Oxygen distribution is of great significance in the interaction processes of molten steel with oxide refractories. We shall examine two possible modes of oxygen migration in the oxide refractory--steel interface region at high temperatures which are tentatively designated as the physical and chemical modes.A gas phase is formed over the refractory due to the dissociation of the oxide according to the equation:*
2 Z 2 (M) + (02). (i)The cations may dissolve in steel, or remain undissolved (for example, Mg =+) and leave the system.According to the published data [i, 2], gaseous oxygen diffuses into steel if its partial pressure over the refractory is greater than that over steel according to the equation
(2)This transition is similar to the migration of oxygen from air during oxidation of carbon in the steelmaking process, and is described by Fick's first law:
I=DACo/AI, (3)where I is the flux flow rate, mole/sec; D is the diffusion coefficient of oxygen in steel, cm2/sec, D = 3"10 -4 cm2/sec; ACo is the concentration gradient of oxygen across the film thickness Al, mole/cm, ACo = const; and Al is the film thickness at the refractory--steel interface, cm, Al = 0.01 cm [3,4] and Al = 0.003 cm [5]. Darken and Gurry [5, p. 542] calculated the rate of carbon-boil (burn-off) during the period of "clean (pure) boil" in an open-hearth steelmaking furnace according to Eq. (3), and found it to be 0.0023 mole %/min at Al = 0.003 cm (this value is close to the actual rate observed).If we assume that one carbon atom reacts with only one oxygen atom, then the diffusion of molecular oxygen will be equal to approximately (0.0023/2) x (16/12) =