Dynamical Pattern Formation of an Evaporating Drop

Takaki, Ryuji; Yoshiyasu, Nobuo; Arai, Yoji; Adachi, Ken

doi:10.1007/978-94-009-3757-4_10

Cited by 7 publications

(4 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If the nonlinear terms neglected in our analysis are treated properly, it could be possible to predict a variety of phenomena including the mode in Batchelor's analysis (1993). Moreover, it may be possible to describe random fluctuations in particle cluster formation observed in the experiments (Fortes et al (1987); Takaki et al (1993)). This is planned for future work.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Fortes et al (1987) conducted experiments on fluidization of spherical particles with water, and found that horizontal array of particles was more stable than streamwise array and that horizontal arrays form aggregations of close-packed spheres. Takaki et al (1993) observed random cluster formation of particles in a two-dimensional fluidized bed. Batchelor and Nitsche ( 1991 ) and Batchelor (1993) studied the linear stability of a stationary fluid with nonuniform particle density which varies sinusoidally with small amplitude and wavenumber K in the vertical direction, where superposed disturbance is sinusoidal in a horizontal direction with wavenumber a.…”

Section: Introductionmentioning

confidence: 94%

See 1 more Smart Citation

Linear stability of a two-dimensional uniform fluidized bed

Hirayama

Takaki

1995

Fluid Dyn. Res.

View full text Add to dashboard Cite

Basic equations in a two-dimensional fluidized bed are constructed for the particle and the fluid phases, and linear stability to two-dimensional disturbances of the volume fractions and the velocities of both phases is analyzed. The diffusion of particles and an effective viscosity in the particle phase are considered. It was found that the inertia term due to the average fluid velocity is responsible for the instability, while the particle diffusion and the effective particle viscosity suppress the growth of disturbances. It was also found that the most unstable state has a vertical wavenumber vector.

show abstract

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 94%

Linear stability of a two-dimensional uniform fluidized bed

Hirayama

Takaki

1995

Fluid Dyn. Res.

View full text Add to dashboard Cite

show abstract

“…Fortes et al (1987) conducted an experimental fluidization of spherical particles in water, and found that horizontal arrays of close-packed particles were formed. Takaki et al (1993) observed random cluster formation of particles in a two-dimensional fluidized bed.…”

Section: Introductionmentioning

confidence: 94%

Numerical analysis of nonlinear stability of a two-dimensional uniform fluidized bed: Part 1. Numerical check of linear stability

Hirayama

Takaki

1996

Fluid Dyn. Res.

View full text Add to dashboard Cite

Development of two-dimensional disturbances of the volume fractions and the velocities of particle and fluid phases in a uniform fluidized bed is analyzed numerically. Nonlinear governing equations for the disturbances are constructed based on the two-fluid model and applied to a small-amplitude disturbance in order to examine the results of linear stability analysis. Assumed initial disturbances include variations in both the vertical and horizontal directions, where the latter is assumed much smaller than the former. It was found that the asymptotic behavior of numerical solutions agrees with the results of linear analysis of our previous paper.

show abstract

“…Despite the large amount of work done over the last decades on nonevaporating liquid drop oscillation, to the best of authors' knowledge only few papers can be found in the open scientific literature addressing the effect of evaporation on oscillating drops [27][28][29], and the few available experimental data-sets do not report all the necessary information for model comparison.…”

Section: Introductionmentioning

confidence: 99%

An evaporation model for oscillating spheroidal drops

Tonini

Cossali

2014

International Communications in Heat and Mass Transfer

View full text Add to dashboard Cite

This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues. Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are

show abstract

Dynamical Pattern Formation of an Evaporating Drop

Cited by 7 publications

References 5 publications

Linear stability of a two-dimensional uniform fluidized bed

Linear stability of a two-dimensional uniform fluidized bed

Numerical analysis of nonlinear stability of a two-dimensional uniform fluidized bed: Part 1. Numerical check of linear stability

An evaporation model for oscillating spheroidal drops

Contact Info

Product

Resources

About