Common principles at work in swimming have been revealed by experts in a new study. Using simple hydrodynamics, a team of researchers led by Professor L. Mahadevan showed that a handful of principles govern how virtually every animal, from the tiniest fish to birds to gigantic 100 feet long whales propel themselves though the water.
In an effort to uncover those common principles, the researchers began by trying to unpack the physics of how different creatures swim.
AdvertisementMattia Gazzola, postdoctoral researcher in the team group, said that they thought if a unifying mechanistic principle existed, it had to lie in the constraints that the flow environment posed to all its inhabitants.
Mahadevan explained that the they found a specific relationship, which could be described by in terms of a simple scaling law with two limits.
The first, which corresponded to creatures moving at intermediate speeds, describes situations where the bulk of the resistance was caused by skin friction, because water "stuck" to the organism's body. At faster speeds, the resistance organisms face largely came from pressure that built up in front of and around them, which was described by the second limit.
Armed with those observations, Mahadevan and colleagues turned to a host of empirical observations that had been made over the past 50-plus years. When those data were plotted on a graph, the researchers found that the swimming speed of virtually every organism, from fish larvae to frogs to birds, amphibians and even whales, could be described by one of the two equations.
The same also held true, Mahadevan said, when Gazzola created complex computer models to solve the governing equations of fluid dynamics to describe how different organisms swim.
Mahadevan concluded that their simple theory, which didn't distinguish in any detailed way between something like a blue whale and fish larvae, except in the parameters of how large they were, movement and speed. That suggested there were general principles at work while swimming.
The study is published in Nature Physics.
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