Hydrodynamic loads and vortex evolution from a bio-inspired pectoral fin near a solid body

TL;DR

This study investigates hydrodynamic loads and vortex behavior of a bio-inspired pectoral fin in a water tunnel, revealing complex vortex dynamics and load scaling related to flapping parameters.

Contribution

It provides new insights into vortex evolution and hydrodynamic load scaling for a fin-body system with dynamic flapping motions.

Findings

Hysteresis observed in hydrodynamic loads during fin flapping.

Vortex orbiting behaviors occur at higher Strouhal numbers.

Hydrodynamic loads scale with quadratic and nonlinear terms of Strouhal number.

Abstract

A fin-body configuration is tested in a water tunnel to study the hydrodynamic loads and vortex evolution under dynamic fin-flapping motions, which is an idealized approximation of the pectoral fins of fish. The fin flaps about its leading edge, which is attached to the side of the body, at a range of combinations of amplitudes ($0^\circ-30^\circ$) and frequencies ($0.25\,\mathrm{Hz}-2\,\mathrm{Hz}$ or $k=0.16-1.26$), so the Strouhal number ($St=0.013-0.419$). The quasi-steady hydrodynamic loads exhibit significant hysteresis during the upstroke and downstroke phases of the fin flapping. Particle image velocimetry (PIV) measurements show the details of the shear layer and vortex development in dynamic flapping cases. Orbiting behaviors of the fin tip vortices are observed in larger Strouhal number cases. PIV results also reveal the influence of vortices on hydrodynamic loads in terms of lift fluctuations and thrust generation. The strong dependency on the reduced frequency and Strouhal number leads to scalings of the hydrodynamic loads using a data-driven method to select highly correlated terms. The most significant terms selected by the scaling process are quadratic terms of the Strouhal number and its nonlinear combinations with the reduced frequency.