A central problem in the numerical treatment of melting and resolidificatio
n, as well as alloying processes at metal surfaces, is the coupling of the
physical phenomena. Among these phenomena, Marangoni convection, conjugated
heat transfer, species transport and free-surface deformation occur simult
aneously. The involved transport mechanisms take place at different time sc
ales, which enables the decoupling of the governing equations in the soluti
on process. This decoupling procedure has been proven to be capable of comp
utation of metal-surface remelting and alloying processes. In this article,
scaling analysis is presented to determine both the time scales and charac
teristic velocities. Using this information, two-dimensional transient calc
ulations of velocities, temperatures, and species concentration in both liq
uid and solid phases have been carried out. These theoretical results have
been compared with experiments utilizing the high-speed scan deflection tec
hnique in electron-beam (EB) surface remelting and alloying of a Ck45 speci
men (AISI 1045) with chromium. It was shown that the shape of the resolidif
ied surface is determined by the fluctuation of the vapor pressure. This fl
uctuation is due to temperature oscillations induced by the transient behav
ior of the electron beam.