Classification of vortex patterns of oscillating foils in side-by-side configurations

TL;DR

This paper investigates vortex patterns behind oscillating side-by-side foils, introduces a new model to classify wake types, and reveals how wake merging enhances propulsion efficiency through vortex interaction mechanisms.

Contribution

A novel flow model based on fundamental variables is proposed to distinguish vortex patterns and elucidate wake merging physics in oscillating foil configurations.

Findings

Identified three vortex wake patterns: separated, merged, transitional-merged.

Developed a quantitative model to classify vortex patterns.

Wake merging increases thrust and efficiency via high-momentum jets.

Abstract

The unsteady hydrodynamics of two in-phase pitching foils arranged in side-by-side (parallel) configurations is examined for a range of Strouhal number and separation distance. Three distinct vortex patterns are identified in the Strohual number-separation distance phase maps, which include separated wake, merged wake, and transitional-merged wake. Furthermore, a novel model is introduced based on fundamental flow variables including velocity, location, and circulation of dipole structures to quantitatively distinguish vortex patterns in the wake. The physical mechanism of wake merging process is also elucidated. When an oscillating foil experiences the jet deflection phenomenon, secondary structures shed from the primary street traverse in the other direction by making an angle with its parent vortex street. For parallel foils, secondary structures from the vortex street of the lower foil interact with the primary vortex street of the upper foil under certain kinematic conditions. This interaction triggers the wake merging process by influencing circulation of coherent structures in the upper part of the wake. It is unveiled that merging of the wakes leads to enhancements in propulsive efficiency by increasing thrust generation without a significant alteration in power requirements. These are attributed to the formation of a high-momentum jet by the merged vortex street, which possesses significantly larger circulation due to the amalgamation of the vortices, and major alterations in the evolution of leading edge vortices. Thus, flow physics that are thoroughly explored here are crucial in providing novel insights for future development of flow control techniques for efficient designs of bio-inspired underwater propulsors.