1 Introduction

Direct alloying of manganese ore [1,2,3,4,5,6] in the steelmaking process, which may shorten the process, reduce pollution and reduce production costs, has promising prospect. Shimoo et al. [7, 8] studied the reduction rate of MnO in CaO–Al2O3–MnO and silicate slags by using a graphite crucible and determined that the reaction rate is controlled by the chemical reaction process at the slag–graphite interface. However, when carbon is added to the slag, a first-order reaction occurred. Xu et al. [9] investigated the reduction kinetics of MnO within carbon-saturated liquid iron and found that the apparent reaction is in the second order when no carbon is added to the slag. Ashizuka et al. [10] studied the rate of MnO reduction from slag by carbon-saturated iron at 1500–1600 °C and determined the rate-limiting step of MnO reduction by the electrochemical method. Kim and Jung [11] studied the manganese distribution of CaO–SiO2–FeO–MnO slag in equilibrium with solid Fe. It is observed that the manganese distribution ratio decreased with increasing CaF2, which is believed to have the effect that it would increase the activities of MnO and FeO. Shinozaki et al. [12] studied the reduction behavior of carbon-containing MnO slag in liquid iron at 1600 °C. It is believed that the rate of MnO reduction reaction is restricted by the mass transfer of the reaction component. According to the literatures [13,14,15], for the carbon reduction of manganese ore in different atmospheres, the optimal C/O value in the agglomerate is 1.2, and excess reducing agent has no obvious effect on the improvement in the agglomeration degree. The smaller the amount of slag, the higher the manganese yield [16]. Adding calcium oxide or magnesium oxide to manganese ore helps to reduce the content of manganese oxide in slag [17]. Suitable thermodynamic and kinetic conditions are the key to efficient reduction of manganese ore [18].

However, in the aforementioned studies, for the direct alloying process, usually the manganese ore was added to the molten steel from the top-slag adding, in which the reduction of the manganese ore only occurs in the liquid–liquid interface between the slag and molten steel, and the effect is always not ideal [19, 20]. In the tapping process of the converter, the manganese yield is about 80% [21,22,23]. Therefore, it is necessary to develop a method to increase the contact area between the manganese ore and the molten steel to improve the efficiency of the manganese reduction reaction.

In order to create better metallurgical kinetic conditions to increase the reaction rate of manganese ore direct alloying and the manganese recovery, this paper extends the method that a cored wire is fed directly into the molten steel bath, and the material in the cored wire comes in direct contact with the molten steel. The reaction area is increased, which helps to increase the reaction rate of the manganese ore reduction. Therefore, in this study, a manganese ore direct alloying technology was tested, and the efficiency of direct alloying, the kinetics and the slag phase equilibrium of manganese ore cored wire were also discussed.

2 Materials and methods

2.1 Experimental materials and preparation

A ϕ8-mm manganese ore cored wire is made from a 0.2-mm-thick 08Al steel, a thin strip of steel and a mixture of manganese ore powder, lime powder and anthracite powder using a cored wire machine. The net mass of the mixed powder in the finished manganese ore cored wire is 1.2 g/cm. The manganese ore cored wire is composed of manganese ore, lime and anthracite. After dried, crushed and ground, the three types of raw materials are pressed to spheres or fabricated to cored wires by high pressure. The particle size of the raw material is smaller than 0.074 mm, and the drying time is 24 h at 200 °C. The mixing powder ratio and ingredients in the cored wire are shown in Table 1. Manganese ore cored wire finished is shown in Fig. 1.

Table 1 Main raw material composition and content of manganese ore cored wire
Fig. 1
figure 1

Experimental equipment and schematic diagram

The metal is prepared by industrial pure iron and electrolytic manganese as the main raw materials, that is, [C] < 0.1 wt.%, [Si] < 0.1 wt.% and [Mn] 0.8–1.2 wt.%. The slagging material mainly consisted of lime and lightly burned dolomite. The main deoxidizers are carbon powder, aluminum and ferrosilicon powder.

2.2 Experimental equipment and methods

The experimental equipment and schematic drawing of the 500-kg intermediate-frequency induction furnace and wire feeding machine are shown in Fig. 1. The lining of the medium-frequency induction furnace is knotted with magnesia. The bottom is equipped with a bottom-blowing lance, through which the nitrogen gas is supplied with an intensity of 0.04–0.20 m3/(t min). The feeding machine is a WX-5BF double-current feeding machine with a feeding speed range of 0.5–4.0 m/s.

First, pure iron and electrolytic manganese were added to prepare the required metal composition. The furnace charge was 200 kg, and the average depth of the molten bath was 300 mm. Second, the heating power of the induction furnace was kept stable when the composition and temperature measured satisfied the planned standard, and the intensity of the bottom-blowing nitrogen was adjusted to an appropriate value. Third, the wire feeding machine was turned on and the wire was fed into the molten steel. After feeding the wire, sampling and temperature measurements were taken. Subsequently, the slag former was added to the molten steel surface. Five minutes later, the deoxidizer was added to the slag surface. The steel and slag samples were obtained every 5 min. The experiment from the wire feeding to the testing end lasted for 30 min.

Six experiments were carried out according to experimental parameters. In order to reduce errors, the wire feeding experiments were repeated twice. In the first and second experiments, the material was fed into the cored wire at a wire feeding speed of 1 m/s and a mixture of aluminum and ferrosilicon powder was used for the deoxidation. In the third and fourth experiments, the wire feeding speed was 1 m/s and ferrosilicon powder was used for deoxidation. In the fifth experiment, manganese ore was added from the top of the furnace, and ferrosilicon powder was used for the deoxidization. In the sixth experiment, manganese ore powder was added from the top of the furnace and a mixture of aluminum and ferrosilicon powder was used for deoxidation. The nitrogen supply intensity at the bottom of the induction furnace was 0.08 m3/(t min), and the experimental temperature was in the range of 1540–1600 °C.

In the experiments, samples of steel and slag were obtained at different time. The steel samples were analyzed by inductively coupled plasma (ICP) spectroscopy, and the slag samples were analyzed by X-ray fluorescence. The temperature was measured using a thermocouple, and the lithofacies of the slag were observed with a scanning electron microscope.

The calculation of the manganese yield is as follows:

$$ \eta_{{{\text{Mn}}}} = \frac{{M \times \left( {w_{{\text{[Mn],f}}} - w_{{\text{[Mn], i}}} } \right)}}{m \times \alpha } \times 100 $$
(1)

where ηMn is the manganese yield; M is the mass of the molten steel; m is the mass of the manganese ore; α is the TMn content of the manganese ore; w[Mn], i is the initial manganese content of the molten steel; and w[Mn], f is the manganese content in the molten steel at the end of the smelting process.

The manganese distribution ratio between slag and steel is calculated as follows:

$$ L_{{{\text{Mn}}}} = \frac{{w_{{\text{(MnO)}}} }}{{w_{{\text{[Mn]}}} }} $$
(2)

where LMn is the manganese distribution ratio between slag and steel; w(MnO) is the manganese oxide content of the slag; and w[Mn] is the manganese content of the molten steel.

3 Experimental results

The experimental results of the six tests are summarized in Tables 2 and 3.

Table 2 Composition of molten steel and temperatures during manganese ore direct alloying
Table 3 Composition of slag after direct alloying of manganese ore

The manganese yield at different time and the manganese distribution ratio between slag and steel calculated by Eqs. (1) and (2) are shown in Fig. 2. Tables 1 and 2 shows that the manganese yield within 10 min is higher for the wire feeding process than for the top-slag adding process. In particular, within 1 min, the manganese yield of the wire feeding process is 43.26% with a range of 30.48%–58.58%. For the top-slag adding process, the average manganese yield is 10.98% with a range of 6.07%–15.90%. The manganese yield is quite similar for the two processes after 30 min. The manganese distribution ratio between slag and steel is lower for the wire feeding process than for the top-slag adding process in the range of 0–10 min. For the range of 10–30 min, the manganese distribution ratio between slag and steel is similar for the two processes.

Fig. 2
figure 2

Manganese yield (a) and manganese distribution ratio between slag and steel (b) at different refining time t

4 Discussion

4.1 Influencing factors on manganese yield

The decomposition reactions of the manganese oxides in the test are as follows:

$$ ({\text{MnO}}{\text{s}}) = ({\text{Mn}}{\text{s}}{) + }\frac{{1}}{{2}}{\text{O}}_{{2}} {(}{\text{g}}{)}\quad\Delta G^{0} = 388,860 - 76.42T $$
(3)
$$ {\text{Mn}}_{{3}} {\text{O}}_{{4}} {(}{\text{s}}) = {\text{3MnO}}({\text{s}}) + \frac{{1}}{{2}}{\text{O}}_{{2}} ({\text{g}})\quad\Delta G^{0} = 232,212 - 117.0T $$
(4)
$$ {\text{Mn}}_{{2}} {\text{O}}_{{3}} {(}{\text{s}}) = \frac{{2}}{{3}}{\text{Mn}}_{{3}} {\text{O}}_{{4}} {(}{\text{s}}) + \frac{{1}}{{6}}{\text{O}}_{{2}} {(}{\text{g}})\quad\Delta G^{0} = 35,062 - 28.07T $$
(5)
$$ {\text{MnO}}_{{2}} {(}{\text{s}}) = ({\text{Mn}}{\text{s}}) + {\text{O}}_{{2}} {(}{\text{g}})\quad\Delta G^{0} = 518,816 - 181.0T $$
(6)

where ΔG0 is the standard Gibbs free energy; and T is temperature, K.

The decomposition reduction curves of the manganese oxides at different temperatures are calculated by using Eqs. (3)–(6), which are shown in Fig. 3a. It can be seen that the most difficult portion of the manganese oxides reduction process is the reduction of MnO at 1500–1600 °C. If the reduction of MnO in the manganese ore can be achieved in this temperature range, the process would be successful.

Fig. 3
figure 3

Decomposition of manganese oxide (a) and reduction curve of manganese oxide by carbon, silicon and aluminum (b)

In this experiment, carbon powder, aluminum and ferrosilicon powder were used as reducing agents and the following reactions occurred during the steelmaking process [24].

$$ ({\text{C}}{\text{s}}) + \frac{{1}}{{2}}{\text{O}}_{{2}} {(}{\text{g}}) = ({\text{CO}}{\text{g}})\quad\Delta G^{0 } = - 114,400 - 85.77T $$
(7)
$$ ({\text{Si}}{\text{s}}) + {\text{O}}_{{2}} {(}{\text{g}}) = {\text{SiO}}_{{2}} {(}{\text{s}})\quad\Delta G^{0 } = - 904,760 - 173.38T $$
(8)
$$ ({\text{2Al}}{\text{s}}) + \frac{{3}}{{2}}{\text{O}}_{{2}} {(}{\text{g}}) = {\text{Al}}_{{2}} {\text{O}}_{{3}} {(}{\text{s}})\quad\Delta G^{0 } = - 1,675,100 - 313.20T. $$
(9)

According to Eqs. (3) and (7)–(9), the following equations can be obtained:

$$ {\text{C}}({\text{s}}) + ({\text{MnO}}{\text{s}}) = ({\text{Mn}}{\text{s}}) + ({\text{CO}}{\text{g}})\quad\Delta G^{0 } = 274,460 - 162.19T $$
(10)
$$ \frac{{1}}{{2}}({\text{Si}}{\text{s}}) + ({\text{MnO}}{\text{s}}) = ({\text{Mn}}{\text{s}}{) + }\frac{{1}}{{2}}{\text{SiO}}_{{2}} {(}{\text{s}}{)}\quad\Delta G^{0 } = - 63,520 + 10.27T $$
(11)
$$ \frac{{2}}{{3}}({\text{Al}}{\text{s}}) + ({\text{MnO}}{\text{s}}) = ({\text{Mn}}{\text{s}}) + \frac{{1}}{{3}}{\text{Al}}_{{2}} {\text{O}}_{{3}} {(}{\text{s}})\quad \Delta G^{0 } = - 169,506.67 + 27.98T. $$
(12)

The Gibbs free energy change of the three different reduction reactions can be obtained by using Eqs. (10)–(12) and is shown in Fig. 3b. It can be seen that the three reactions occurred in the refining temperature range of 1540–1600 °C.

Figure 3b shows that the Gibbs free energy of reaction between aluminum or silicon and MnO is lower than that of carbon and MnO within 1700 °C; thus, the reactions between aluminum or silicon and MnO are stronger than that between carbon and MnO. It can be seen from Eqs. (10)–(12) that the main factors affecting the manganese ore reduction are the temperature and the activities of various components such as aluminum, silicon and carbon.

Figure 4 shows the effect of the compositions of molten steel and slag and the temperature on the manganese yield, which is obtained from Tables 1 and 2. For wire feeding process, the most important factor affecting the manganese yield is the carbon content in molten steel, followed by iron oxide content in slag, silicon content in molten steel, molten steel temperature and slag basicity. The content of acid-soluble aluminum in molten steel has no significant effect on the manganese yield. With increasing the carbon and silicon contents in molten steel and basicity of slag, as well as decreasing the temperature of molten steel and the content of iron oxide, the manganese yield increased in different degrees.

Fig. 4
figure 4

Effect of compositions of molten steel and slag and temperature on manganese yield

For the top-slag adding process, the most important factor affecting the manganese yield is the silicon content in molten steel, followed by carbon content in molten steel, acid-soluble aluminum content in molten steel, molten steel temperature, slag basicity and iron oxide content in slag.

Therefore, increasing the silicon and carbon contents in molten steel and the basicity of slag or reducing the acid-soluble aluminum content in molten steel, the temperature of molten steel and the content of iron oxide in slag is beneficial to increasing the manganese yield.

4.2 Analysis of influencing factors on manganese distribution ratio in molten steel and slag

During the reduction process of the manganese ore, the following reactions occur [25]:

$$ ({\text{MnO)}} + {\text{[C]}} = {\text{[Mn]}} + ({\text{CO}}{\text{g}})\quad \Delta G^{0 } = 259,826 - 129.06T $$
(13)
$$ \lg \frac{{w_{{({\text{MnO}})}} }}{{w_{{[{\text{Mn}}]}} }} = \frac{13,570}{T} - \lg \frac{{\gamma_{{{\text{MnO}}}} }}{{f_{{{\text{Mn}}}} }} - \lg f_{{\text{C}}} - \lg w_{{\text{[C]}}} - 6.74 $$
(14)

where \(\gamma_{{{\text{MnO}}}}\) is the activity coefficient of MnO in slag; fMn is the manganese activity coefficient in metal solution; and fC is the carbon activity coefficient in metal solution.

Equation (14) shows the influencing laws on LMn. An increase in the carbon content of the molten steel results in a decrease in the manganese distribution ratio between slag and steel; as the temperature of the molten steel increases, the manganese distribution ratio between slag and steel decreases.

$$ {\text{3(MnO)}} + {\text{[Si]}} = {\text{(MnO}} \cdot {\text{SiO}}_{{2}} {)} + {\text{2[Mn]}}\quad \Delta G^{0 } = - 116,743 - 2.049T $$
(15)
$$ \lg \frac{{w_{{({\text{MnO}})}}^{3/2} }}{{w_{{[{\text{Mn}}]}} }} = - \frac{3048.6}{T} - \lg \frac{{\gamma_{{{\text{MnO}}}}^{3/2} }}{{f_{{{\text{Mn}}}} }} - \frac{1}{2}\lg f_{{{\text{Si}}}} - \frac{1}{2}\lg w_{{\text{[Si]}}} + \frac{1}{2}\lg a_{{{\text{MnO}} \cdot {\text{SiO}}_{{2}} }} - 0.053 $$
(16)

where fSi is the silicon activity coefficient in metal solution and \(a_{{{\text{MnO}} \cdot {\text{SiO}}_{{2}} }}\) is the activity of MnO·SiO2 in slag.

Equation (16) shows that an increase in the silicon content of molten steel results in a decrease in the manganese distribution ratio between slag and steel, and a decrease in the temperature of molten steel leads to a decrease in the manganese distribution ratio between slag and steel.

$$ {\text{4(MnO)}} + {\text{2[Al]}} = {\text{MnO}} \cdot {\text{Al}}_{{2}} {\text{O}}_{{3}} {\text{(s)}} + {\text{3[Mn]}}\quad \Delta G^{0 } = - 538,813 - 67.3T $$
(17)
$$ \lg \frac{{w_{{({\text{MnO}})}}^{4/3} }}{{w_{{[{\text{Mn}}]}} }} = - \frac{9380.29}{T} - \lg \frac{{\gamma_{{{\text{MnO}}}}^{4/3} }}{{f_{{{\text{Mn}}}} }} + \frac{1}{3}\lg a_{{{\text{MnO}} \cdot {\text{Al}}_{{2}} {\text{O}}_{{3}} }} - \frac{2}{3}\lg f_{{\text{[Al]}}} - \frac{2}{3}\lg w_{{\text{[Al]}}} + 1.17 $$
(18)

where fAl is the aluminum activity coefficient in metal solution and \(a_{{{\text{MnO}} \cdot {\text{Al}}_{{2}} {\text{O}}_{{3}} }}\) is the activity of MnO·Al2O3 in slag.

Equation (18) shows that an increase in the acid-soluble aluminum content of molten steel causes a decrease in the manganese distribution ratio between slag and steel, and a decrease in the temperature of the molten steel also decreases the manganese distribution ratio between slag and steel.

Thus, in order to reduce the manganese content in the slag, the content of the reducing agent (carbon, silicon and aluminum) should be increased and the temperature has to be controlled.

Figure 5 shows the relationship of the manganese distribution ratio between slag and metal to the temperature based on Eqs. (14), (16) and (18) by using different reducing agents. The activity coefficients of the elements are obtained from Ref. [9].

Fig. 5
figure 5

Relationship between manganese distribution ratio and temperature with different reducing agents

The activity coefficients of the MnO in the slag are obtained from Ref. [26] and the following equation:

$$ \lg \gamma_{{{\text{MnO}}}} = 0.0415\left( {w_{{\text{(CaO)}}} + 0.45w_{{{\text{(SiO}}_{{2}} {)}}} + 0.60w_{{\text{(MgO)}}} + 0.66w_{{{\text{(Fe}}_{{\text{t}}} {\text{O)}}}} + 0.45w_{{\text{(MnO)}}} + 0.95w_{{{\text{(P}}_{{2}} {\text{O}}_{{5}} {)}}} } \right) + \frac{803}{T} - 3.075. $$
(19)

Figure 5 shows that when the aluminum and ferrosilicon are used as deoxidizer, the manganese distribution ratio between slag and steel is proportional to the temperature.

Figure 6 depicts the effect of the compositions of molten steel and slag as well as the temperature on the manganese distribution ratio between slag and metal. For wire feeding process, the largest factor affecting the manganese distribution ratio between slag and metal is the content of iron oxide in slag, followed by the content of acid-soluble aluminum in molten steel, carbon content in molten steel, temperature of molten steel, silicon content in molten steel and basicity of slag.

Fig. 6
figure 6

Effect of compositions of molten steel and slag and temperature on manganese distribution ratio between slag and metal

For the process of top-slag adding, the biggest factor affecting manganese distribution ratio between slag and steel is iron oxide content in slag, followed by carbon content in molten steel, acid-soluble aluminum content in molten steel, silicon content in molten steel, molten steel temperature and slag basicity.

For the two processes, increasing the silicon content, carbon content and basicity of slag or reducing the acid-soluble aluminum content of molten steel, the temperature of molten steel and the content of iron oxide in slag, the manganese distribution ratio between slag and steel increased in different degrees.

It can also be observed from Fig. 6 that the manganese distribution ratio between slag and steel increases with increasing the temperatures of molten steel. The results show that aluminum and silicon are the most effective deoxidation agents for the two processes.

4.3 Mass transfer rate of manganese in molten steel and slag

The influence of the two processes on the manganese transfer in the slag and molten steel is discussed by kinetics.

$$ \left( {{\text{MnO}}} \right) = \left[ {{\text{Mn}}} \right] + \left[ {\text{O}} \right] $$
(20)

The manganese ore reduction is related to the manganese transfer at the slag and molten steel interface, as shown in Eq. (20). It is assumed that the mass transfer of [Mn] and [O] in the molten steel is the limiting factor; the reaction rate is expressed as follows:

$$ \frac{{{\text{d}} w_{{\text{[Mn]}}} }}{{{\text{d}}t}} = \frac{A}{V}\beta_{{{\text{Mn}}}} (w_{{\text{[Mn]}}} - w_{{\text{[Mn]}}}^{{_{*} }} ) $$
(21)
$$ \frac{{{\text{d}} w_{{\text{[Mn]}}} }}{{(w_{{\text{[Mn]}}} - w_{{\text{[Mn]}}}^{*} )}} = \frac{A}{V}\beta_{{{\text{Mn}}}} {\text{d}} t $$
(22)
$$ \lg \left( {\frac{{w_{{{\text{[Mn], }}t}} - w_{{\text{[Mn]}}}^{*} }}{{w_{{\text{[Mn], i}}} - w_{{\text{[Mn]}}}^{*} }}} \right) = \frac{A}{V}\beta_{{{\text{Mn}}}} t $$
(23)

where A is the bath surface area, m2; V is the volume of the slag, m3; w[Mn], t is the weight percentage of the manganese in molten steel at time t, %; \(w_{{\text{[Mn]}}}^{*}\) is the weight percentage of the manganese in the molten steel at manganese equilibrium, %; and βMn is the mass transfer coefficient of the manganese in the molten steel, m/s.

Figure 7a shows the changes in the manganese content at different time. The slope values corresponding to the furnace tests Nos. 1–6 are 0.044, 0.072, 0.061, 0.052, 0.081 and 0.079 L/min, respectively.

Fig. 7
figure 7

Changes in manganese content in molten steel and manganese oxide content in slag at different blowing time. a Mass transfer in molten steel; b mass transfer in slag. w(MnO), t Mass fraction of MnO in slag at time t; w(MnO),i mass fraction of MnO in initial slag

When the density of the slag is 2.9 kg/m3, the molten bath area is 0.11 m3, the bath diameter is 0.38 m, the molten steel mass is 200 kg, the slag mass range is 3.9–5.5 kg, and the manganese ore mass is 1.4 kg. By using Eq. (23) and these parameters, the mass transfer coefficients corresponding to the six furnace tests can be calculated and the βMn values are 0.0091, 0.0180, 0.0140, 0.0100, 0.0200 and 0.0220 m/s, respectively.

The mass transfer rate v of MnO in the slag is expressed as follows:

$$ v = - \frac{{{\text{d}} w_{{\left( {{\text{MnO}}} \right)}} }}{{{\text{d}} t}} = \beta_{{{\text{MnO}}}} (w_{{\text{(MnO)}}} - w_{{\text{(MnO)}}}^{*} ) \cdot \frac{A}{V} $$
(24)
$$ V = \frac{{m_{{{\text{slag}}}} }}{{\rho_{{{\text{slag}}}} }} $$
(25)

where \(w_{{\text{(MnO)}}}^{*}\) is the MnO concentration on the slag surface at manganese equilibrium, %; mslag is the mass of the slag, kg; ρslag is the density of the slag; and βMnO is the mass transfer coefficient of the slag layer, m/s. The value of \(w_{{\text{(MnO)}}}^{*}\) is zero.

Equations (24) and (25) can be further simplified into:

$$ - \frac{{{\text{d}} w_{{\left( {{\text{MnO}}} \right)}} }}{{{\text{d}}t}} = \frac{{A\beta_{{{\text{MnO}}}} \rho_{{{\text{slag}}}} }}{{m_{{{\text{slag}}}} }}w_{{\left( {{\text{MnO}}} \right)}} , $$
(26)

while the integral is

$$ - \lg \frac{{w_{{({\text{MnO}}),t}} }}{{w_{{{\text{(MnO),}}0}} }} = \frac{{A\beta_{{{\text{MnO}}}} \rho_{{{\text{slag}}}} }}{{m_{{{\text{slag}}}} }}t. $$
(27)

The change in the manganese content in the slag over time is displayed in Fig. 7b. The slope values corresponding to the furnace tests Nos. 1–6 are 0.007, 0.040, 0.031, 0.039, 0.038 and 0.057 L/min, respectively.

By using Eq. (27) and the above parameters, the mass transfer coefficients of MnO in slag corresponding to the six tests are 0.0012, 0.0078, 0.0054, 0.0060, 0.0074 and 0.0120 m/s, respectively.

The comparison of the mass transfer coefficients of the manganese in the molten steel and slag is shown in Fig. 8. For the range of 0–30 min, the mass transfer velocity of the manganese is greater in the molten steel than in the slag, and the mass transfer of the manganese in the slag is the limiting factor.

Fig. 8
figure 8

Comparison of mass transfer coefficients of manganese in slag and molten steel at 0–30 min

4.4 Changes in slag composition during manganese ore reduction

Figure 9 shows positions in the phase diagram of the slag composition for the wire feeding and top-slag adding processes, in which the slag of wire feeding process obtained is closer to the area of high melting point. The melting point of slag is slightly higher for the top-slag adding process than for the wire feeding process. Figures 10 and 11 show the result of the TG (thermogravimetric analysis) and DSC (differential scanning calorimetry), which were measured using a thermogravimetric analyzer with wire feeding and top-slag adding processes at 15, 25 and 30 min, and Table 4 shows the melting point measured using a thermogravimetric analyzer. Based on Figs. 911 and Table 4, it can be seen that the melting point calculated from the phase diagram is higher than the measured value, but the trend is identical.

Fig. 9
figure 9

Slag composition during manganese reduction

Fig. 10
figure 10

TG and DSC during top-slag adding process at 15 min (a), 25 min (b) and 30 min (c)

Fig. 11
figure 11

TG and DSC during wire feeding process at 15 min (a), 25 min (b) and 30 min (c)

Table 4 Composition and melting point of slag for wire feeding and top-slag adding process detected by energy spectrum

Figure 12 shows the composition of the slag phase for the top-slag adding process. During the slag phase (15 min), olivine composed of CaO, SiO2 and MnO is present, the reduction reaction of the slag is incomplete, and the refining slag has not formed. At 25 min, the refining slag has formed and the slag begins to nucleate and grow. The refining slag composed of CaO, SiO2 and MgO is formed at 30 min.

Fig. 12
figure 12

Composition of slag phase for top-slag adding process

Figure 13 shows the composition of the slag phase during the process of adding the manganese ore cored wire. The slag phase is characterized by the formation of the refining slag composed of CaO and SiO2 at 15 min. At 25 min, the refining slag has formed and begins to nucleate and grow. The CaO and SiO2 minerals contain P2O5. The refining slag composed of CaO, SiO2 and Al2O3 is formed at 30 min and is well developed.

Fig. 13
figure 13

Composition of slag phase for manganese ore cored wire feeding method

The compositions of the slag for the wire feeding and the top-slag adding processes detected by energy spectrum are shown in Table 4. In the top-slag adding process, the manganese oxide of slag is significantly more than that of the wire feeding process. Compared with the wire feeding process, when adding the manganese ore by top slag, the acidic component of the slag, i.e., manganese oxide, is higher, and the slag basicity is low, so that the melting point of the slag is lower. This should prove that the top-slag adding process has a low reaction rate and insufficient reaction.

5 Conclusions

  1. 1.

    The manganese yield is higher than 90% when the wire feeding method is used. The manganese yield is 43.26% after 1 min. In contrast, the manganese yield for the top-slag adding process is only 10.98% for the same duration.

  2. 2.

    The manganese distribution ratio between slag and steel can be decreased by either increasing the carbon and silicon contents in the molten steel and the slag basicity or by reducing the acid-soluble aluminum content in the molten steel and the TFe content in the slag.

  3. 3.

    The mass transfer rate of the manganese is greater in the molten steel than in the slag, and the limiting factor is the mass transfer of the manganese in the slag in the period of 0–30 min.

  4. 4.

    The slag composition area is closer to the area of high melting point when the wire feeding method is used.

  5. 5.

    The manganese ore wire feeding method forms the refining slag composed of CaO and SiO2 at 15 min; after 25–30 min, the refining slag with high basicity is formed and consists of CaO, SiO2 and Al2O3.