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- B U Felderhof
- Physical review. E, Statistical, nonlinear, and…
- 2015

A mechanical model of swimming and flying in an incompressible viscous fluid in the absence of gravity is studied on the basis of assumed equations of motion. The system is modeled as an assembly of rigid spheres subject to elastic direct interactions and to periodic actuating forces which sum to zero. Hydrodynamic interactions are taken into account in the… (More)

- B U Felderhof
- The 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 spheres may have arbitrary radii and may interact with elastic forces. The analysis is based on the Stokes mobility matrix of the set of spheres, defined in low… (More)

- B. U. Felderhof
- 2016

Translational and rotational swimming at small Reynolds number of a planar assembly of identical spheres immersed in an incompressible viscous fluid is studied on the basis of a set of equations of motion for the individual spheres. The motion of the spheres is caused by actuating forces and forces derived from a direct interaction potential, as well as… (More)

- B U Felderhof
- Physical review. E, Statistical, nonlinear, and…
- 2015

The swimming of a deformable planar slab in a viscous incompressible fluid is studied on the basis of the Navier-Stokes equations. A continuum of plane wave displacements, symmetric on both sides of the slab and characterized by a polarization angle, allows optimization of the swimming efficiency with respect to polarization. The mean swimming velocity and… (More)

- Maria L Ekiel-Jeżewska, B U Felderhof
- The Journal of chemical physics
- 2015

Exact expressions are derived for the pair and three-body hydrodynamic interactions between a sphere and a number of small particles immersed in a viscous incompressible fluid. The analysis is based on the Stokes equations of low Reynolds number hydrodynamics. The results follow by a combination of the solutions for flow about a sphere with no-slip boundary… (More)

- B U Felderhof
- Physical review. E, Statistical, nonlinear, and…
- 2013

Recently, a critical test of the Navier-Stokes-Fourier equations for compressible fluid continua was proposed [H. Brenner, Phys. Rev. E 87, 013014 (2013)]. It was shown that the equations of bivelocity hydrodynamics imply that a compressible fluid in an isolated rotating circular cylinder attains a nonequilibrium steady state with a nonuniform temperature… (More)

- B U Felderhof
- The Journal of chemical physics
- 2008

Escape by diffusion in one dimension from a parabolic well across a parabolic barrier is investigated for a range of barrier heights. The probability of occupation of the well decays at long times inversely with the square root of time due to repeated return to the well after excursion in the outer space. The amplitude of the long-time tail increases as the… (More)

- B U Felderhof
- Physical review. E, Statistical, nonlinear, and…
- 2002

The rotational diffusion equation for a dipole in the presence of a rotating field is solved by expansion of the orientational distribution function in terms of spherical harmonics. For the stationary solution, the distribution function rotates bodily in angular space. The magnitude of the average dipole moment and the lag angle are studied as functions of… (More)

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