# Swimming at small Reynolds number of a collinear assembly of spheres in an incompressible viscous fluid

@article{Felderhof2016SwimmingAS, title={Swimming at small Reynolds number of a collinear assembly of spheres in an incompressible viscous fluid}, author={B. Ubbo Felderhof}, journal={arXiv: Fluid Dynamics}, year={2016} }

## 3 Citations

### Swimming at small Reynolds number of a planar assembly of spheres in an incompressible viscous fluid with inertia

- Physics
- 2016

Translational and rotational swimming at small Reynolds numbers of a planar assembly of identical spheres immersed in an incompressible viscous fluid is studied on the basis of a set of equations of…

### Dynamics of cruising swimming by a deformable sphere for two simple models

- Physics
- 2018

The dynamics of periodic swimming is studied for two models of a deformable sphere, the dipole-quadrupole model and the quadrupole-octupole model. For the two models the solution of the Navier-Stokes…

### Comparison of swimming in water and swimming in syrup for two hydromechanical models

- EngineeringPhysics of Fluids
- 2022

## References

SHOWING 1-10 OF 17 REFERENCES

### Swimming of an assembly of rigid spheres at low Reynolds number

- Engineering, PhysicsThe European physical journal. E, Soft matter
- 2014

A matrix formulation is derived for the calculation of the swimming speed and the power required for swimming of an assembly of rigid spheres immersed in a viscous fluid of infinite extent. The…

### Swimming of a sphere in a viscous incompressible fluid with inertia

- Mathematics
- 2015

The swimming of a sphere immersed in a viscous incompressible fluid with inertia is studied for surface modulations of small amplitude on the basis of the Navier–Stokes equations. The mean swimming…

### Effect of fluid inertia on the motion of a collinear swimmer.

- PhysicsPhysical review. E
- 2016

The mean swimming velocity of the two-sphere system is found to be nonvanishing provided that the two spheres are not identical and the swimming of a comparable chain of three identical spheres is much more efficient.

### Swimming of a deformable slab in a viscous incompressible fluid with inertia.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

The swimming of a deformable planar slab in a viscous incompressible fluid is studied on the basis of the Navier-Stokes equations, where a continuum of plane wave displacements allows optimization of the swimming efficiency with respect to polarization.

### A bug on a raft: recoil locomotion in a viscous fluid

- EngineeringJournal of Fluid Mechanics
- 2011

The locomotion of a body through an inviscid incompressible fluid, such that the flow remains irrotational everywhere, is known to depend on inertial forces and on both the shape and the mass…

### A note on a swimming problem

- MathematicsJournal of Fluid Mechanics
- 1968

The rate of self-propulsion of a doubly-infinite flexible sheet due to transverse waving oscillations in a viscous fluid is shown to decrease with increasing frequency, at a fixed (small) wave…

### The self-propulsion of a deformable body in a perfect fluid

- Physics
- 2004

Introduction It is well known that there is no force on a body in a uniform stream of perfect fluid (D’Alembert’s paradox). However, the related question of whether a body that is initially a t rest…

### Propulsion and control of deformable bodies in an ideal fluid

- EngineeringProceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C)
- 1999

An explicit formula for the fluid mechanical connection, in terms of the fluid potential function, is developed for this class of systems, which can be used to analyze many issues in motion planning and control.

### An overview of a Lagrangian method for analysis of animal wake dynamics

- EngineeringJournal of Experimental Biology
- 2008

A Lagrangian approach recently introduced to determine unsteady wake vortex structure by tracking the trajectories of individual fluid particles in the flow, rather than by analyzing the velocity/vorticity fields at fixed locations and single instants in time as in the Eulerian perspective is reviewed.