Solution of niobium in iron during arc surfacing

Abstract

The solution of niobium in iron during arc surfacing is simulated. The model is based on diffusional dissolution of niobium particles in metals. It includes diffusion equations, initial and boundary conditions, and also the equations of motion of the boundary between the media. The diffusion coefficient in liquid iron is assumed to much exceed that in the solid solution. The solution of the Stefan diffusional problem within the solid is found as a Fourier series in terms of cosines; the solution within the liquid is found in terms of error functions. The time for the dissolution of niobium is determined. It is 10–100 s for 10-μm particles at high temperatures.