Relationships in Viscosity-Diffusivity and Viscosity-Surface Tension of Liquid Metals at or Near the Melting Point

Abstract

By use of basic physical quantities from the practical standpoint, a trial has been made in formulating relationships in viscosity-diffusivity and viscosity-surface tension of molten metals at or near the melting point.
Using the expressions, which have been drived by authors from the theoretical standpoint, the relationships in viscosity (η_m), diffusivity (D_m), and surface tension (γ_m) of molten metals at or near the melting point can be expressed with such basic physical quantities as atomic weight (M), melting point (T_m) and atomic volume(V_m) as follows:
D_m=3.5×10^-6(T_m/M)^1/2V_m^1/3(From the modified Stokes-Einstein.)
r_m/η_m=7.0×10³(T_m/M)^1/2
r_mD_m=1.4×10^-5T_m^3/2/V_m^1/3M^1/2andr_m/η_mD_m=2.0×10⁹V_m^-1/3 ≈ 10⁹