Hydrodynamics of median-fin interactions in fish-like locomotion: Effects of fin shape and movement

Abstract

Recent studies have shown that by utilizing the interactions among median fins (the dorsal, anal, and caudal fins), fishes can achieve higher propulsion performance at the caudal fin. This work aims at a systematic study of the effects of dorsal/anal fin shape and flapping phase on the hydrodynamic performance due to median-fin interactions (MFI) in underwater propulsion using a three-dimensional bluegill sunfish model. Flow simulations were conducted on stationary Cartesian grids using an immersed-boundary-method-based incompressible Navier-Stokes flow solver. The results showed that, due to the collision between the posterior body vortices (PBVs) and caudal fin leading edge vortices (LEVs), the latter is strengthened. As a result, the thrust and efficiency of the caudal fin are improved simultaneously, by 25.6% and 29.2%, respectively. Increases in the dorsal/anal fin area result in stronger caudal fin LEVs, and thus further caudal fin performance enhancement. On the other hand, changing the dorsal/anal fin flapping phase affects the collision time between the PBVs and the LEVs, and results in caudal fin performance changes. Phase-leading dorsal and anal fins are found to improve caudal fin efficiency, whereas phase-lag dorsal and anal fins maintain caudal fin thrust at a higher level. Compared to trunk-synchronized dorsal and anal fins, 60° phase-leading dorsal and anal fins increase the propulsive efficiency of the caudal fin from 77.9% to 90.1%. In addition, it is found that the presence of the dorsal and anal fins greatly reduces drag on the fish body by preventing the PBVs from crossing the body midline and debilitating interactions between the left- and right-stroke PBVs. Results of this work improve our understanding of MFI in fishlike swimming and demonstrate the benefits of optimal MFI for the design of high-performance bioinspired underwater vehicles.