of the bubble oscillator, which is the Keller-Miksis equation, are presented. It is shown that the validity range of Behnia's condition is governed by the viscosity and the surface tension, and holds only for relatively large bubbles. In water, the effect of viscosity is negligible, and the surface tension plays significant role at bubble size lower than approximately 5 µm.

show abstract

Section: The Linear Resonance Frequency Of the Bubblementioning

confidence: 84%

Classification of the bifurcation structure of a periodically driven gas bubble

Varga

Hegedűs

2016

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

show abstract

“…Assuming an infinitely homogeneous liquid region, the motion characteristics of a single bubble after cavitation inception are investigated. Based on the law of mass conservation, Raleigh derived the dynamic equation of cavitation bubbles without the consideration of fluid surface tension and viscosity item [19,20]. Rayleigh-Plesse equation can be written in Equation 2:…”

Section: Bubble Evolution and Cavitation Mechanismmentioning

confidence: 99%

Cavitation Simulation and Mechanism Analysis of Underwater Jet of Cleaning Equipment for Aquaculture Fishing Net

Yuan¹,

Xiao-hua²,

Hu³

et al. 2019

Preprint

View full text Add to dashboard Cite

In order to reveal the mechanism and influencing factors of high pressure jet cavitation of nozzle in submerged environment, this study focused on the evolutionary process of cavitation bubbles and combined finite volume method and mixed multi-phase flow model to analyze the cavitation, velocity distribution and experimental cavitation intensity of fishing net cleaning equipment. Results show that the cavitation inception, growth and collapse mainly occurred in the peripheral region of the flow field. Ring-shaped cavitation erosion zone appeared on the test sample target. A lot of small dense erosion pits were densely distributed in the ring-shaped erosion zone, erosion marks were observed in the center. The cavitation erosion intensity was greatly affected by the nozzle structure. As the diameter of nozzle increased from 0.6 mm to 1 mm, the maximum gas volume fraction increased by 8.53%. The nozzle outlet enlargement angle greatly increased the cavitation intensity. The nozzle with an outlet angle of 30° exhibited the optimal cavitation erosion performance . The cavitation volume fraction of the nozzle with short necking structure was slightly larger than that of the nozzle with long necking structure at the same level in the necking length rang of 3mm to 7mm. In terms of the influence of nozzle structure on the cavitation erosion effect, the nozzle diameter D ranked the first, followed by the outlet angle α, and the necking length L was at the last.

show abstract

“…Different and more sophisticated variants of equation (5.9) are available in the literature to take into account other effects, such as: the evaporation and diffusion flow rates of vapour and gas through the bubble walls [79,103,104], temperature discontinuity at the bubble surface between the aeriform constituents and the liquid phase [105], the kinematic slip condition between the liquid and vapour phases [105,106] as well as liquid compressibility [107,108]. The temperature, pressure and velocity differences between the different phases can be simulated in two-phase models, in which a Rayleigh-Plesset-type equation is coupled to the mass and momentum conservation and partial differential equations for each distinct phase [11].…”

Section: (A) the Rayleigh-plesset Equation For Single-bubble Dynamicsmentioning

confidence: 99%

Fluid dynamics of acoustic and hydrodynamic cavitation in hydraulic power systems

Ferrari¹

2017

Proc. R. Soc. A.

View full text Add to dashboard Cite

Cavitation is the transition from a liquid to a vapour phase, due to a drop in pressure to the level of the vapour tension of the fluid. Two kinds of cavitation have been reviewed here: acoustic cavitation and hydrodynamic cavitation. As acoustic cavitation in engineering systems is related to the propagation of waves through a region subjected to liquid vaporization, the available expressions of the sound speed are discussed. One of the main effects of hydrodynamic cavitation in the nozzles and orifices of hydraulic power systems is a reduction in flow permeability. Different discharge coefficient formulae are analysed in this paper: the Reynolds number and the cavitation number result to be the key fluid dynamical parameters for liquid and cavitating flows, respectively. The latest advances in the characterization of different cavitation regimes in a nozzle, as the cavitation number reduces, are presented. The physical cause of choked flows is explained, and an analogy between cavitation and supersonic aerodynamic flows is proposed. The main approaches to cavitation modelling in hydraulic power systems are also reviewed: these are divided into homogeneous-mixture and twophase models. The homogeneous-mixture models are further subdivided into barotropic and baroclinic models. The advantages and disadvantages of an implementation of the complete Rayleigh-Plesset equation are examined.

show abstract

The effect of high viscosity on compressible and incompressible Rayleigh–Plesset-type bubble models

Cited by 35 publications

References 31 publications

Classification of the bifurcation structure of a periodically driven gas bubble

Classification of the bifurcation structure of a periodically driven gas bubble

Cavitation Simulation and Mechanism Analysis of Underwater Jet of Cleaning Equipment for Aquaculture Fishing Net

Fluid dynamics of acoustic and hydrodynamic cavitation in hydraulic power systems

Contact Info

Product

Resources

About