Based on a relaxation equation for the alignment tensor characterizing the molecular orientation in liquid crystals under flow we present results for the full orientational dynamics of homogeneous liquid crystals in a shear flow. We extend the analysis of the symmetry-adapted states by...

Within the framework of irreversible thermodynamics, a nonlinear relaxation equation for the 4-rank alignment tensor is formulated for a two-dimensional square crystal subjected to the shear flow. An evolution equation governing the dynamics of the orientation of the crystal, analogous to the...

The nonlinear self-consistent Smoluchowski equation for the distribution of orientations in a colloidal suspension of elongated molecules is solved for situations with uniaxial symmetry in the framework of the Maier–Saupe model. The axis of symmetry corresponds to the direction of an applied...

In this study, the dependence of fourth-rank order parameter on second-rank order parameter for para-azoxyanisole is investigated by using Tsallis statistics. Also, orientational distribution function is studied within Tsallis thermostatistics using the maximum entropy method, and the...

The motion of a spherical colloidal particle suspended in a moving fluid near a planar hard wall or free surface is considered. The particle types include hard spheres with mixed slip-stick boundary conditions, droplets with high surface tension and porous particles. A general expression for the...

We extend the multiple time scales formalism originally introduced for the Fokker–Planck equation by Wycoff and Balazs (Physica A 146 (1987) 175) to the case of simple shear flow. The analysis is carried out for small values of the Stokes number, St, a dimensionless measure of the inertia of a...

The velocity distribution for a homogeneous shear flow of smooth nearly elastic disks is determined using a perturbation solution of the linearised Boltzmann equation. An expansion in the parameter εI=(1−e)1/2 is used, where e is the coefficient of restitution. In the leading order...

The growth rates of the hydrodynamic modes in the homogeneous sheared state of a granular material are determined by solving the Boltzmann equation. The steady velocity distribution is considered to be the product of the Maxwell–Boltzmann distribution and a Hermite polynomial expansion in the...

The migration of a deformed fluid droplet in shear flow at a relatively large distance from a plane wall is considered. A new formula for the lateral migration velocity is derived by the expansion of the interface equation in terms of the small deformation and the large wall distance. Our...

We analyse the structure of a single polymer tethered to a solid surface undergoing a Couette flow. We study the problem using molecular dynamics (MD) and hybrid MD-continuum simulations, wherein the polymer and the surrounding solvent are treated via standard MD, and the solvent flow farther...