Related Experiment Video
Updated: Sep 4, 2025

Flapping Soft Fin Deformation Modeling using Planar Laser-Induced Fluorescence Imaging
Published on: April 28, 2022
Collective behavior and hydrodynamic advantage of side-by-side self-propelled flapping foils
Xuechao Liu1, Kui Liu1, Haibo Huang1
1Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China.
Large schools of self-propelled foils achieve better performance through hybrid in-phase and out-of-phase flapping. This collective behavior creates favorable vortex structures and configurations for enhanced speed and power savings.
Area of Science:
- Fluid Dynamics
- Biomimetics
- Hydrodynamics
Background:
- Understanding the hydrodynamic advantages of fish schools is complex, especially for large aggregations.
- The underlying mechanisms enabling collective hydrodynamic benefits in schooling aquatic animals remain largely unclear.
Purpose of the Study:
- To numerically investigate the hydrodynamic performance of large schools of self-propelled foils in side-by-side configurations.
- To analyze the effects of in-phase and out-of-phase flapping motions between neighboring foils on school performance.
- To identify optimal configurations for enhanced speed and reduced energy consumption in artificial schooling systems.
Main Methods:
- Numerical simulations were conducted on large schools comprising four, six, and eight self-propelled foils.
- Foils were arranged in a side-by-side configuration and driven by synchronized harmonic flapping motions.
- The study examined various combinations of in-phase and out-of-phase flapping between adjacent foils.
Main Results:
- Stable side-by-side configurations were spontaneously formed by foils using synchronized flapping motions.
- Out-of-phase flapping increased energy consumption for a specific cruising speed compared to a single foil.
- In-phase flapping resulted in lower speeds for a specific flapping frequency.
- Hybrid states, combining both in-phase and out-of-phase flapping, were found to enhance speed and save power.
Conclusions:
- Hybrid flapping states in multi-foil schools offer superior hydrodynamic performance, improving speed and energy efficiency.
- The enhanced performance is attributed to synchronized collaborative wake vortex structures and bow configurations.
- These findings provide insights into the self-organized collective behavior and hydrodynamic advantages observed in large schools.
Related Concept Videos
Buoyancy and Stability for Submerged and Floating Bodies
Steady, Laminar Flow Between Parallel Plates
Mechanism of Filopodia Formation
Their main function is to guide migrating cells during normal tissue morphogenesis or cancer metastasis by recognizing and making initial contacts with the extracellular matrix. However, they can also act as stationary cell anchors or help to establish communication...
Typical Model Studies
Lift
Convergent Evolution

