Meandering rivulets on a plane: a simple balance between inertia and capillarity?

Details Meandering rivulets on a plane: a simple balance between inertia and capillarity? Meandering rivulets on a plane: a simple balance between inertia and capillarity?

2005-10-11

arxiv.org/abs/physics/0510089v2

Physical Review Letters 96 (29/06/2006) 254503

Physics

Fluid Dynamics

4 pages, 4 figures, exp\'{e}rience+mod\`{e}le

Scientific paper

10.1103/PhysRevLett.96.254503

Experiments on streams of water flowing down a rigid substrate have been performed for various plate inclinations and flow rates, and we focused on the regime of stationary meanders. The outcome is that (i) the flow is highly hysteretic : the shape of the meanders varies with flow rate only for increasing flow rates, and the straight rivulet regime does not appear for decreasing flow rate. (ii) A simple force balance, including inertia, capillary forces, and also hysteresis of wetting, accounts well for the experimental instability threshold flow rate and for the final radius of curvature of the meanders.

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