Several mechanisms can extend the equilibrium domain of a liquid phase into the solid
region of the normal phase diagram. The causes of premelting, which include surface …

This review article summarizes the main outcomes following from recently developed
theories of stable dendritic growth in undercooled one-component and binary melts. The …

Ice in the environment plays a central role in both global-scale processes on Earth and
many human activities. Issues related to its description, including the modelling of natural ice …

▪ 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 …

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 …

Gravity currents, driven by horizontal differences in buoyancy, play a central role in fluid
mechanics, with numerous important natural and industrial applications. The first …

The solidification of melts can be profoundly influenced by convection. In alloys,
compositional convection can be driven by solute gradients generated as one component of …

Mathematical modeling of mass, momentum, heat, and species transport phenomena
occurring during solidification of metal alloys is reviewed. Emphasis is placed on the …

Finite element algorithms are presented for the entire casting process from the mould filling
stage to the prediction of the final distorted shape. The various algorithms available in the …

Fractional crystallization and partial melting involve relative motion of liquid and solid
phases and chemical and thermal interactions between them. To elucidate some physical …