1,721,029 research outputs found

    Jet formation from bubbles near a solid boundary in a compressible liquid: Numerical study of distance dependence

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    A small spherical bubble of high internal pressure is inserted into water at constant ambient pressure as a model of a laser-induced bubble. Its subsequent dynamics near a flat solid boundary is studied in dependence on the distance of the bubble to the boundary by numerically solving the Navier-Stokes equations with the help of the open source software environment OpenFOAM. Implemented is the finite-volume method for discretization of the equations of motion and the volume-of-fluid method for capturing the interface between the bubble interior and exterior. The bubble contains a small amount of noncondensable gas that is treated as an ideal gas. The liquid is water obeying the Tait equation. Surface tension is included where necessary. The evolution of the bubble shape and a selection of pressure and velocity fields are given for normalized distances D∗=D/Rmax between 0 and 3 (D is the initial distance of the bubble center to the boundary and Rmax is the maximum radius the bubble would attain without any boundary). The value Rmax= 500 μm is chosen for the study. Normal axial-jet formation (∼100 m/s) by axial flow focusing is found for 0.24≤D∗≤3 and the change to a different type of axial-jet formation (∼1000 m/s) by annular-liquid-flow collision for bubbles very close to the solid boundary (0≤D∗≤0.2). The transition region (0.2<D∗<0.24) is characterized by additional inbound and outbound annular jets. Remarkably, the inclusion of the viscosity of the water is decisive to get the fast jets

    Fast, thin jets from bubbles expanding and collapsing in extreme vicinity to a solid boundary: A numerical study

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    A bubble expanding and collapsing in water near a flat solid boundary is studied numerically. According to current knowledge, it develops a high-speed liquid jet towards the boundary of typically ∼100 m/s. However, the character of jet formation and the jet properties alter strongly when the bubble expands and collapses very close to a solid boundary. In this case, a much thinner and much faster jet of typically ∼1000 m/s is generated. The respective mechanism is demonstrated by solving the Navier-Stokes equations for a model of a laser-induced bubble. The results add substantially to the understanding of the erosion process caused by imploding cavitation bubbles near solid boundaries

    Ring Vortex Dynamics Following Jet Formation of a Bubble Expanding and Collapsing Close to a Flat Solid Boundary Visualized via Dye Advection in the Framework of OpenFOAM

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    A bubble expanding and collapsing near a solid boundary develops a liquid jet toward the boundary. The jet leaves a torus bubble and induces vortices in the liquid that persist long after the bubble oscillations have ceased. The vortices are studied numerically in axial symmetry and compared to experiments in the literature. The flow field is visualized with different methods: vorticity with superimposed flow-direction arrows for maps at a time instant and colored-liquid-layer flow-field maps (dye advection) for following the complete long-term fluid flow up to a chosen time since bubble generation. Bubbles with equal energy—maximum radius in a free liquid Rmax∞= 500 µm—are studied for different distances Dinit from the solid boundary. The interval of normalized distances D* = Dinit/Rmax∞ from 0.4 to 1.8 is covered. Two types of vortices were reported in experiments, one moving toward the solid boundary and one moving away from it. This finding is reproduced numerically with higher resolution of the flow field and in more detail. The higher detail reveals that the two types of vortices have different rotation directions and coexist with individually varying vorticity amplitude throughout the interval studied. In a quite narrow part of the interval, the two types change their strength and extent with the result of a reversal of the dominating rotational direction of the fluid flow. Thereby, the experimentally found transition interval could be reproduced and refined. It is interesting to note that in the vortex transition interval, the erosion of a solid surface is strongly augmented

    Bubble models and real bubbles: Rayleigh and energy-deposit cases in a Tait-compressible liquid

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    In analytical and numerical studies on bubbles in liquids often the Rayleigh initial condition of a spherical bubble at maximum radius is used, the Rayleigh case. This condition cannot be realized in practice, instead the bubbles need first to be generated and expanded. The energy-deposit case with its initial condition of a small, spherical bubble of high internal pressure that expands into water at atmospheric pressure is studied for comparison with the Rayleigh case. From the many possible configurations a single bubble near a flat solid boundary is chosen as this is a basic configuration to study erosion and cleaning phenomena. The bubble contains a small amount of non-condensable gas obeying an adiabatic law. The water is compressible according to the Tait equation. The Euler equations in axial symmetry are solved with the help of the open source software package OpenFOAM, based on the finite volume method. The volume of fluid method is used for interface capturing. Rayleigh bubbles of Rmax=500μR_{\rm max} = 500\,\mum and energy-deposit bubbles that reach Rmax=500μR_{\rm max} = 500\,\mum after expansion in an unbounded liquid are compared with respect to microjet velocity, microjet impact pressure and microjet impact times, when placed or being generated near a flat solid boundary. Velocity and pressure fields from the impact zone are given to demonstrate the sequence of phenomena from axial liquid microjet impact via annular gas-jet- and annular liquid-nanojet formation to the Blake splash and the first torus-bubble splitting. Normalized distances D=D/RmaxD^* = D/R_{\rm max} (DD = initial distance of the bubble centre from the boundary) between 1.02 and 1.5 are studied. Rayleigh bubbles show a stronger collapse with about 50\% higher microjet impact velocities and also significantly higher microjet impact pressures

    Pressure and tension waves from bubble collapse near a solid boundary: A numerical approach

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    The acoustic waves being generated during the motion of a bubble in water near a solid boundary are calculated numerically. The open source package OpenFOAM is used for solving the Navier-Stokes equation and extended to include nonlinear acoustic wave effects via the Tait equation for water. A bubble model with a small amount of gas is chosen, the gas obeying an adiabatic law. A bubble starting from a small size with high internal pressure near a flat, solid boundary is studied. The sequence of events from bubble growth via axial microjet formation, jet impact, annular nanojet formation, torus-bubble collapse, and bubble rebound to second collapse is described. The different pressure and tension waves with their propagation properties are demonstrated

    A new transition between discrete and continuous self-similarity in critical gravitational collapse

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    We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) ? models. As the dimensionless coupling constant decreases, the critical solution changes from discretely self-similar (DSS) to continuously self-similar (CSS). Numerical results provide evidence for a bifurcation which is analogous to a heteroclinic loop bifurcation in dynamical systems, where two fixed points (CSS) collide with a limit cycle (DSS) in phase space as the coupling constant tends to a critical value

    Numerical modeling of laser generated cavitation bubbles with the finite volume and volume of fluid method, using OpenFOAM

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    Laser generated cavitation bubbles are numerically modeled with the finite volume method using the open source software package OpenFOAM. The alterations applied to the native code are described and validated by solving the spherical bubble collapse problem and comparing the solution with the Gilmore model and experiments. Problems of spherical stability and their connection with the mesh are discussed. Shock wave emission upon laser bubble generation and bubble collapse is modeled by inserting the Tait equation for the liquid (water) into the code. The results are compared with calculations by Hickling and Plesset and experiments. The calculations are extended to the problem of cavitation bubble collapse in front of a solid boundary. (C) 2015 Elsevier Ltd. All rights reserved

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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