In a fluid environment, flagellated microswimmers propel themselves by rotating their flagella. The morphology of these flagella significantly influences forward speed, swimming efficiency, and directional stability, which are critical for their survival. This study begins by simulating the three-dimensional motion trajectories of microswimmers to analyze their kinematic characteristics. The simulation results demonstrate that microswimmers can actively adjust their forward direction by modifying the orientation of their flagella. We subsequently perform numerical simulations to visualize the flow fields generated by a microswimmer and examine the hydrodynamic interactions between the cell body and the flagella, focusing on their impacts on forward speed and swimming efficiency. We conclude that forward speed and swimming efficiency are closely related to the filament radius, pitch angle, and contour length of the flagella, while the yaw angle of locomotion is determined by the helix radius and contour length of the flagella. We conclude that the pitch angle for maximum forward speed is slightly smaller than that for maximum swimming efficiency, which suggests that microswimmers can effectively alternate between states of maximum forward speed and maximum swimming efficiency by fine-tuning their pitch angle and adapting to varying ecological conditions. These morphological characteristics of microswimmers may result from species competition and natural selection. This research establishes an optimized model for microswimmers, providing valuable insights for the design of enhanced microrobots tailored to specific applications.
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April 2025
Research Article|
April 21 2025
Effects of flagellar morphology on swimming performance and directional control in microswimmers

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Baopi Liu (刘葆僻)
;
Baopi Liu (刘葆僻)
a)
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing)
1
Complex Systems Division, Beijing Computational Science Research Center
, Beijing 100193, China
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Lu Chen (陈璐)
;
Lu Chen (陈璐)
(Formal analysis, Investigation, Methodology, Validation, Visualization, Writing – review & editing)
2
College of Physics, Changchun Normal University
, Changchun, Jilin 130032, China
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Wenjun Xu (徐文君)
Wenjun Xu (徐文君)
(Formal analysis, Investigation, Methodology, Validation, Visualization, Writing – review & editing)
3
School of Humanities and Basic Sciences, Shenzhen Institute of Information Technology
, Shenzhen 518116, China
Search for other works by this author on:
1
Complex Systems Division, Beijing Computational Science Research Center
, Beijing 100193, China
2
College of Physics, Changchun Normal University
, Changchun, Jilin 130032, China
3
School of Humanities and Basic Sciences, Shenzhen Institute of Information Technology
, Shenzhen 518116, China
Physics of Fluids 37, 041912 (2025)
Article history
Received:
February 11 2025
Accepted:
March 22 2025
Connected Content
A companion article has been published:
How bacteria can maximize forward speed or swimming efficiency with their flagella
Citation
Baopi Liu, Lu Chen, Wenjun Xu; Effects of flagellar morphology on swimming performance and directional control in microswimmers. Physics of Fluids 1 April 2025; 37 (4): 041912. https://doi.org/10.1063/5.0264456
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