▪ Abstract As a molten alloy or any multi-component liquid is cooled and solidified the
growing solid phase usually forms a porous matrix through which the residual liquid can …

By a porous medium we mean a material consisting of a solid matrix with an interconnected
void. We suppose that the solid matrix is either rigid (the usual situation) or it undergoes …

Motivated by important applications in materials science and geophysics, I develop a non-
linear heat and mass transfer model describing a steady-state crystallization scenario with a …

We consider the solidification of a binary alloy in a mushy layer and analyse the system near
the onset of buoyancy-driven convection in the layer. We employ a neareutectic …

Since the Annual Review of Fluid Mechanics review of mushy layers by, there have been
significant advances in the understanding of convective processes in mushy layers. These …

Over 60 years of studying morphological stability under fundamental ideas of William Wilson
Mullins and Robert Floyd Sekerka [J. Appl. Phys. 34, 323 (1963) and J. Appl. Phys. 35, 444 …

A dynamic linear instability analysis of steady-state binary melt solidification with a mushy
region has been carried out. Such an instability differs from a conventional morphological …

The effect of a temperature-dependent solute diffusion coefficient on a model of
unidirectional solidification of a binary melt with a quasi-equilibrium mushy (two-phase) …

In this paper, we develop a nonlinear theory of self-oscillatory solidification mode during
directional crystallization in the presence of a quasi-equilibrium two-phase region of …

Motivated by an important application in the chemical and pharmaceutical industries, we
consider the non-stationary growth of a polydisperse ensemble of crystals in a continuous …