Role of inertia in two-dimensional deformation and breakup of a droplet

Details Role of inertia in two-dimensional deformation and breakup of a droplet Role of inertia in two-dimensional deformation and breakup of a droplet

2002-12-20

arxiv.org/abs/cond-mat/0212540v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.68.045301

We investigate by Lattice Boltzmann methods the effect of inertia on the deformation and break-up of a two-dimensional fluid droplet surrounded by fluid of equal viscosity (in a confined geometry) whose shear rate is increased very slowly. We give evidence that in two dimensions inertia is {\em necessary} for break-up, so that at zero Reynolds number the droplet deforms indefinitely without breaking. We identify two different routes to breakup via two-lobed and three-lobed structures respectively, and give evidence for a sharp transition between these routes as parameters are varied.

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