Related Experiment Video
Updated: May 7, 2026

07:47
Assessing the Influence of Personality on Sensitivity to Magnetic Fields in Zebrafish
Published on: March 18, 2019
Three-sphere magnetic swimmer in a shear flow.
Maryam Taghiloo1, MirFaez Miri
1Faculty of Physics, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 17, 2013
Summary
A three-sphere swimmer in shear flow aligns with the flow. Adding magnetic moments allows external magnetic fields to control its direction, enabling targeted navigation.
Area of Science:
- Fluid dynamics
- Microswimmers
- Biophysics
Background:
- Low-Reynolds-number locomotion is crucial for microscale systems.
- Traditional swimmers in shear flow lack directional control.
- Controlling microswimmer trajectory is essential for targeted applications.
Purpose of the Study:
- To investigate the directional behavior of a three-sphere swimmer in shear flow.
- To develop a controllable microswimmer using magnetic fields.
- To demonstrate precise navigation of a magnetic microswimmer.
Main Methods:
- Simulating a three-sphere swimmer model at low Reynolds numbers.
- Analyzing swimmer dynamics in a shear flow environment.
- Implementing magnetic moments on outer spheres and applying external magnetic fields.
Main Results:
- The rodlike three-sphere swimmer passively aligns with the shear flow direction.
- The magnetically actuated swimmer can be steered independently of the flow.
- External magnetic fields enable controlled navigation of the microswimmer.
Conclusions:
- Passive swimmers are limited by flow conditions.
- Magnetic actuation provides a viable method for controlling microswimmer direction.
- This magnetic swimmer offers potential for targeted delivery and manipulation at microscales.
Related Concept Videos
Magnetic Field Of A Current Loop
Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
Magnetic Force Between Two Parallel Currents
Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the current direction in the conductors.
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and the vector product of the length vector along the current element and the field due to the first conductor. According to the...
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and the vector product of the length vector along the current element and the field due to the first conductor. According to the...
Steady, 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.
Divergence and Curl of Magnetic Field
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
Magnetic Field due to Moving Charges
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Irrotational Flow
Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:

