Abstract

Dragonflies are dramatic, successful aerial predators, notable for their flight agility and endurance. Further, they are highly capable of low-speed, hovering and even backwards flight. While insects have repeatedly modified or reduced one pair of wings, or mechanically coupled their fore and hind wings, dragonflies and damselflies have maintained their distinctive, independently controllable, four-winged form for over 300 Myr. Despite efforts at understanding the implications of flapping flight with two pairs of wings, previous studies have generally painted a rather disappointing picture: interaction between fore and hind wings reduces the lift compared with two pairs of wings operating in isolation. Here, we demonstrate with a mechanical model dragonfly that, despite presenting no advantage in terms of lift, flying with two pairs of wings can be highly effective at improving aerodynamic efficiency. This is achieved by recovering energy from the wake wasted as swirl in a manner analogous to coaxial contra-rotating helicopter rotors. With the appropriate fore–hind wing phasing, aerodynamic power requirements can be reduced up to 22 per cent compared with a single pair of wings, indicating one advantage of four-winged flying that may apply to both dragonflies and, in the future, biomimetic micro air vehicles.

Highlights

  • Dragonflies are capable of a diversity of flight techniques, including effective gliding, powerful ascending flight, tandem flight during copulation, low-speed manoeuvring and hovering

  • Aerodynamic efficiency is represented by the ‘figure of merit’ (FoM), a special case of ‘propeller efficiency’ used for hovering helicopters

  • It is tempting to conclude that aerodynamic efficiency would always be reduced when wings operate in tandem

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Summary

INTRODUCTION

Dragonflies are capable of a diversity of flight techniques, including effective gliding, powerful ascending flight, tandem flight during copulation, low-speed manoeuvring and hovering. A wide range of phase relationships have been described between fore and hind wings (Norberg 1975; Alexander 1984; Reavis & Luttges 1988; Wakeling & Ellington 1997a; Wang et al 2003; Thomas et al 2004). Flow visualizations around flapping dragonfly models (Saharon & Luttges 1987, 1988, 1989) demonstrate the potential for interaction between the fore wing wakes and the hind wing, resulting in a range of possible consequences including the fusing of vortices and possible lift enhancement; their implications in terms of power and efficiency are not clear. We use a mechanical model ‘hovering’ dragonfly to revisit the efficiency implications of phase on hovering with flapping, tandem wings

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