Direct numerical simulations of multiphase flows, using a front-tracking method, are
presented. The method is based on writing one set of governing equations for the whole …

It is generally desired to predict the effective conductivity of porous and other composite
media from the phase conductivities and the details of the microstructure; one can then …

In the past three decades, considerable progress has been made in the mathematical
analysis, modelling, and simulation of the fluid dynamics of liquid capsules and biological …

Numerical simulations of the thermocapillary motion of a pair of two-and three-dimensional
fully deformable bubbles and drops are presented. The Navier–Stokes equations coupled …

There is now convincing theoretical and experimental evidence, assembled and discussed
here, for the remarkable insensitivity of the orientation-averaged thermophoretic properties …

Fully resolved numerical simulations are used to examine the thermocapillary motion of a
two-and three-dimensional fully deformable bubble in a channel with an obstruction. A front …

The dynamics of fluid–fluid interfaces are important in diverse problems that span many
disciplines in science and engineering. A series of snapshots is used to illustrate the breadth …

We examine how the interfacial polarization of the particles affects the electric-field-induced
aggregation in electrorheological (ER) fluids. We derive a microstructure-based equation for …

In this paper, simulations are performed of the thermocapillary motion of three-dimensional
and axisymmetric drops in a confined apparatus. The refined level-set grid method is used to …

We study the motion of a bubble driven by buoyancy and thermocapillarity in a tube with a
non-uniformly heated walls, containing a so-called 'self-rewetting fluid'; the surface tension …