Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 38: Fluid Dynamics
DY 38.1: Vortrag
Mittwoch, 29. März 2006, 16:45–17:00, SCH 251
Asymptotic theory for a moving droplet driven by a wettability gradient — •Uwe Thiele1 and Len M. Pismen2 — 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany — 2Department of Chemical Engineering and Minerva Center for Nonlinear Physics of Complex Systems, Technion – Israel Institute of Technology, Haifa 32000, Israel
An asymptotic theory is developed for a moving drop driven by a wettability gradient [1]. We distinguish the mesoscale where an exact solution is known for the properly simplified problem [2]. 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 in analogy to [3]. Matching gives the droplet shape, velocity of movement as a function of the imposed wettability gradient and droplet volume.
[1] L. M. Pismen and U. Thiele, preprint at http://arXiv.org/abs/physics/ 0509260.
[2] B. R. Duffy and S. K. Wilson, Appl. Math. Lett. 10, 63-68 (1997).
[3] J. Eggers, Phys. Rev. Lett. 93, 094502 (2004).