Thermal energy storage with phase change materials (PCMs) has attracted a lot of attention in the last several decades. Most PCMs do not at constant temperature but rather certain range. It means that PCM need to transit through its range fully from solid state liquid and vice-versa. The situation, which transition begins and/or ends within (in mushy zone), is usually called partial (or change)...

Motivated by the mushy zones of sea ice, volcanoes, and icy moons outer solar system, we perform a theoretical numerical study boundary-layer convection along vertical heated wall in bounded ideal region. The mush is comprised porous reactive binary alloy with mixture saline liquid solid matrix, studied near-eutectic approximation. Here demonstrate existence four regions their behavior asymptot...

Recent findings of intact chitin in fossil records suggest surprisingly high recalcitrance of this biopolymer during hydrothermal treatments. We also know in the experience of everyday life that mushroom, cells of which have chitinous cell walls, do not fall apart however long they are simmered. We used in situ optical microscopy to examine chitin and fungal cells with chitinous cell walls duri...

The subject of the present paper is the derivation and asymptotic analysis of a mathematical model for the formation of a mushy region during sulphation of calcium carbonate. The model is derived by averaging, with the use of the multiple scales method, applied on microscopic moving boundary problems. The latter problems describe the transformation of calcium carbonate into gypsum on the micros...

Abstract Macrosegregation is one of the most typical defects during solidification which greatly limits mechanical properties key steel components. Oxygen and its inclusion have been considered to cause compositional heterogeneity in solidifying besides thermo-solutal convection. However, it still not clear how robustly reduce oxygen consequently macrosegregation widely used steels. Here, we re...