Related Experiment Video
Updated: Jun 26, 2026
06:50
Preparation and 3D Tracking of Catalytic Swimming Devices
Published on: July 1, 2016
Optimal strokes for axisymmetric microswimmers.
F Alouges1, A DeSimone, A Lefebvre
1Laboratoire de Mathématiques, Université Paris-Sud, Orsay, France.
The European Physical Journal. E, Soft Matter
|January 27, 2009
Summary
We developed a theory for efficient low-Reynolds-number swimmers. Our strategy computes optimal strokes for maximum efficiency, demonstrated with examples like linked spheres.
Area of Science:
- Fluid dynamics
- Biophysics
- Microswimming
Background:
- Understanding microswimmer efficiency is crucial for applications like targeted drug delivery.
- Low-Reynolds-number fluid dynamics presents unique challenges for propulsion and movement.
Purpose of the Study:
- To present a theoretical framework for analyzing low-Reynolds-number axisymmetric swimmers.
- To develop a general strategy for computing strokes that maximize propulsive efficiency.
Main Methods:
- Derivation of an explicit equation for optimal strokes.
- Development of numerical strategies for solving these optimal stroke problems.
- Application of the theory to established microswimmer models.
Main Results:
- An explicit mathematical condition for maximal efficiency in axisymmetric swimmers.
- Successful application to the 'three linked spheres' and 'pushmepullyou' models.
- Demonstration of a generalizable computational approach for swimmer optimization.
Conclusions:
- The presented theory provides a robust framework for designing and analyzing efficient microswimmers.
- The computational strategy offers a pathway to optimize swimmer performance in viscous fluids.
- This work advances the understanding of fundamental principles governing biological and artificial microscale locomotion.
Related Concept Videos
01:11Rotation of Asymmetric Top
By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if there is no spherical symmetry. Since most rigid bodies are not spherically symmetric, these require special treatment.
The relationship between the angular momentum of any rigid body and its angular velocity, both of which are vectors, involves the moment of inertia. The moment of inertia is a scalar quantity only for spherically symmetric...
The relationship between the angular momentum of any rigid body and its angular velocity, both of which are vectors, involves the moment of inertia. The moment of inertia is a scalar quantity only for spherically symmetric...
01:11Buoyancy and Stability for Submerged and Floating Bodies
In fluid mechanics, buoyancy and stability are key concepts for understanding the behavior of submerged and floating bodies. When a stationary body is fully or partially submerged in a fluid, the fluid exerts a force on the body known as the buoyant force. This force acts vertically upward through a point called the center of buoyancy, which is the center of the displaced fluid volume. According to Archimedes' principle, the magnitude of the buoyant force is equal to the weight of the fluid...
01:16Eccentric Axial Loading in a Plane of Symmetry
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
01:24Microtubules in Cell Motility
Microtubules are thick hollow cylindrical proteins that help form the cytoskeleton. Microtubules have varied roles in the cell. These filaments help form cellular appendages like cilia and flagella, which are responsible for locomotion. The cilia arise from basal bodies, separated from the main body by a membrane-like structure forming the transition zone. This zone is the gate for the entry of lipids and proteins, creating a unique composition of lipids and proteins in the ciliary membrane and...
01:17Steady, Laminar Flow Between Parallel Plates
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
01:30Typical Model Studies
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.