Modelling electrochemistry in metallurgical processes.

Problems are discussed associated with the mathematical modelling of electrochemical processes for smelting or plating metals. Boundary conditions are nonlinear and time-dependent, often because phenomena at multiple-length scales are linked. The Angstrom-scale double layer gives rise to nonlinear voltage-current behaviour, which is a boundary condition for macroscopic models. The development of micrometer-scale dendrites changes the product form and the apparent resistance at the interface, while chemical additives can suppress dendrites and produce super-conformal filling of very rough surfaces. An overview is presented of modelling approaches at all length scales from Angstroms to meters, including mean field and atomistic approaches.
Problems are discussed associated with the mathematical modelling of electrochemical processes for smelting or plating metals. Boundary conditions are nonlinear and time-dependent, often because phenomena at multiple-length scales are linked. The Angstrom-scale double layer gives rise to nonlinear voltage-current behaviour, which is a boundary condition for macroscopic models. The development of micrometer-scale dendrites changes the product form and the apparent resistance at the interface, while chemical additives can suppress dendrites and produce super-conformal filling of very rough surfaces. An overview is presented of modelling approaches at all length scales from Angstroms to meters, including mean field and atomistic approaches.