Institute of Fundamental Technological Research
Polish Academy of Sciences

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B Ubbo Felderhof

RWTH Aachen University (DE)


Recent publications
1.  Ekiel-Jeżewska M.L., Felderhof B.U., Hydrodynamic interactions between a sphere and a number of small particles, JOURNAL OF CHEMICAL PHYSICS, ISSN: 0021-9606, DOI: 10.1063/1.4904981, Vol.142, pp.014904-1-5, 2015

Abstract:
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 condition derived by Stokes and Kirchhoff and the result derived by Oseen for the Green tensor of Stokes equations in the presence of a fixed sphere.

Keywords:
Hydrodynamics, Tensor methods, Stokes flows, Boundary value problems, Torque

Affiliations:
Ekiel-Jeżewska M.L. - IPPT PAN
Felderhof B.U. - RWTH Aachen University (DE)
2.  Ekiel-Jeżewska M.L., Felderhof B.U., Clusters of particles falling in a viscous fluid with periodic boundary conditions, PHYSICS OF FLUIDS, ISSN: 1070-6631, DOI: 10.1063/1.2396910, Vol.18, pp.121502-0, 2006

Abstract:
Exemplary dynamics of three point particles falling under gravity in Stokes flow with periodic boundary conditions is presented in a movie. Stable and unstable solutions of the equations of Stokesian dynamics are explicitly shown for two initial configurations: equilateral triangles with side lengths close to a critical size.

Keywords:
Kinematics, Suspensions, Boundary value problems, Viscosity, Anisotropy

Affiliations:
Ekiel-Jeżewska M.L. - IPPT PAN
Felderhof B.U. - RWTH Aachen University (DE)
3.  Ekiel-Jeżewska M.L., Felderhof B.U., Periodic sedimentation of three particles in periodic boundary conditions, PHYSICS OF FLUIDS, ISSN: 1070-6631, DOI: 10.1063/1.2008827, Vol.17, pp.93102-0, 2005

Abstract:
Solutions of the equations of Stokesian dynamics for point particles are found for periodic boundary conditions with three particles per unit cell of a simple cubic lattice. Two particles per cell move with equal velocity, but three particles per cell usually lead to irregular motion. For a class of initial conditions with special symmetry motions are found that are periodic in time as well as in space. It is shown that there is a range of stability in which the motions are robust under perturbation.

Keywords:
Tensor methods, Boundary value problems, Eigenvalues, Periodic solutions, Equations of motion

Affiliations:
Ekiel-Jeżewska M.L. - IPPT PAN
Felderhof B.U. - RWTH Aachen University (DE)

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