Mathematical modeling of crystallization process from a supercooled binary melt
Eugenya V. Makoveeva, Dmitri V. Alexandrov, Alexander A. Ivanov
Abstract
The article is concerned with the analytical solution to the integro‐differential system of balance and kinetic equations that describe the crystal growth phenomenon in a binary system for various nucleation kinetics. The effect of impurity concentration on the evolutionary behavior of crystals is shown. The nonlinear dynamics of a supercooled binary melt is studied with allowance for the withdrawal mechanism of product crystals from a metastable liquid of the crystallizer.
Topics & Concepts
SupercoolingMetastabilityNucleationThermodynamicsBinary numberCrystallizationAllowance (engineering)Nonlinear systemKinetic energyDifferential equationCrystal growthImpuritySupersaturationMathematicsMaterials scienceChemistryPhysicsClassical mechanicsMathematical analysisArithmeticOrganic chemistryEngineeringMechanical engineeringQuantum mechanicsSolidification and crystal growth phenomenaFreezing and Crystallization ProcessesRheology and Fluid Dynamics Studies