Dissolution of solid steel cylinder into molten Fe-C alloy was investigated at the temperature from 1300°C to 1500°C.
In this paper, the viscosity and the density of the melt and the diffusion coefficient of carbon were estimated from the literatures at the solid-liquid interface i. e. at the liquidus concentration of carbon, CL.
Nondimensional correlation for the mass-transfer was analysed using above estimated physical properties and diffusion coeff.
Correlation for the rotated or static cylinder was obtained as follows:
JD= (k/U)(Sc) ^2/3=0⋅064 (Re) ^-0.25
10²<Re<10⁴: rotated cylinder
Sh=0⋅11 (Gr.m×Sc) 1/3
10⁹<Gr·m × Sc<10¹¹: static cylinder
Utilizing the nondimensional correlation of a model test by benzoic acid-water system, the unknown ratesof stirring of molten Fe-C alloy melted by some laboratorial H. F. furnace could be roughly estimated from the rates of dissolution of steel cylinder.