On the theory of dendritic growth: Soret and temperature-dependent diffusion effects

Abstract

Abstract-An analytical solution is found for the problem of the growth of an isolated dendrite in a convective binary melt with allowance for the Soret and temperature dependent diffusion effects. Nonlinear impurity transport is shown to radically change the impurity concentration in front of the growing crystal and, corre spondingly, the concentration supercooling, which is responsible for the condition of choosing the dendrite tip growth rate.

Thermal Activated Elements Redistribution between Two-Component Coating and Substrate

“…Its value for solid materials is missing in reference books. Determination of Soret and thermal diffusion coefficients for solids is a particular problem [1,9,11,12] which is not the goal of research of this work. For the illustrations assumed:…”

“…Study of the effect of thermal diffusion on redistribution of elements between the coating and the substrate is experimentally difficult [9,10]. Mathematical modeling is also hampered due to a number of factors [11,12]. First, in reference literature data on the thermal physical parameters for new advanced materials and the diffusion and thermal diffusion coefficients are insufficiently.…”