Controlling Mixing Inside a Droplet by Time Dependent Rigid-body Rotation

Details Controlling Mixing Inside a Droplet by Time Dependent Rigid-body Rotation Controlling Mixing Inside a Droplet by Time Dependent Rigid-body Rotation

2008-09-22

arxiv.org/abs/0809.3728v1

IMECE2008-68026

Physics

Fluid Dynamics

6 pages, 6 figures

Scientific paper

The use of microscopic discrete fluid volumes (i.e., droplets) as microreactors for digital microfluidic applications often requires mixing enhancement and control within droplets. In this work, we consider a translating spherical liquid droplet to which we impose a time periodic rigid-body rotation which we model using the superposition of a Hill vortex and an unsteady rigid body rotation. This perturbation in the form of a rotation not only creates a three-dimensional chaotic mixing region, which operates through the stretching and folding of material lines, but also offers the possibility of controlling both the size and the location of the mixing. Such a control is achieved by judiciously adjusting the three parameters that characterize the rotation, i.e., the rotation amplitude, frequency and orientation of the rotation. As the size of the mixing region is increased, complete mixing within the drop is obtained.

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