Nonsteady thermocapillary mass transfer in the laser alloying of metals

This article examines convective mass transfer of an impurity in a shallow bath of molten metal with allowance for the motion of the fusion front during the laser alloying of metals.Notation r, z, cylindrical coordinates - t time - T_i temperature of the liquid (i=1) and solid (i=2) phases - q(r) absorbed energy flux - k concentration factor - T_m melting point - L heat of fusion - density - _i, _i thermal conductivity and diffusivity - T₀ initial temperature - , absolute and kinematic viscosities of the melt - v_r, v_z projections of the melt velocity on the coordinate axes r and z - p pressure - surface tensionTranslated from Inzhenerno-Fizicheskii Zhurnal, Vol. 56, No. 5, pp. 799–805, May, 1989.