This paper is concerned with models describing disperse particles interacting with a fluid. This work is motivated by the transport of pollutants [14, 39], the dispersion of smokes and dusts [18], the modeling of biomedical flows [7, 5] as well as combustion theory, with applications to Diesel engines or propulsors [1, 2, 20, 34, 40]. The basis of the models we are interested in assumes that th...

The interaction of bodies in a fluid, mediated by hydrodynamic fluctuations and proposed by Dzyaloshinskii, Lifshitz, and Pitaevskii, is calculated exactly for parallel infinite planes and is shown to be attractive. The second mechanism of fluctuation interaction, proposed in the present work, is due to fluctuations of linear and angular velocities of bodies in a hydrodynamic medium and leads t...

The understanding of fluid turbulence has considerably progressed in recent years. The application of the methods of statistical mechanics to the description of the motion of fluid particles, i.e., to the Lagrangian dynamics, has led to a new quantitative theory of intermittency in turbulent transport. The first analytical description of anomalous scaling laws in turbulence has been obtained. T...

We calculate the deformation of a spherical droplet, resulting from the application of a pair of opposite forces to particles located diametrically opposite at the two ends of the droplet. The free-energy analysis is used to calculate the force-distance curves for the generated restoring forces, arising from the displacement of the particles relative to each other. While the logarithmic depende...

Smoothed particle hydrodynamics is a completely mesh-free method to simulate fluid flow. Rather than representing the physical variables on a fixed grid, the fluid is represented by freely moving interpolation centers (”particles”). Apart from their position and velocity these particles carry information about the physical quantities of the considered fluid, such as temperature, composition, ch...

We compare and contrast two recently reported mesoscopic fluid particle models based on a two-dimensional Voronoi tessellation. Both models describe a Newtonian fluid at mesoscopic scales where fluctuations are important. From the requirement of thermodynamic consistency, the equilibrium distribution function is given through the Einstein distribution function. We compute from the Einstein dist...

We investigate polydispersity effects on the average structure factor of colloidal suspensions of neutral particles with surface adhesion. A sticky hard sphere model alternative to Baxter’s one is considered. The choice of factorizable stickiness parameters in the potential allows a simple analytic solution, within the “mean spherical approximation”, for any number of components and arbitrary s...

This paper studies the use of braiding fluid particles to quantify the amount of mixing within a fluid flow. We analyze the pros and cons of braid methods by considering the motion of three or more fluid particles in a coherent vortex structure. The relative motions of the particles, as seen in a space–time diagram, produces a braid pattern, which is correlated with mixing and measured by the b...

Here, we present a novel mechanism for cell trapping using microscale laminar vortices containing stable and predictable recirculating fluid flow. Particles larger than the critical size cut-off migrate laterally through fluid streamlines and orbit within the vortex while smaller particles follow fluid streamlines and travel out of the device. Larger particles were measured to experience shear ...

We study the dynamics of particles in a multi-component 2d Lennard-Jones (LJ) fluid in the limiting case where all the particles are different (APD). The equilibrium properties of this APD system were studied in our earlier work [L. S. Shagolsem et al., J. Chem. Phys. 142, 051104 (2015).]. We use molecular dynamics simulations to investigate the statistical properties of particle trajectories i...