Instabiity and Encapsulation of a Compound Liquid Jet

Yoshinaga, Takao; Maeda, Michiko

doi:10.1299/jfst.4.324

Cited by 4 publications

(7 citation statements)

References 20 publications

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“…Moreover, a two-step finite difference scheme was used to study the effects of key parameters on breakup and drop formation. Other related studies are reported by Radev and Gospodinov [17], Yoshinaga and Maeda [24] and Yoshinaga and Yamamoto [25].…”

Section: Introductionsupporting

confidence: 57%

Effects of gravity on the breakup and instability of a viscous compound jet

Afzaal

Uddin

Decent

et al. 2015

J. Phys. A: Math. Theor.

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Encapsulated droplet formation resulting from the rupture and breakup of a compound liquid thread has numerous applications in industry. Understanding the process through which a compound thread will breakup and form droplets of a desired size is thus of great relevance and may help in developing refined experimental techniques. In this paper, we investigate the breakup and the instability of a viscous compound thread falling under gravity. The governing equations are formulated and a reduced one-dimensional set of equations is obtained using an asymptotic approach. The steady-state solutions, which are dependent on the axial distance along the thread, are determined using a modified Newton's method. Thereafter, we present a linear temporal instability analysis to study the effects of how key parameters affect the structure and onset of rupture. Finally, we investigate the nonlinear behaviour of waves along the free surface through using a finite difference scheme based on the Lax-Wendroff method and we obtain the breakup times and the sizes of main and satellite droplets.

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Section: Introductionsupporting

confidence: 57%

Effects of gravity on the breakup and instability of a viscous compound jet

Afzaal

Uddin

Decent

et al. 2015

J. Phys. A: Math. Theor.

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“…Resulting from this, we can determine the critical frequencies ω c which minimize t b for each parameters φ, η, Wb, Re, and σ. Such frequencies ω c are the most unstable input frequency in the sense of nonlinearity and we have shown they can well predict the natural formation periods of shells for the gas-cored jet (6) . This is expected to be still valid for the liquid-cored jet.…”

Section: Numerical Resultsmentioning

confidence: 76%

“…Later, Yoshinaga (6) showed that natural shell formation frequencies observed in the experiment for the gas-cored jet (3) are well predicted by using the most unstable frequencies of input disturbances which make the breakup time minimum. Although the above analysis was performed for an inviscid jet, it is not only preferable to consider the liquid viscosity for more precise analysis, but also the viscous effect is significantly important on the interface between the core and the annular phase for the liquid-cored jet.…”

Section: Introductionmentioning

confidence: 96%

Nonlinear Instability and Breakup of a Viscous Compound Liquid Jet

Yoshinaga

Yamamoto

2011

JFST

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We analytically examine nonlinear instabilities and breakup phenomena of a viscous compound liquid jet which consists of a core and a surrounding annular phase. Applying the long wave approximation to both phases, a set of reduced nonlinear equations is derived for large deformations of the jet. Breakup phenomena are numerically examined when sinusoidal disturbances are fed at the end of the semi-infinite jet. Typical breakup profiles are shown for surface tension ratios and Reynolds numbers. In particular, for sufficiently small Reynolds numbers, the core phase is found to be choked at a bottle neck when the jet is pinching, which is followed by the ballooning of the annular phase in the upstream. It is shown that there exit the most unstable frequencies of input disturbances for each parameters of the surface tension, viscosity and amplitudes of disturbances. From variations of the breakup time and distance for such frequencies, it is expected that there exist critical Weber numbers, above which the jet becomes convectively unstable and below which absolutely unstable.

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“…Rou et al [17] have considered the three-dimensional linear instability of a viscous compound jet moving in an inviscid surrounding gas. Yoshinaga and Maeda [18] have simulated inviscid compound thread rupture and compared their results to the experimental work of Hertz and Hermanrud [5]. The inclusion of surfactants on the instability of compound threads has been considered by a number of authors (see, for example, Kwak and Pozrikidis [19]).…”

Section: Introductionmentioning

confidence: 99%

Breakup of inviscid compound liquid jets falling under gravity

Uddin¹,

Decent²

2010

J. Phys. A: Math. Theor.

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In this paper, we examine the instability of an axisymmetric inviscid compound liquid jet (subject to axisymmetric disturbances) emerging from a concentric tube and falling vertically under the effects of gravity. We formulate the governing equations and then use a slender jet approximation to consider a one-dimensional model of jet breakup. We determine the steady-state solutions of a falling compound jet. We then numerically simulate breakup and droplet formation using an explicit two-step finite difference scheme. The effects of changing the surface tension and density ratio between the inner and outer fluids is investigated, as is the effect of altering the Froude number.

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Instabiity and Encapsulation of a Compound Liquid Jet

Cited by 4 publications

References 20 publications

Effects of gravity on the breakup and instability of a viscous compound jet

Effects of gravity on the breakup and instability of a viscous compound jet

Nonlinear Instability and Breakup of a Viscous Compound Liquid Jet

Breakup of inviscid compound liquid jets falling under gravity

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