Fluid dynamics, scaling laws and plesiosaur locomotion

The evolutionary success of plesiosaurs has led to much attention regarding the dynamics of their locomotion. They exhibit identical tandem flippers, which is unique among all living and extinct species. However, these tandem flippers have been a source of debate regarding plesiosaurs' locomotion and behavior. Here we propose a new approach to studying plesiosaur locomotion based on universal scaling laws in fluid dynamics, which were used to estimate reduced frequency to characterize unsteadiness of an airfoil. It was found that, while the reduced frequency of plesiosaurs with high-aspect ratio flippers is similar to that of sea turtles, the most commonly used living analog, lower aspect ratio plesiosaurs were more similar in reduced frequency to penguins. This implies that plesiosaurs may have had large variations in agility among themselves, depending in particular on the specimen's flipper aspect ratio. While our results are consistent with the previous literature indicating a relationship between plesiosaur neck length and agility, our work supports broad and diverse analogies to living animals. Moreover, based on our results, cruising reduced frequency has some predictive value into manoeuvring behavior, rather than simply cruising behavior.