Asymptotic theory for a moving droplet driven by a wettability gradient

Details Asymptotic theory for a moving droplet driven by a wettability gradient Asymptotic theory for a moving droplet driven by a wettability gradient

2005-09-30

arxiv.org/abs/physics/0509260v1

Physics

Fluid Dynamics

8 figs

Scientific paper

10.1063/1.2191015

An asymptotic theory is developed for a moving drop driven by a wettability gradient. We distinguish the mesoscale where an exact solution is known for the properly simplified problem. This solution is matched at both -- the advancing and the receding side -- to respective solutions of the problem on the microscale. On the microscale the velocity of movement is used as the small parameter of an asymptotic expansion. Matching gives the droplet shape, velocity of movement as a function of the imposed wettability gradient and droplet volume.

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