Interfacial instabilities of miscible fluids in a rotating Hele-Shaw cell

Ching-Yao Chen*, Shu Wei Wang

*Corresponding author for this work

Research output: Contribution to journalArticle

24 Scopus citations


Numerical simulations of interfacial stability for miscible droplet in a rotating Hele-Shaw cell by means of high-accurate numerical schemes are presented. The interfacial instability is dominated by four control parameters, such as rotating speed, viscosity contrast, diffusion between the species and injecting strength. More vigorous interfacial fingerings are found at higher rotating speed and lower viscosity contrast. The effect of stronger diffusion is not significant to the fingering patterns, but leads only to milder instability. Injection in general reinforces viscous stabilization. For the case of annulus, different mechanisms of instability are observed on the inner and outer fronts. The injecting strength tends to stabilize the outer interface, and perturbs the inner.

Original languageEnglish
Pages (from-to)315-330
Number of pages16
JournalFluid Dynamics Research
Issue number5
StatePublished - 1 May 2002


  • Hele-Shaw cell
  • Interfacial instability
  • Numerical simulation
  • Rotational flow

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