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We examine theoretically the flow interactions and forward flight dynamics of tandem or in-line flapping wings. Two wings are driven vertically with prescribed heaving-and-plunging motions, and the horizontal propulsion speeds and positions…

Fluid Dynamics · Physics 2026-05-13 Fang Fang , Christiana Mavroyiakoumou , Leif Ristroph , Michael J. Shelley

V-shaped and echelon formations help migratory birds to consume less energy for migration. As the case study, the formation flight of the Northern Bald Ibises is considered to investigate different effects on their flight efficiency. The…

Quantitative Methods · Quantitative Biology 2020-05-19 Amir Mirzaeinia , Mehdi Mirzaeinia , Mostafa Hassanalian

Saving energy and enhancing performance are secular preoccupations shared by both nature and human beings. In animal locomotion, flapping flyers or swimmers rely on the flexibility of their wings or body to passively increase their…

Biological Physics · Physics 2011-08-30 Sophie Ramananarivo , Ramiro Godoy-Diana , Benjamin Thiria

Collective locomotion of swimming and flying animals is fascinating in terms of individual-level fluid mechanics and group-level structure and dynamics. Here we bridge and relate these scales through a model of formation flight that views…

Fluid Dynamics · Physics 2025-06-18 Christiana Mavroyiakoumou , Jiajie Wu , Leif Ristroph

Hummingbirds and insects achieve outstanding flight performance by adapting their flapping motion to the flight requirements. Their wing kinematics can change from smooth flapping to highly dynamic waveforms, generating unsteady aerodynamic…

Fluid Dynamics · Physics 2024-08-07 Romain Poletti , Andre Calado , Lilla K. Koloszar , Joris Degroote , Miguel A. Mendez

Compared with fixed-wing flight, flapping flight can generate a higher lift and is also more maneuverable, largely resulting from the benefits of wing rotation. By analyzing the real wing kinematics of fruit flies, we found that the wing…

Fluid Dynamics · Physics 2019-06-19 Yang Xiang , Haotian Hang , Hong Liu

Wing flexibility plays an essential role in the aerodynamic performance of insects due to the considerable deformation of their wings during flight under the impact of inertial and aerodynamic forces. These forces come from the complex wing…

Fluid Dynamics · Physics 2020-07-20 Hung Truong , Thomas Engels , Dmitry Kolomenskiy , Kai Schneider

Long arrays of identical, self-propelling flapping flyers are inherently unstable and thus unlikely to exist without active control mechanisms. One approach to enable long in-line formations is to enforce a constant separation between the…

Fluid Dynamics · Physics 2026-01-21 Javier Chico-Vázquez , Christiana Mavroyiakoumou

Insects use flight muscles attached at the base of the wings to produce impressive wing flapping frequencies. The maximum power output of these flight muscles is insufficient to maintain such wing oscillations unless there is good elastic…

Fluid Dynamics · Physics 2016-07-20 Yangyang Huang , Eva Kanso

Biological flapping wing fliers operate efficiently and robustly in a wide range of flight conditions and are a great source of inspiration to engineers. The unsteady aerodynamics of flapping-wings are dominated by large-scale vortical…

Fluid Dynamics · Physics 2020-12-09 Alexander Gehrke , Karen Mulleners

Medium and large insects in normal hovering have horizontal, planar up- and downstrokes1-4. The lift of the two half-strokes, generated by the leading-edge vortex, provides the weight-supporting vertical force. But for small insects (wing…

Biological Physics · Physics 2018-09-24 Yu Zhu Lyu , Hao Jie Zhu , Mao Sun

Wing articulation is critical for efficient flight of bird- and bat-sized animals. Inspired by the flight of $\textit{Cynopterus brachyotis}$, the lesser short-nosed fruit bat, we built a two-degree-of-freedom flapping wing platform with…

Fluid Dynamics · Physics 2024-11-05 Xiaozhou Fan , Alberto Bortoni , Siyang Hao , Sharon Swartz , Kenneth Breuer

Flying animals resort to fast, large-degree-of-freedom motion of flapping wings, a key feature that distinguishes them from rotary or fixed-winged robotic fliers with limited motion of aerodynamic surfaces. However, flapping-wing…

Fluid Dynamics · Physics 2021-08-11 Yagiz E. Bayiz , Bo Cheng

Why do birds fly in well-defined formations? The observed formations of birds-in-flight are studied with a thermal model. Avian formation-flying is tested as a self-organization process. The maximum entropy production rate (MEPR) postulate…

Biological Physics · Physics 2022-04-08 Jainagesh Akkaraju Sekhar

Flapping-wing insects, birds, and robots are thought to offset the high power cost of oscillatory wing motion by using elastic elements for energy storage and return. Insects possess highly resilient elastic regions in their flight anatomy…

Biological Physics · Physics 2020-12-11 James Lynch , Jeffrey Gau , Simon Sponberg , Nick Gravish

The aerial flocking of birds, or murmurations, has fascinated observers while presenting many challenges to behavioral study and simulation. We examine how the periphery of murmurations remain well bounded and cohesive. We also investigate…

Quantitative Methods · Quantitative Biology 2024-07-22 Rama Carl Hoetzlein

The aerial environment in the operating domain of small-scale natural and artificial flapping wing fliers is highly complex, unsteady and generally turbulent. Considering flapping flight in an unsteady wind environment with a periodically…

This paper investigates stability analysis of flapping flight. Due to time-varying aerodynamic forces, such systems do not display fixed points of equilibrium. The problem is therefore approached via a limit cycle analysis based on Floquet…

The large active wing deformation is a significant way to generate high aerodynamic forces required in bat flapping flight. Besides the twisting, the elementary morphing models of a bat wing are proposed, such as wing-bending in the…

Fluid Dynamics · Physics 2015-05-15 Guan Zi-Wu , Yu Yong-Liang

Hovering insects are limited by their physiology and need to rotate their wings at the end of each back and forth motion to keep the wing's leading edge ahead of its trailing edge. The wing rotation at the end of each half-stroke pushes the…

Fluid Dynamics · Physics 2022-10-28 Swathi Krishna , Alexander Gehrke , Karen Mulleners
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