期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 209, 期 1-4, 页码 117-134出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2005.06.019
关键词
thin films; fluid dynamics; thermocapillary valve; Marangoni forcing; lubrication theory
We consider the use of localized Marangoni forcing to produce a thermocapillary microfluidic valve that allows us to control the downstream flow of a thin film of viscous fluid. To this end, we analyze the influence of this localized forcing on a flow driven by a combination of uniform Marangoni stresses and gravity in a one-dimensional model. Long-time solutions approach states that can be categorized in two classes, where the film thickness downstream of the forcing is: (1) determined by the upstream thickness, or (11) controlled by the forcing amplitude. The type 11 solutions are stable stationary hydraulic jumps for thin films. We give careful attention to the relation between the forcing and the downstream film flow for the resulting bi-stable solutions. We include a comparison of the one-dimensional theory with two-dimensional computations and experimental results. (c) 2005 Elsevier B.V. All rights reserved.
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