Introduction

Vanadium is an important alloying element in various steels. As a classic microalloying element, it is used in fine-grained structural steels with contents of < 0.2 mass pct.[1] It has a precipitation-hardening and transformation-retarding effect. However, vanadium has a lower grain refining effect than niobium and titanium. In high-temperature steels and heat-resistant ferritic steels, vanadium is also only used in small quantities < 1 mass pct.[1] It improves mechanical properties such as strength, tempering resistance, wear resistance and hardness. In high-speed steels vanadium is alloyed between 1 and 4 mass pct to increase wear resistance.[1] During the production of vanadium-alloyed steels, the VOx content in the slag can also increase to up to 5 mass pct.[2] More environmentally friendly iron- and steelmaking, like the direct reduction process with hydrogen, can also increase the VOx content in the slags. Direct reduced iron (DRI) produced with hydrogen is not comparable to the pig iron currently produced in the blast furnace, due to significantly changed process conditions. The reduction behaviour of the iron ores and the charging materials changes fundamentally, due to a different reducing agent. With hydrogen, a selective reduction process takes place. The iron from the ore is reduced, but most of the components of the gangue are not. Only the pure oxides of molybdenum, nickel and copper can be completely reduced. Especially elements like phosphorus and copper are mostly harmful for the steel and can only be removed with big effort from the melt.[3] Thus, it is possible that oxides like V2O5 are retained in increased amounts in direct reduction processes and are later found in the primary metallurgical slag. This is because the reaction between V2O5 and H2 has also a positive change of the standard Gibbs free energy, which is presented in Figure 1. The effect of this modulation regarding the dephosphorisation reaction must be analysed in this context.

Fig. 1
figure 1

Change of the standard Gibbs free energy for reactions of hydrogen with different oxides, calculated with FactSage 7.2 (FTOxid, all database)

Phosphorus is a harmful trace element in steel, which is mainly carried in by the iron ore.[5] It negatively influences the properties of the final steel. For example, high phosphorus concentrations in steel increase the probability of cold fracture, and the weldability, ductility and notched impact strength also decrease. The different steel grades on the market have different requirements for phosphorus content. However, for most steels the phosphorus content is limited to less than 0.045 mass pct.[6,7] The removal of phosphorus from a steel melt can theoretically be described in different ways. On the one hand by an ionic reaction as shown in Eq. [1], on the other hand by a molecular reaction as shown in Eq. [2].[8]

$$ \left[ {\text{P}} \right] + \frac{5}{2}\left[ {\text{O}} \right] + \frac{3}{2}\left( {{\text{O}}^{2 - } } \right) = ({\text{PO}}_{4}^{3 - } ) $$
(1)
$$ 2\left[ {\text{P}} \right] + 5\left[ {\text{O}} \right] = ({\text{P}}_{2} {\text{O}}_{5} ) $$
(2)

In the practical steelmaking process, dephosphorisation takes place in the basic oxygen furnace (BOF). The formed P2O5 is thermodynamically very unstable and would be reduced again. For this reason, the activity of the P2O5 must be reduced for a good dephosphorisation. This is possible by forming compounds with CaO. The real dephosphorisation reaction is shown in Eq. [3]. This also shows that phosphorus does not react with dissolved oxygen, rather with the FeO from the slag.[9]

$$ 2\left[ {\text{P}} \right] + 5\left( {{\text{FeO}}} \right) + n\left( {{\text{CaO}}} \right) = \left( {n {\text{CaO}} \cdot {\text{P}}_{2} {\text{O}}_{5} } \right) + 5[{\text{Fe}}] $$
(3)

A lot of fundamental investigations on the dephosphorization capabilities of liquid primary metallurgical BOF slags or electric arc furnace (EAF) slags were conducted in the past. Thereby the effect of CaO/SiO2 ratio, FeOx, MnO, Al2O3, MgO, TiO2 on the phosphorus partition or phosphorus capacity was studied. Several empirical correlations to predict the phosphorus partition or phosphorus capacity as function of temperature, chemical composition of the slags or optical basicity were proposed.[4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26] At the same time, unfortunately, very often these correlations work only for slags of the chemical composition for which they were determined.[11] Also, unfortunately, most studies from the past on the removal of phosphorus from crude steel were carried out with liquid slags of low basicity. Real industrial slags used in BOF are most often saturated or oversaturated with CaO, high basic and heterogeneous. Only a few studies have dealt with high basic slags in the past[8,11,21]

The aim of the present work is to investigate the phosphorus partition between the crude steel and high basic BOF slag as a function of V2O5 content. Thereby the industrial slag from one European integrated steel plant with the ratio CaO/SiO2 = 4.2 is selected as the initial slag, into which pure V2O5 in range up to 15 mass pct is mixed. The samples of slag and steel weighing 25 and 50 g respectively are taken for equilibrium tests. The test time is limited to 60 minutes to assure the minimum infiltration of slag and minimum damage of the MgO crucible. To check the possible achievability of a state close to equilibrium in the present work, equilibrium tests are carried out in both phosphorus transfer directions, “steel to slag” and “slag to steel”.

Experimental

A uniform experimental set-up of MFG40 (middle frequency generator) was used for the different test series. It is shown in Figure 2 and is presented in detail in a previous study.[11] Armco iron with 64 ppm of phosphorus is used for the equilibrium investigations of the phosphorus transfer from slag to steel, the chemical analysis of the Armco iron is shown in Table I. For the equilibrium investigations of the phosphorus transfer from steel to slag the Armco iron is alloyed with FeP25 (17.45 mass pct P, 0.618 mass pct Si, 0.508 mass pct Cr, 0.314 mass pct Al, 0.312 mass pct Ca, 0.055 mass pct Mn, 0.031 mass pct S) up to 790 ppm of phosphorus.

Fig. 2
figure 2

Experimental set-up of the induction furnace with (a) furnace lid, (b) furnace chamber, (c) thermocouple, (d) carbon crucible, (e) MgO crucible, (f) Al2O3 fibre paper, (g) slag, (h) steel, (i) MgO powder, (j) inductor, (k) ceramic overlay and (l) argon flow (measurements in mm)

Table I Chemical Analysis Armco Iron

The basis slag comes from one European integrated steel plant. It is ground up to the fraction < 100 µm, mixed and pressed into tablets. The chemical analysis of the basis BOF slag is shown in Table II. To study the relationship between phosphorus partition and V2O5 content, the experiments are done with 5, 10 and 15 mass pct of V2O5 in the slag. Thereby the V2O5 with purity of 99.6 pct (Acros Organics) is mixed to the basis slag. Pure, high density 99.8 mass pct MgO, ceramic crucibles (Final Advanced Materials, Bad Bergzabern, Germany) of 60 mm height, and inner and outer diameter of 32 mm and 38 mm, respectively, are used in present work. The MgO crucible is placed in a carbon crucible. For spatial separation between the two crucibles, an Al2O3 fibre paper is used on the wall and MgO powder on the bottom. Argon is supplied through a hole in the bottom of the furnace (4 l/min, 99.9990 pct purity) to provide an inert gas atmosphere. The temperature is measured with a type B thermocouple, which is partly located in the carbon crucible. For temperature control, a temperature calibration was periodically done. By measuring the temperature difference between the thermocouple in the carbon crucible and a thermocouple directly in the melt, the right temperature was secured.

Table II Chemical Analysis Initial BOF Slag

The precise compositions of the slags and the phosphorus partition before the experiments are shown in Table III. Certain amounts of V2O5, MgO and P2O5 are added to a basis slag to create the slags V1–V6. To reduce the wear of the MgO crucibles, the MgO content in all slags was increased up to 10 mass pct. In the first series of experiments, the phosphorus transfer from slag to steel is investigated as a function of different concentrations of V2O5. Therefore, the slags V1, V2 and V3 with a high initial phosphorus partition are used. In the second series of experiments, the phosphorus transfer from steel to the slags V4, V5 and V6 with a low initial phosphorus partition is investigated as a function of different concentrations of V2O5.

Table III Chemical Analysis (Mass Pct) and Initial Phosphorus Partition of the Slags Before Experiments

50 g of Armco iron are heated and melted in MFG-40 with a heating rate of 18 K/min. The slag tablet of 25 g is added after a short homogenisation time of about 5 minutes. The melt is hold at 1600 °C for 60 minutes. Cooling takes place in the furnace with about 60 K/min. The entire experimental sequence is shown schematically in Figure 3. Afterwards, the samples of steel and slag are analysed according to their chemical composition. Slag samples are prepared for analysis under the scanning electron microscope (SEM).

Fig. 3
figure 3

Schematic experimental sequence

Results and Discussion

The chemical composition of the steel and slag after the experiments are shown in Tables IV and V. In addition, Table IV presents the phosphorus partition LP from the chemical composition after experiments, calculated with Eq. [4], where (P) is the phosphorus content (mass pct) in the heterogeneous slag (respectively the phosphorus content in P2O5) and [P] is the phosphorus content (mass pct) in the steel.

$$ L_{{\text{P}}} = \frac{{({\text{P}})}}{{[{\text{P}}]}} $$
(4)
Table IV Chemical Analysis (Mass Pct) and Phosphorus Partition of the Steels After Experiments
Table V Chemical Analysis (Mass Pct) and Basicity of the Slags After Experiments

The results of all the experiments show that the phosphorus partition decreases constantly with increasing content of V2O5 in the high basicity slag. This relates to both test series “steel to slag” and “slag to steel”. Figure 4 shows this relationship in a diagram. Therefore, it can be assumed that V2O5 also reduces the phosphorus capacity of the slag. Figure 5 shows the phosphorus partition additionally as a function of the content of Al2O3 and FeO for the same BOF-slag. This research was done also in a previous study.[11] It is shown that under the same process conditions, V2O5 behaves in a similarly to Al2O3. Both oxides lower the phosphorus partition with increasing concentration. FeO, on the other hand, increases the phosphorus partition if it is present in larger amounts in the slag. However, this effect only occurs at clearly higher concentrations than is the case with V2O5 and Al2O3.

Fig. 4
figure 4

Phosphorus partition as a function of the content of V2O5 at 1600 °C

Fig. 5
figure 5

Phosphorus partition as a function of the content of Al2O3,[11] FeO[11] and V2O5 at 1600 °C

Pahlevani et al. were able to demonstrate a linear relationship between phosphorus content and vanadium content in the pig iron at temperatures and basicities of the slag that differed from those in this study.[27] This dependence also confirms the problematic dephosphorisation in melts with increased vanadium contents. Furthermore, it was confirmed that the activity coefficient of P2O5 in the slag is reduced by the addition of V2O5. As a result, more phosphorus can be bound in high-temperature phases at increased concentrations of V2O5 in the slag.[27]

The phosphorus capacity CP is defined by the reaction as shown in Eq. [5]. The calculation of the phosphorus capacity is done respectively with Eq. [6] using the mass action law. In general, it is assumed for this calculation that at sufficiently low concentrations, the activity is equal to the concentration or for gases to the partial pressure.

$$ \frac{1}{2}\left\{ {{\text{P}}_{2} } \right\} + \frac{5}{4}\left\{ {{\text{O}}_{2} } \right\} + \frac{3}{2}\left( {{\text{O}}^{2 - } } \right) = \left( {{\text{PO}}_{4}^{3 - } } \right) $$
(5)
$$ C_{{\text{P}}} = \frac{{{\text{Pct}} \,{\text{PO}}_{4}^{3 - } }}{{p_{{{\text{P}}_{2} }}^{\frac{1}{2}} \cdot p_{{{\text{O}}_{2} }}^{\frac{5}{4}} }} $$
(6)

For comparison, the phosphorus capacity was calculated from an empirical approach (Ap1) according to Eq. [7].[13] This equation also takes into account the content of V2O5.

$$ \log (C_{{\text{P}}} ) = \frac{46141}{T} + 0.020\left( {{\text{CaO}}} \right) - 0.010\left( {{\text{MgO}}} \right) - 0.077\left( {{\text{P}}_{2} {\text{O}}_{5} } \right) - 0.102\left( {{\text{SiO}}_{2} } \right) - 0.059\left( {{\text{Fe}}_{t} {\text{O}}} \right) - 0.040\left( {{\text{MnO}}} \right) - 0.084\left( {{\text{Al}}_{2} {\text{O}}_{3} } \right) - 0.079\left( {{\text{TiO}}_{2} } \right) - 0.080\left( {{\text{V}}_{2} {\text{O}}_{5} } \right) - 3.475 $$
(7)

The partial pressures of phosphorus and oxygen are defined by Eqs. [8] and [10]. The calculation is done with the equilibrium constants of the respective reactions, as shown in Eqs. [9] and [11].

$$ \frac{1}{2}\left\{ {{\text{P}}_{2} } \right\} = [{\text{P}}] $$
(8)
$$ K_{{\text{P}}} = \frac{{{\text{Pct}}\, {\text{P}}}}{{p_{{{\text{P}}_{2} }}^{\frac{1}{2}} }} $$
(9)
$$ \frac{1}{2}\left\{ {{\text{O}}_{2} } \right\} = [{\text{O}}] $$
(10)
$$ K_{{{\text{O}} }} = \frac{{{\text{Pct}}\, {\text{O}}}}{{p_{{{\text{O}}_{2} }}^{\frac{1}{2}} }} $$
(11)

Different approaches can be used to determine the equilibrium constants KP and KO. Equations [12] and [13] were used for the first calculation of the phosphorus capacity (Ap2).[13] Equations [14] and [15] were used for another calculation approach (Ap3).[14,15]

$$ K_{{\text{P}}}^{{{\text{Drain}}\,(\text{Ref}\, 13)}} = e^{{\frac{{\Delta G_{{\text{P}}}^{0} }}{ - RT}}} = e^{{\frac{ - 122,173 + 19.25T}{{ - RT}}}} $$
(12)
$$ K_{{\text{O}}}^{{{\text{Drain}}\, (\text {Ref}\,13)}} = e^{{\frac{{\Delta G_{{\text{O}}}^{0} }}{ - RT}}} = e^{{\frac{ - 115,750 + 4.63T}{{ - RT}}}} $$
(13)
$$ K_{{\text{P}}}^{{{\text{Maruoka}}\,(\text{Ref}\, 14)}} = e^{{\frac{{\Delta G_{{\text{P}}}^{0} }}{ - RT}}} = e^{{\frac{ - 155,700 + 5.4T}{{ - RT}}}} $$
(14)
$$ K_{{\text{O}}}^{{{\text{Oeters}} (\text{Ref}\, 15)}} = 10^{{\frac{5832}{T} + 0.356}} $$
(15)

The phosphorus capacities decrease with increasing V2O5 content in both test series, as it is shown in Figure 6. This also confirms the relationship between phosphorus partition and V2O5 content. The experiments on phosphorus transfer from slag to steel show lower phosphorus capacities overall than in the experiments on phosphorus transfer from steel to slag. As a result, less phosphorus can be removed from the melt during steel production with increased vanadium contents in the slag. This requires special attention in order not to reduce the quality of the finished product and still set the desired phosphorus contents. The higher phosphorus capacities achieved in the phosphorus transfer from steel to slag are useful, as only this transport direction is crucial for dephosphorisation.

Fig. 6
figure 6

Phosphorus capacity (logarithmic) as a function of the content of V2O5 at 1600 °C

Afterwards, the slags are analysed using SEM (AsB detector). Figures 7 and 8 show different SEM images of the slags produced with varying V2O5 content from the test series “slag to steel”. Different phases, which differ in their brightness, can be observed in the solid slag (B1, B2 and B3). The simulation with FactSage 7.2 (FTOxid, all database) at experimental temperature and standard pressure shows, in accordance with the EDX analysis, one solid phase and two liquid phases in the slags. The solid phase is of the type 3CaO·V2O5 and can be assigned to phase B2. The other calculated liquid phases in the slags could be B1 and B3. The calculated liquid slag phases differ in their chemical composition. The first calculated liquid phase is rich in CaO, SiO2, P2O5 and V2O5 and thus, similar to B3. The second calculated liquid phase should be the residual liquid slag, without P2O5 and V2O5 and is similar to B1. The proportion of phases in the microstructure was determined graphically with a software (OLYMPUS Stream Motion).

Fig. 7
figure 7

SEM image of the slag from V1b where V2O5,initial = 5mass pct (Phase proportion of B1 = 23.31 pct, B2 = 19.7 pct, B3 = 56.59 pct)

Fig. 8
figure 8

SEM image of the slag from V3b where V2O5,initial = 15mass pct (Phase proportion of B1 = 25.22 pct, B2 = 68.6 pct, B3 = 5.86 pct)

According to EDX analysis, B1 consists mainly of iron, oxygen, magnesium, manganese and calcium and is present in almost equal proportions in the microstructure, irrespective of the V2O5 content. The chemical composition of B2 is dominated by calcium, vanadium and oxygen, which form calcium vanadates. Iron and aluminium also occur in B2. The proportion of B2 increases strongly with increasing V2O5 contents in the slag. In B3, phosphorous is mainly bound in the form of calcium phosphates. EDX analysis confirms that this phase consists mostly of calcium, silicon, phosphorus and oxygen. In addition, vanadium also enriches in B3. Phosphorus and vanadium can be bound both in the phase B3. Due to increasing contents of V2O5 in the slag, the phosphorus partition decreases, as vanadium displaces the element phosphorus from B3 phase. Simultaneously, the phosphorus capacity of the slag decreases. With increasing contents of V2O5, the amount of phase B3 in the microstructure decreases, respectively.

All experiments were simulated with FactSage 7.2 (FTOxid, all database). The results of the simulation show the fractions of B1, B2 and B3 in the slag that can be observed in the SEM. The concrete results are shown in Table VI. According to this, the proportion of B1 and B2 increases with increasing V2O5 content and B3 decreases with increasing V2O5 content. This trend could be confirmed through the experiments.

Table VI Calculated Fractions (Mass Pct) of B1, B2 and B3 in the Slag

The simulation of the different vanadium-containing slags at experimental conditions shows that solid calcium vanadates of the type 3CaO·V2O5 exist in the liquid slags, which represent the observed phase B2. There is no 3CaO·V2O5 phase in the initial basic BOF slag. The 3CaO·V2O5 phase will bind CaO from the slag. According to Eq. [3], less phosphorus can be removed from the melt and the phosphorus partition decreases. Phosphorus gathers at 1600 °C preferentially in the liquid phase B3, which is also rich in CaO and SiO2. With increasing contents of V2O5 in the slag, vanadium displaces the phosphorus in B3. This mechanism could also reduce the phosphorus partition.

Conclusion

The influence of V2O5 on the phosphorus partition between a highly basic BOF slag and a steel melt was confirmed. It is shown that the phosphorus partition decreases with increasing contents of V2O5 in the slag. This seems to be almost independent of whether the phosphorus transfer from slag to steel or the phosphorus transfer from steel to slag was investigated. In both cases, phosphorus partitions between 150 and 160 could be achieved at a temperature of 1600 °C with an addition of 15 mass pct V2O5 and 1 hour holding time. The initial phosphorus partition was just under 700 in the “slag to steel” experiments and around 56 in the “steel to slag” experiments. Also, the phosphorus capacity of the slag decreases with increasing contents of V2O5. The evaluation of the slags obtained in the SEM shows in which phases phosphorus is bound in the slag. Vanadium displaces phosphorus from a liquid slag phase, which is also rich in CaO and SiO2. In addition, the solid phase of the type 3CaO·V2O5 exists with increasing contents of V2O5 more frequent at experimental conditions. In this case, more CaO, which is necessary for dephosphorisation, is bound. These facts confirm the decreasing effect of V2O5 in the slag on the phosphorus partition.