Publications (6)
The effect of a wall on the interaction of two spheres in shear flow: Batchelor-Green theory revisited
Itzhak Fouxon, Boris Rubinstein, Zhouyang Ge +2
The seminal Batchelor-Green's (BG) theory on the hydrodynamic interaction of two spherical particles of radii a suspended in a viscous shear flow neglects the effect of the boundar…
Impact of turbulence on the stratified flow around small particles
Itzhak Fouxon, Alexander Leshansky
We study the turbulent flow of the density-stratified fluid around a small translating (either passively or self-propelled) particle. It was found recently [A. M. Ardekani and R. S…
Lamb-type solution and properties of unsteady Stokes equations
Itzhak Fouxon, Alexander Leshansky, Boris Rubinstein +1
We derive the general solution of the unsteady Stokes equations for an unbounded fluid in spherical polar coordinates, in both time and frequency domains. The solution is an expans…
Integral representation of channel flow with interacting particles
Itzhak Fouxon, Zhouyang Ge, Luca Brandt +1
We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shap…
Convective stability of turbulent Boussinesq flow in the dissipative range and flow around small particles
Itzhak Fouxon, Alexander Leshansky
We consider arbitrary, possibly turbulent, Boussinesq flow which is smooth below a dissipative scale . It is demonstrated that the stability of the flow with respect to growth…
Surface tank-treading: propulsion of Purcell's toroidal swimmer
Alexander Leshansky, Oded Kenneth
In this work we address the "smoking ring" propulsion technique, originally proposed by E. M. Purcell. We first consider self-locomotion of a doughnut-shaped swimmer powered by sur…