Table 4 Regression equations at temperatures of 1600–1900 °C.

From: Modeling and development of technology for smelting a complex alloy (ligature) Fe-Si-Mn-Al from manganese-containing briquettes and high-ash coals

No

T, °C

Regression equations

1

1600

CSi(alloy) = − 12.552 + 0.571∙C + 0.526∙Q − 1.835∙10−3∙C2 + 4.738∙10–3∙Q2 − 1.308∙10–3∙C∙Q

2

CMn(alloy) = 100.417 + 2.153∙10–3∙C − 0.389∙Q − 0.618∙C2 + 3∙10–3∙Q2 − 3.007∙10–4∙C∙Q

3

αSi(alloy) = 3.832 + 0.736∙C − 0.234∙Q − 1.860∙10–3∙C2 + 5.910∙10–4∙Q2 − 1.202∙10–3∙C∙Q

4

1700

CSi(alloy) = 8.587 + 0.367∙C + 0.083∙Q − 0.001∙C2 − 0.002∙Q2 − 0.001∙C∙Q

5

CMn(alloy) = 89.993 − 0.312∙10–3∙C − 1.204∙Q + 4.426∙10–4∙C2 + 0.024∙Q2 − 0.002∙C∙Q

6

αSi(alloy) = 19.6 + 0.783∙C − 0.469∙Q − 0.003∙C2 + 0.006∙Q2 − 0.003∙C∙Q

7

1800

CSi(alloy) = 5.877 + 0.418∙C + 0.216∙Q − 0.002∙C2 + 0.005∙Q2 − 0.001∙C∙Q

8

CMn(alloy) = 93.595 − 0.699∙C − 0.227∙Q − 0.003∙C2 + 0.009∙Q2 − 0.004∙10–4∙C∙Q

9

αSi(alloy) = 25.6 + 0.718∙C − 0.625∙Q − 0.002∙C2 − 0.005∙Q2 + 0.003∙C∙Q

10

1900

CSi(alloy) = 7.154 + 0.455∙C + 0.004∙Q − 0.002∙C2 − 0.004∙Q2 + 0.004∙C∙Q

11

CMn(alloy) = 70.12 − 0.314∙C + 0.299∙Q + 5.645∙10–4∙C2 − 0.001∙Q2 − 0.002∙10–4∙C∙Q

12

αSi(alloy) = 40.817 + 0.574∙C − 1.230∙Q − 0.002∙C2 − 0.002∙Q2 + 0.006∙C∙Q

  1. *C coal, Q quartzite.
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