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Kinetic model on manganese sulfide formation during solidification of steel

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Kinetic model on manganese sulfide formation during solidification of steel

D. You1a, C. Bernhard1b, S.K. Michelic1c and P. Presoly1d

1 Montanuniversität Leoben, Franz-Josef-Straße 18, 8700 Leoben, Austria

adali.you@stud.unileoben.ac.at, bChristian.Bernhard@unileoben.ac.at,

cSusanne.Michelic@unileoben.ac.at, dPeter.Presoly@unileoben.ac.at

During solidification of steel, the enrichments of sulfur and manganese in the residual liquid melt lead to the formation of manganese sulfide. The formation of manganese sulfide influences both casting process and final product quality, such as enhancing the hot ductility and promoting the acicular ferrite formation. In this work, a coupling model of manganese sulfide formation kinetics and microsegregation in steel is proposed. The model is capable to describe the nucleation and growth of manganese sulfide based on the classical nucleation and growth theory. The size and number evolution of the particles are descried using the Particle Size Distribution (PSD) and Particle Size Grouping (PSG) methods. For considering collisions of particles, an adjustable parameter was introduced and calibrated using experimental results. With the calibrated parameters, manganese sulfide formation in the samples with different sulfur contents and cooling rates are simulated. Compared with the experimental results, the size distributions of manganese sulfide are well predicted. It shows that the formation of manganese sulfide considerably reduces the sulfur and manganese segregation. Strengthening cooling condition and decreasing the sulfur content are in favor to obtain the fine dispersed particles.

Author for Correspondence: C. Bernhard Presenting Author: D. You

Preferred Contribution: Poster/Oral

Please submit your abstract before 1st November 2016, by email to info@sp17.info or online at the SP17 website: http://sp17.info

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Outline Introduction

Model description

Experiments

Table 1. Chemical compositions of analyzed steels (wt. %).

Samples C Si Mn S P

S1 0.22 0.03 1.40 0.0060 0.0055

S2 0.21 0.04 1.50 0.0021 0.0036

Calibration

Sources Collision factor (

𝑓𝑓

) Mean diameter (µm) Number (mm

-3

) Calculations

1 0.48 2.12×10

6

10 0.49 1.83×10

6

100 0.60 9.67×10

5

200 0.67 6.78×105

300 0.71 5.34×10

5

Experiment 0.54-0.65 5.05-6.22×10

5

0 2 4 6 8 10 12

0 20 40 60 80 100 120

Cooling rate (Ks-1)

Shell thickness (mm) A, C

B

Measured fields

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Simulated and experimental results

0.0 0.5 1.0 1.5 2.0 2.5

0.0 5.0x104 1.0x105 1.5x105 2.0x105 2.5x105 3.0x105

Measured Calculated

Number density (mm-3)

Diameter (µm)

0.0 0.5 1.0 1.5 2.0 2.5

0 10 20 30 40 50 60 70

}

Measured Calculated

B: 13.5 A: 25.4 S1: Cooling rate (Ks-1)

Measured Calculated

Percentage (%)

Diameter (µm)

}

0.970 0.975 0.980 0.985 0.990 0.995 1.000 0.00

0.05 0.10 0.15 0.20 0.25 3.0 3.5 4.0 4.5 5.0

A: 25.4 B: 13.5

Concentratios in liquid (%)

Solid fraction

0.000 0.001 0.002 0.003 0.004 0.005 0.006

Mass fraction of MnS (%)

S1: Cooling rate (Ks-1) Mn

S MnS

0.0 0.5 1.0 1.5 2.0 2.5

0 10 20 30 40 50 60 70 80

Measured Calculated

} }

S2(C): 20 S1(A): 60 Samples: Sulfur contents (ppm)

Measured Calculated

Percentage (%)

Diameter (µm)

0.970 0.975 0.980 0.985 0.990 0.995 1.000

0.00 0.05 0.10 0.15 3.0 3.5 4.0 4.5 5.0 5.5

S1(A): 60 S2(C): 20

Concentrations in liqiud (%)

Solid fraction Mn

S MnS

Samples: Sulfur content (ppm)

0.000 0.001 0.002 0.003 0.004 0.005 0.006

Mass fraction of MnS (%)

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