Solving the Stefan problem for a solid phase growth on plane plate and spherical surfaces and testing of theoretical equations

摘要: Solutions of the Stefan problem in 2D space considering a moving boundary solid deposit growing under mass transfer control on either plane plate or spherical substrates are reported. In former case, displacement growth front at occurs perpendicularly to substrate, whereas for latter it shifts radially. For both substrates, absence convection and surface roughness effects, phase kinetics is determined by diffusion advection, being due linear with time. geometric arrangements theory predicts two limiting kinetic situations, namely when time and/or radius substrate approach zero, an advection reverse conditions. its tends infinity, process approaches that found substrate. Theoretical potentiostatic current density transients tested utilising pattern data formation silver dense branching electrodeposits cathode quasi-2D cell, cathodes employing high viscosity plating solutions.