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Streaming controlled by meniscus shape

Surface waves called meniscus waves often appear in the systems that are close to the capillary length scale. Since the meniscus shape determines the form of the meniscus waves, the resulting streaming circulation has a structure distinct from that caused by other capillary-gravity waves recently reported in the literature. In the present study, we produce symmetric and antisymmetric meniscus shapes by controlling boundary wettability and excite meniscus waves by oscillating the meniscus vertically. The symmetric and antisymmetric configurations produce different surface capillary-gravity wave modes and streaming flow structures. The energy density of the streaming circulation increases at the rate of the fourth power of the forcing amplitude in both configurations. The flow symmetry of streaming circulation is retained under the symmetric meniscus, while it is lost under the antisymmetric meniscus. In our experiments, the streaming circulation primarily originates from the Stokes boundary layer beneath the meniscus and can be successfully explained using the existing streaming theory.

preprint2019arXivOpen access
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