A numerical study of the behaviour of a gas–liquid interface subjected to periodic vertical motion

Valha, J.; Lewis, J S; Kubie, J.

doi:10.1002/fld.370

Cited by 8 publications

(4 citation statements)

References 7 publications

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“…In addition to comparing their linear stability predictions with those of Benjamin & Ursell (1954) and Kumar & Tuckerman (1994), they calculated instantaneous surface profiles and velocity fields, as well as the temporal evolution and spectrum. Valha et al (2002) examined the response of a liquid layer in a vertical cylindrical vessel using the MAC (Marker-and-Cell) method of Harlow & Welch (1965). Surface tension was treated by the continuum surface force model of Brackbill, Kothe & Zemach (1992).…”

Section: Historical Introductionmentioning

confidence: 99%

“…Investigation of the full nonlinear viscous problem, however, requires numerical simulations, of which there have been very few up to now, specifically those of Chen & Wu (2000), Chen (2002), Murakami & Chikano (2001), Valha, Lewis & Kubie (2002), Ubal, Giavedoni & Saita (2003) and O'Connor (2008). With the exception of O'Connor (2008), all previous simulations have been two-dimensional.…”

Section: Historical Introductionmentioning

confidence: 99%

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Numerical simulation of Faraday waves

2009

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We simulate numerically the full dynamics of Faraday waves in three dimensions for two incompressible and immiscible viscous fluids. The Navier-Stokes equations are solved using a finite-difference projection method coupled with a front-tracking method for the interface between the two fluids. The domain of calculation is periodic in the horizontal directions and bounded in the vertical direction by two rigid horizontal plates. The critical accelerations and wavenumbers, as well as the temporal behaviour at onset are compared with the results of the linear Floquet analysis of Kumar and Tuckerman [J. Fluid Mech. 279, 49-68 (1994)]. The finite amplitude results are compared with the experiments of Kityk et al. [Phys. Rev. E 72, 036209 (2005)]. In particular we reproduce the detailed spatiotemporal spectrum of both square and hexagonal patterns within experimental uncertainty

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Section: Historical Introductionmentioning

confidence: 99%

Section: Historical Introductionmentioning

confidence: 99%

Numerical simulation of Faraday waves

2009

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“…The process of vibration mixing of high-viscosity liquid and solid particles is inherently complex and includes the flow of three phases: solid, liquid and gas. Under vibration excitation, the materials in the container move relatively, causing consequential changes to the gas-liquid free surface, which significantly influences the flow field in the mixing process [30,31].…”

Section: Numerical Simulationmentioning

confidence: 99%

Mixing Characteristics and Parameter Effects on the Mixing Efficiency of High-Viscosity Solid–Liquid Mixtures under High-Intensity Acoustic Vibration

Zhan

Jiang

et al. 2023

Processes

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High-intensity acoustic vibration is a new technology for solving the problem of uniform dispersion of highly viscous materials. In this study, we investigate the mixing characteristics of high-viscosity solid–liquid phases under high-intensity acoustic vibration and explore the effect of vibration parameters on the mixing efficiency. A numerical simulation model of solid–liquid–gas multiphase flow, employing the volume of fluid (VOF) and discrete phase model (DPM), was developed and subsequently validated through experimental verification. The results show that the movement and deformation of the gas–liquid surface over the entire field are critical for achieving rapid and uniform mixing of the solid–liquid phases under acoustic vibration. Increasing the amplitude or frequency of vibration can intensify the movement and deformation of the free surface of gas and liquid, improve the mixing efficiency, and shorten the mixing time. Under the condition of constant acceleration, the mixing efficiency of materials is higher at low frequency and high amplitude. Further, we define a relationship that predicts desirable mixing conditions as a function of amplitude and frequency. This serves as a valuable reference guide for evaluating the minimum requirements when selecting operating parameters.

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“…Modulating behavior of primary wave modes in a particular parameter range and in time scales much longer than the underlining wave periods was reported. Valha et al [359] performed a numerical study to examine the behavior of a gas liquid interface in a 090801-36 / Vol. 137, SEPTEMBER 2015…”

Section: Three-and Multifrequency Parametric Excitationmentioning

confidence: 99%

Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems

Ibrahim

2015

Journal of Fluids Engineering

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Liquid parametric sloshing, known also as Faraday waves, has been a long standing subject of interest. The development of the theory of Faraday waves has witnessed a number of controversies regarding the analytical treatment of sloshing modal equations and modes competition. One of the significant contributions is that the energy is transferred from lower to higher harmonics and the nonlinear coupling generated static components in the temporal Fourier spectrum, leading to a contribution of a nonoscillating permanent sinusoidal deformed surface state. This article presents an overview of different problems of Faraday waves. These include the boundary value problem of liquid parametric sloshing, the influence of damping and surfactants on the stability and response of the free surface, the weakly nonlinear parametric and autoparametric sloshing dynamics, and breaking waves under high parametric excitation level. An overview of the physics of Faraday wave competition together with pattern formation under single-, two-, three-, and multifrequency parametric excitation will be presented. Significant effort was made in order to understand and predict the pattern selection using analytical and numerical tools. Mechanisms for selecting the main frequency responses that are different from the first subharmonic one were identified in the literature. Nontraditional sources of parametric excitation and Faraday waves of ferromagnetic films and ferrofluids will be briefly discussed. Under random parametric excitation and g-jitter, the behavior of Faraday waves is described in terms of stochastic stability modes and spectral density function.

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A numerical study of the behaviour of a gas–liquid interface subjected to periodic vertical motion

Cited by 8 publications

References 7 publications

Numerical simulation of Faraday waves

Numerical simulation of Faraday waves

Mixing Characteristics and Parameter Effects on the Mixing Efficiency of High-Viscosity Solid–Liquid Mixtures under High-Intensity Acoustic Vibration

Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems

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