▪ 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 …

A Rayleigh number based criterion is developed for predicting the formation of freckles in Ni-
base superalloy castings. This criterion relies on finding the maximum local Rayleigh …

A magnetic field is used to modify the fluid flow in the dendritic network by thermoelectric
magnetohydrodynamic (TEMHD) effect. We study here the influence of convection on the …

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 …

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 …

A Rayleigh number-based criterion is developed for predicting the formation of A-segregates
in steel castings and ingots. The criterion is calibrated using available experimental data for …

We present a numerical study of steady convection in a two-dimensional mushy layer during
solidification of a binary mixture at a constant speed V. The mushy layer is modelled as a …