Abstract

This paper is associated with a video winner of a 2018 American Physical Society's Division of Fluid Dynamics (DFD) Milton van Dyke Award for work presented at the DFD Gallery of Fluid Motion. The original video is available online at the Gallery of Fluid Motion, https://doi.org/10.1103/APS.DFD.2018.GFM.V0070.

Highlights

  • A viscous fluid flowing down the underside of a tilted plane substrate develops complex patterns

  • The flow rate per unit length q is homogeneous along the slit and we impose the overall flow rate Q = qLi

  • In the absence of imposed forcing, the pattern is selected by amplification of ambient noise

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Summary

EXPERIMENTAL SETUP

The experiment consists of a glass plate of 35 × 60 cm with its large side forming an angle θ with gravity and its short side being horizontal. A viscous fluid (silicon oil of viscosity μ = 1 Pa s) is injected at the top on the underside of the substrate through a thin horizontal slit of width Li = 27 cm. The flow rate per unit length q is homogeneous along the slit and we impose the overall flow rate Q = qLi. The two primary parameters are the angle and the flow rate (θ , Q). The flow rate is kept between 0.5 and 2.5 mL s−1 and the angle between 20◦ and 60◦. Note that in all experimental pictures, the flow direction is top-down.

TEMPORAL OR SPATIAL FORCING
TEMPORAL AND SPATIAL FORCING
SHADOWGRAPH

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