Modeling of niobium dissolution process in iron at electric arc welding

The article is devoted to the conducting of simulation process of niobium dissolution in iron at electric arc welding. The model is based on the presentation of the nature and diffusion of dissolution of niobium particles in metals. The model includes the diffusion equation, initial and boundary conditions, as well as the motion equation of the media interface. It has been assumed that the value of the diffusion coefficient in the liquid iron is in many times higher than the value of this coefficient in the solid solution. The solution of the diffusion Stefan problem in the fi eld of solid is in the form of Fourier series cosines, and in the fi eld of liquid in the form of the error functions. The result is the dissolution of niobium, which for high temperatures and particle sizes of 10 μm is from 10 s to 100 s.