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Jan 2007

Volume 19, Issue 1, Articles (01xxxx)

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back to top Interfacial Flows

An energy balance approach of the dynamics of drop impact on a solid surface

P. Attané, F. Girard, and V. Morin

Phys. Fluids 19, 012101 (2007); http://dx.doi.org/10.1063/1.2408495 (17 pages) | Cited 22 times

Online Publication Date: 9 January 2007

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The description of physical mechanisms involved in the impact of a drop upon a dry, partially wettable substrate is still a matter of debate. One way to analyze the balance of these mechanisms is the development of an analytical one-dimensional (1D) model based upon the energy equation. The assimilation of the drop to a cylinder allows a reduction of the energy equation to a second-order differential equation. This paper proposes a semi-empirical description of viscous dissipation taking into account the rolling motion near the contact line. The dissipation due to the rolling motion is added to the calculated dissipation in the core of the droplet. We compare our model to previous ones using a large set of literature data covering a wide range of viscosity, velocity impact, and equilibrium contact angle values. The new dissipation description proposed is shown to supersede those described in previous 1D models. Our model closely predicts the maximum spread factor and the time at which it is obtained on the whole range of Ohnesorge and Weber numbers considered. It also distinguishes between deposition with a steady variation in the wetted area from deposition with advancing and receding phases. The main limitations of the model lie in its inability to reproduce the spread factor at the very beginning of the impact and the rebounding observed after a receding phase for very high values of the equilibrium contact angle.
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47.55.dr Interactions with surfaces
47.55.np Contact lines
47.55.nd Spreading films
47.85.Dh Hydrodynamics, hydraulics, hydrostatics
68.08.Bc Wetting
68.03.Cd Surface tension and related phenomena

Stationary coaxial electrified jet of a dielectric liquid surrounded by a conductive liquid

F. J. Higuera

Phys. Fluids 19, 012102 (2007); http://dx.doi.org/10.1063/1.2431188 (9 pages) | Cited 8 times

Online Publication Date: 12 January 2007

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The electrohydrodynamic problem describing the evolution of a coaxial jet of two immiscible Newtonian liquids injected through concentric orifices into a region of uniform electric field is formulated in the framework of the leaky dielectric model, and the dimensionless parameters governing the flow are identified. A simplified model is proposed combining a quasi-uni-directional approximation for the flow and the transport of electric charge with a fully numerical evaluation of the electric field. Results of this model are compared with boundary element solutions of the full governing equations for viscosity-dominated flows. The current/flow rate characteristic of a coaxial viscosity-dominated jet is computed and the ranges of flow rates in which a stationary axisymmetric jet is realized are discussed in the case of an outer liquid of finite electrical conductivity surrounding a dielectric liquid, in which the electric shear that stretches the jet is concentrated at its outer surface. The dependence of the flow on the applied electric field and the flow rates of the liquids, as well as the effects of the viscosity and electrical conductivity of the inner liquid, and of the surface tension of the inner surface, are discussed.
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47.65.-d Magnetohydrodynamics and electrohydrodynamics
47.15.Uv Laminar jets

Dynamic wetting of shear thinning fluids

G. K. Seevaratnam, Y. Suo, E. Ramé, L. M. Walker, and S. Garoff

Phys. Fluids 19, 012103 (2007); http://dx.doi.org/10.1063/1.2432107 (9 pages) | Cited 6 times

Online Publication Date: 18 January 2007

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The impact of non-Newtonian behavior on dynamic wetting is critical since many fluids exhibit such behavior somewhere in the high-shear environment inherent in the wedge flow near a moving contact line. This impact will be different for two broad categories of non-Newtonian behavior, shear thinning, and elasticity. In this paper, we discuss the steady-state wetting of a fluid, aqueous solutions of xanthan gum, dominated by shear thinning but with negligible elasticity. In the shear thinning fluid, viscous bending near the contact line is greatly reduced compared to a Newtonian fluid having the same zero-shear viscosity. Concomitant with this reduction in viscous bending, the effective dynamic contact angle has a much weaker dependence on capillary number, Ca, than is observed in, or predicted for, Newtonian fluids. A simple lubrication model using a constitutive relation with power-law shear thinning at high shear rates and a Newtonian plateau at low shear rates mimics the trends seen in our data and elucidates the origins of the reduced viscous bending.
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47.55.nd Spreading films
68.08.Bc Wetting
66.20.-d Viscosity of liquids; diffusive momentum transport

Mechanisms of free-surface breakup in vibration-induced liquid atomization

Bojan Vukasinovic, Marc K. Smith, and Ari Glezer

Phys. Fluids 19, 012104 (2007); http://dx.doi.org/10.1063/1.2434799 (15 pages) | Cited 9 times

Online Publication Date: 25 January 2007

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The mechanisms of droplet formation that take place during vibration-induced drop atomization are investigated experimentally. Droplet ejection results from the breakup of transient liquid spikes that form following the localized collapse of free-surface waves. Breakup typically begins with capillary pinch-off of a droplet from the tip of the spike and can be followed by additional pinch-offs of satellite droplets if the corresponding capillary number is sufficiently small (e.g., in low-viscosity liquids). If the capillary number is increased (e.g., in viscous liquids), breakup first occurs near the base of the spike, with or without subsequent breakup of the detached, thread-like spike. The formation of these detached threads is governed by a breakup mechanism that is separated from the tip-dominated capillary pinch-off mechanism by an order of magnitude in terms of dimensionless driving frequency f*. The dependence of breakup time and unbroken spike length on fluid and driving parameters is established over a broad range of dimensionless driving frequencies (10−3<f*<1). It is also shown that the droplet-ejection acceleration threshold mathc of low-viscosity liquids depends on the dimensionless drop diameter math. Moreover, in the limit math ≥ 20, the droplet-ejection threshold becomes independent of math (mathc ≈ 4). This limit state is described by a scaling equivalent to that of Goodridge, Shi, and Lathrop [Phys. Rev. Lett. 76, 1824 (1996) ] derived for the onset of droplet ejection from Faraday waves. It is shown in the present study that the acceleration threshold in this limit scales like acf4/3(σ/ρ)1/3.
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47.55.db Drop and bubble formation
68.03.Kn Dynamics (capillary waves)
47.35.-i Hydrodynamic waves
47.55.df Breakup and coalescence

Deformations of thin liquid spherical shells in liquid-liquid-gas systems

Satoyuki Kawano, Atsushi Shirai, and Shohei Nagasaka

Phys. Fluids 19, 012105 (2007); http://dx.doi.org/10.1063/1.2429070 (11 pages) | Cited 4 times

Online Publication Date: 29 January 2007

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Deformation characteristics of a millimeter-sized thin liquid spherical shell moving at intermediate Reynolds numbers in immiscible liquid are investigated both numerically and experimentally. Experiments are made using the novel principle of sequential production of the shell developed by the authors. Numerical results of the flow pattern around the liquid shell, deformation ratio, and the drag coefficient are compared to experimental results for wide flow conditions. They are in reasonable agreement from the viewpoint of practical engineering. Furthermore, effects of shell deformation on heat transfer characteristics are also investigated numerically. The present research provides the fluid dynamical knowledge for various applications of liquid spherical shells.
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47.55.Ca Gas/liquid flows
47.54.Bd Theoretical aspects
47.27.te Turbulent convective heat transfer
47.85.Np Fluidics
62.10.+s Mechanical properties of liquids
02.60.Cb Numerical simulation; solution of equations

Direct simulation of film boiling including electrohydrodynamic forces

Samuel W. J. Welch and Gautam Biswas

Phys. Fluids 19, 012106 (2007); http://dx.doi.org/10.1063/1.2433995 (11 pages) | Cited 6 times

Online Publication Date: 31 January 2007

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This paper presents simulations of film boiling including electrohydrodynamic forces. The coupled level-set and volume-of-fluid interface tracking method is augmented with a mass transfer model, a model for surface tension, and electrohydrodynamic force terms. The bulk fluids are perfect dielectrics—viscous, heat conducting, and incompressible. We explore film boiling on a horizontal surface and we consider the effect of an applied electric potential. The electrodynamic equation for the evolving electric field is solved in both phases during saturated horizontal film boiling, and the effects are described.
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64.70.F- Liquid-vapor transitions
47.65.-d Magnetohydrodynamics and electrohydrodynamics
68.03.Cd Surface tension and related phenomena
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