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A Mathematical Model to Characterize RH Desulfurization Process

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Abstract

A physical model based on similarity principles was built to simulate RH desulfurization process. In order to quantitatively analyze RH desulfurization process, a mathematical model was proposed. By analyzing experimental results with the mathematical model, an empirical formula whose determination coefficient was 0.98 was given to express the relationship between transient desulfurization efficiency and time. All the determination coefficients of four fitted curves based on four repeated experiments with different gas flow rates were more than 0.94, which was the exact evidence of the rationality of the empirical formula. Meanwhile, it was found that transient desulfurization ability increased firstly and then decreased with increasing gas flow rate and reached the maximum value when the gas flow rate was 1.8 m3/h. A plenty of repeated trials showed the same rule, which validated the mathematical model and the conclusions obtained from physical experiments.

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Abbreviations

D:

Inner diameter of down-leg, m

g:

Gravity, m/s2

l:

Characteristic length, m

m:

Mass of oil staying in water, kg

M:

Mass of all oil, kg

P:

RH pressure value, Pa

Po:

Normal atmosphere pressure, Pa

Q:

Gas flow rate, m3/h

Re:

Reynolds number

t:

Desulfurization time, s

u:

Flow velocity, m/s

υ:

Velocity of molten steel in down-leg, m/s

γ:

Kinematic viscosity, m2/s

δ:

Oil film thickness, mm

δf:

Oil film thickness after all oil droplets floating up-on surface of water, mm

λ:

Geometric similarity ratio of physical model and prototype

ρ:

Density, kg/m3

ρst-dsl:

Interfacial tension of steel desulfurizer, N/m

σw-o:

Interfacial tension of water-oil , N/m

Γ:

RH desulfurization ability, s

φ:

RH desulfurization efficiency

ξ:

Determination coefficient

ω:

Transient desulfurization efficiency; Subscript

Ar:

Argon gas

dsf:

Desulfurizer

m:

Physical model

N2:

Nitrogen gas

o:

Oil

p:

Prototype

st:

Molten steel

T:

Transient

w:

Water

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Authors and Affiliations

  1. School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, 100083, Beijing, China

    Hong-bo Yang (Doctor Candidate), Shu-feng Yang (Post-doctor, Lectureship), Jing-she Li & Jiang-shan Zhang

Authors
  1. Hong-bo Yang
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  2. Shu-feng Yang
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  3. Jing-she Li
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  4. Jiang-shan Zhang
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Corresponding authors

Correspondence to Hong-bo Yang or Shu-feng Yang.

Additional information

Foundation Item: Item Sponsored by National Natural Science Foundation of China (51304016, 51374021)

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Yang, Hb., Yang, Sf., Li, Js. et al. A Mathematical Model to Characterize RH Desulfurization Process. J. Iron Steel Res. Int. 21, 995–1001 (2014). https://doi.org/10.1016/S1006-706X(14)60174-6

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