Mode selection on breakup of a droplet falling into a miscible solution

Michiko Shimokawa, Hidetsugu Sakaguchi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

When a droplet with a relatively high density falls into a miscible solution with a relatively low density, the droplet breaks up spontaneously. We investigated the number m of breakup in experiments with several density differences Δρ between two solutions, viscosities μ, and droplet radii r. The mode number m has a distribution even under the same experimental conditions. We propose a simple model of mode selection based on the linear Rayleigh-Taylor instability and the growing radius of a vortex ring deformed from the droplet. The model provides the probability distribution P(m) and a relationship between the nondimensional parameter GΔρgr3/μ2 and the average value of m, which are consistent with experimental results.

Original languageEnglish
Article number013603
JournalPhysical Review Fluids
Volume4
Issue number1
DOIs
Publication statusPublished - Jan 1 2019

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Drop breakup
Breakup
Droplet
Radius
Vortex Ring
Viscosity Solutions
Rayleigh
Probability Distribution
Probability distributions
Vortex flow
Experimental Results
Viscosity
Model
Experiment
Experiments

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Modelling and Simulation
  • Fluid Flow and Transfer Processes

Cite this

Mode selection on breakup of a droplet falling into a miscible solution. / Shimokawa, Michiko; Sakaguchi, Hidetsugu.

In: Physical Review Fluids, Vol. 4, No. 1, 013603, 01.01.2019.

Research output: Contribution to journalArticle

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