Mathematical Expression of Manganese Distribution in Steelmaking Process by Quadratic Formalism Based on Regular Solution Model

在目前的工作中，对slag的常规解决方案模型的接近有效性进行了研究，以形成孟加拉邦分布与所有实验结果的等效关系，包括现有工作和其他先前的研究，在沉积过程中成功地应用于氧化物和磷酸分布模型之间的slag和金属。在第一步，在MnO-轴承slag中铁氧化物活动的测量已经被制成以评估manganese分布在slag和金属制造过程中的影响。由于这一目的，化学equilibria在固体铁、H_2/H_2O气体混合物和交替Fe_tO-SiO_2-MnO或四次Fe_tO-SiO_2-MnO-M_xO_y中被确定（M_xO_y = CaO， MgO， Na_2O， P_2O_5）用于确定相互作用能量的值，Fe_tO-Sio_2-MnO是一个我们认为芒果分布时的基础系统，CaO和MgO是基本的 ... More 在炼钢过程中使用slag组件，Na_2O被用作除磷化和除磷化不仅在热金属处理中使用，但也在钢的二次精炼中使用P_2O_5被用作脱磷化过程中的产品。在第二步，锰在1550 - 1650 ° C的温度下使用slag和液态铁的分布在氩大气层下研究。目前研究了Fe_tO-SiO_2-MgO饱和度（Mn，Fe）O，Fe_tO-SiO_2-MnO-MgO饱和度（Mg，Fe，Mn）O或2（Mg，Fe，Mn）O·SiO_2和Fe_tO-SiO_2-MnO-CaO饱和度（Ca，Mn，Fe）O饱和度（Ca，Mn，Fe）O，以确定模型的有效性。Krings等人编写的前一个数据用于检查该模型的适用性是否具有实验结果，Maurer等人，Korber等人，Chipman等人，贝尔等人，Fischer等人and Suito等人.从获得的结果中，它证实了常规解决方案模型对现有工作和其他调查者对超氧化物丰富区域的所有实验结果都进行了充分的调查。从获得的equilibrium相关性、锰分布比率、L_<Mn>= （%MnO）/[%Mn]，泥浆常量的活动和活动协同作用可以计算为泥浆组成和温度的一个功能。铁中的锰和氧含量与泥浆在铁中可以被评估在模型中&lt;加减&gt; 10%的准确性中。Less（低）

In the present work, an approximate validity of the regular solution model for slag was studied to formulate the equilibrium relation of manganese distribution for all the experimental results including the present work and the other previous studies, in succession to the successful application of the model for oxygen and phosphorous distribution between slag and metal in steelmaking process.In the first step, measurements of the iron oxide activity in MnO-bearing slags have been made to evaluate the effects of slag components on the manganese distribution between slag and metal in steelmaking process. For this purpose, the chemical equilibria were determined among solid iron, H_2/H_2O gas mixture and ternary Fe_tO-SiO_2-MnO or quaternary Fe_tO-SiO_2-MnO-M_xO_y (M_xO_y = CaO, MgO, Na_2O, P_2O_5) slags to determine the values of the interaction energies between cations, where Fe_tO-Sio_2-MnO is a fundermental system when we consider the manganese distribution, and CaO and MgO are basic … More slag components in steelmaking process, and Na_2O is used as simultaneous agent for dephosphorization and desulphurization not only in hot metal treatment but also in secondary refining of steel, and P_2O_5 is product in dephosphorization process.In the second step, the manganese distribution between slag and liquid iron has been studied under Ar atmosphere at the temperatures from 1550 to 1650 ゜C. The slag systems studied at present work were of Fe_tO-SiO_2-MnO sturated with (Mn,Fe)O, Fe_tO-SiO_2-MnO-MgO saturated with (Mg,Fe,Mn)O or 2(Mg,Fe,Mn)O・SiO_2 and Fe_tO-SiO_2-MnO-CaO saturated with (Ca,Mn,Fe)O, in order to make sure the validity of the model. The previous data employed to check the applicability of the model to manganese distribution were the experimental results by Krings et al., Maurer et al., Korber et al. Chipman et al., Bell et al., Fischer et al. and Suito et al..From the results obtained, it was confirmed that the regular solution model was satisfied for all the experimental results including the present work and the previous studies by other investigators except for extremely iron oxide rich region.From the equilibrium relation obtained, the manganese distribution ratio, L_<Mn> = (%MnO)/[%Mn], the activities and activity coefficients of slag constituents can be calculated as a function of slag composition and temperature. The manganese and oxygen contents in iron in equilibrium with the slag can be evaluated within the accuracy of <plus-minus> 10 % from the model. Less