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Temperature modeling and analysis of transfer bar using hot coil box technology

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Abstract

When the width, thin steel strip is produced by hot tandem rolling, hot coil box technology is usually adopted, which is one of the key links in the entire production line. The hot coil box has a heat preservation effect on the transfer bar, which makes the temperature distributed uniformly, reducing energy consumption. Thus, it can improve product quality, and is beneficial to the control of thickness and shape. The temperature prediction of the transfer bar is very important, and its accuracy affects the calculating accuracy of the rolling force and the forecasting of the microstructure for strip in the finishing rolling. This paper investigates the temperature distribution of transfer bar from the rough mill delivery to the finish mill entrance. The boundary conditions for transfer bar passing across the transfer table and the equivalent thermal conductivity of the transfer bar coil are studied, finite difference equation is established. Temperature evolution of transfer bar and the influence of different process parameters on the temperature are obtained. Finally, the high accuracy of the model is verified by the measured data.

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Data availability

The datasets supporting the results of this article are included within the article.

Abbreviations

T :

Temperature, ℃

c :

Specific heat capacity, j/kg ℃

k :

Thermal conductivity, w/m ℃

ρ :

Density, kg/m3

ε :

Emissivity factor

σ :

Stefan Boltzmann constant, w/m2 ℃4

l :

Characteristic length, m

v :

Velocity, m/s

μ :

Kinematic viscosity, m2/s

α :

Thermal diffusivity, α = ka/ρc

Re :

Reynolds number, Re c = 5 × 105

Pr :

Prandtl number, Pr = μ/α

Nu:

Nusselt number

Gr :

Grashof number

D :

Diameter of roller, m

d :

Distance between rollers, m

δ :

Thickness of rolled piece, m

g :

Acceleration of gravity, m/s2

ν :

Poisson’s ratio

E:

Modulus of elasticity, N/m2

h :

Convection coefficient, W/m2 ℃

H:

Microhardness, MPa

p :

Standard deviation of profile height, μm

P :

Compressive stress, MPa

R :

Thermal resistance, ℃/w

A :

Contact area, mm2

t :

Thickness, mm, \(t = t_{{\text{i}}} + t_{{\text{s}}} + t_{{\text{o}}}\)

s:

Tranfer bar

a:

Ambient

sr:

Outermost surface of coil

sx:

Side surface of coil

o:

Oxide layer

i:

Interface

cnd:

Interface

cnv:

Convection

rad:

Radiation

eq:

Equivalent

c:

Critical

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Funding

This study is supported by the National Natural Science Foundation of China (Grant No. 52175354).

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Contributions

Geng-sheng Ma conducted the temperature modeling and experiments. Lian-yun Jiang, Wen Peng and Xu-dong Li provided experimental supports and innovative advices. All authors read and approved the final manuscript.

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Correspondence to Geng-Sheng Ma.

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Ma, GS., Jiang, LY., Peng, W. et al. Temperature modeling and analysis of transfer bar using hot coil box technology. Int J Adv Manuf Technol 121, 5755–5766 (2022). https://doi.org/10.1007/s00170-022-09461-0

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  • DOI: https://doi.org/10.1007/s00170-022-09461-0

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