Dresden 2011 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 40: Posters II

DY 40.6: Poster

Donnerstag, 17. März 2011, 17:00–19:00, P3

Drawn meniscus in a precursor film model — •Mariano Galvagno and Uwe Thiele — Department of Mathematical Sciences, Loughborough University, Loughborough, LE11 3TU, UK

Dragging a flat plate out of a liquid bath may deposit a liquid film on it - a technique widely used in coating processes. To control the deposition one needs to understand the velocity-dependent shape of the meniscus. At high velocities U a macroscopic film is deposited – corresponding to the classical Landau-Levich problem [1]. For small U only a microscopic precursor film is deposited. Recent studies employ a slip model for contact line motion to discuss meniscus shapes and steady films of finite length [2].

We study the system with a precursor film model based on a Derjaguin pressure that describes partially wetting. As in [2] we find steady menisci at small U up to a saddle-node bifurcation at a limiting U_c. Depending on the inclination angle, in a small region below U_c, multiple steady solutions may exist. They correspond to menisci with a finite film-like ’foot’. The solution branches and the limits of the region of multiple steady solutions are traced employing numerical continuation [3].

We acknowledge support by the EU (PITN-GA-2008-214919).

[1] L. Landau, B. Levich, Acta Physicochim. URSS 17, 42 (1942) [2] J. H. Snoeijer et al., J. Fluid Mech. 579, 63 (2007); J. Ziegler et al., J. Eur. Phys. J. Special Topics 166, 177 (2009) [3] E. Doedel et. al, Int. J. Bifurcation Chaos, 1, 493 (1991); P. Beltrame, U. Thiele, SIAM J. Appl. Dyn. Syst. 9, 484 (2010)