Journal ArticleDOI
Long slender drops in a simple shear flow
E. J. Hinch,Andreas Acrivos +1 more
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In this article, the authors studied the viscous motion of a long slender drop placed in a simple shear flow, the drop having a low viscosity compared with that of the suspending fluid.Abstract:
We study theoretically the slow viscous motion of a long slender drop placed in a simple shear flow, the drop having a low viscosity compared with that of the suspending fluid. As a simplifying approximation, the cross-section of the drop is taken to be circular. An equilibrium shape with the drop nearly aligned with the flow is found for all shear rates, although the equilibrium is only stable to small disturbances for shear rates below some critical value. The stable equilibria just below the critical shear rate are found to be accessible only if the shear rate is increased slowly.read more
Citations
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Nonlinear dynamics and breakup of free-surface flows
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Nanoemulsions: formation, structure, and physical properties
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TOPICAL REVIEW: Nanoemulsions: formation, structure, and physical properties
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An experimental investigation of drop deformation and breakup in steady, two-dimensional linear flows
B. J. Bentley,L. G. Leal +1 more
TL;DR: In this article, the deformation and burst of small fluid droplets in steady linear, two-dimensional motions of a second immiscible fluid were investigated using a computer-controlled, four-roll mill to investigate the effect of flow type.
Journal ArticleDOI
An experimental study of transient effects in the breakup of viscous drops
TL;DR: In this paper, a computer-controlled four-roll mill is used to examine two transient modes of deformation of a liquid drop: elongation in a steady flow and interfacial-tension-driven motion which occurs after the flow is stopped abruptly.
References
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Journal ArticleDOI
The deformation of a drop in a general time-dependent fluid flow
TL;DR: In this paper, a theoretical method for the determination of the shape of a fluid drop in steady and unsteady flows by making an expansion in terms of the drop deformation is given.
Journal ArticleDOI
Particle motions in sheared suspensions XXVII. Transient and steady deformation and burst of liquid drops
S Torza,R.G Cox,S. G. Mason +2 more
TL;DR: In this article, it was shown that drop burst depends more upon the rate of increase of the velocity gradient G up to the critical value GB at burst than upon the drop/medium viscosity ratio λ.
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Deformation and breakup of a single slender drop in an extensional flow
Andreas Acrivos,T. S. Lo +1 more
TL;DR: In this paper, the deformation and conditions for a single slender drop placed symmetrically in a uniaxial extensional flow are examined theoretically, and a unique solution is obtained according to which a steady shape cannot exist if (Gμa/γ) (μi/μ)⅙ > 0·148, where required for drop breakup is found as a function of the dimensionless group
Journal ArticleDOI
Pointed bubbles in slow viscous flow
TL;DR: In this paper, the shape of the bubble is determined using slender-body theory, and it is found that these bubbles have pointed ends, in agreement with well-established experimental results.
Journal ArticleDOI
Steady long slender droplets in two-dimensional straining motion
E. J. Hinch,Andreas Acrivos +1 more
TL;DR: In this paper, the authors extended the analysis of Acrivos & Lo (1978) concerning the breakup of a long slender droplet in an axisymmetric straining motion to the case of a two-dimensional hyperbolic flow.