Stokes flow near the contact line of an evaporating drop

Details Stokes flow near the contact line of an evaporating drop Stokes flow near the contact line of an evaporating drop

2011-11-29

arxiv.org/abs/1111.6752v1

Physics

Fluid Dynamics

submitted to J Fluid Mech

Scientific paper

The evaporative flux from a droplet is diverging in the vicinity of the contact line. Therefore, the description of the flow inside an evaporation drop has remained a challenge. Here, we focus on the asymptotic behaviour near the contact line, by analytically solving the Stokes equations in a wedge geometry of arbitrary contact angle. The flow field is described by similarity solutions, with exponents that match the singular boundary condition due to evaporation. We demonstrate that for small contact angles, the velocity field is very accurately described by the lubrication approximation. For larger contact angles, the flow separates into regions where the flow is reversing towards the drop centre. Finally, we discuss the typical pressure in the vicinity of the contact line and the regularization of the evaporative singularity.

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