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A Rail-Temperature-Prediction Model Considering Meteorological Conditions and the Position of the Sun

  • Sung Uk Hong
  • Hyong Uk Kim
  • Nam Hyoung Lim
  • Kyung Ho Kim
  • Hongjip Kim
  • Seong J. ChoEmail author
Regular Paper
  • 17 Downloads

Abstract

In railway-safety management, the rail temperature, which directly affects the buckling of a rail, is very important. Train companies have been measuring rail temperature directly to prevent buckling and to limit speeds on trains. However, since it is difficult to directly measure the temperature distribution over an entire rail, various models for predicting this temperature using climate information have been developed. In this study, we propose a novel rail-temperature-prediction model based on the energy-equilibrium equation with consideration of the position of the sun. When compared with previous models, the newly proposed model shows higher performance in terms of root-mean-square error and R-squared value. It is expected to be very helpful for train-safety management.

Keywords

Rail temperature Solar position Thermodynamic equilibrium Prediction model 

List of Symbols

a

Directional orientation of the system

h

Strip thickness

delta

Difference between the measurement year and the year 1949 [year]

jd

Julian day [h]

day

Duration from January 1 to the measurement time (0–364) [day]

hour

Hour of the day (0–24) [h]

n

Hour from 2000.01.01 to the measurement time [h]

L

Mean longitude (0–360) [°]

G

Mean anomaly (0–360) [°]

I

Celestial longitude (0–360) [°]

ep

Obliquity of the ecliptic [°]

ra

Right ascension (0–360) [°]

dec

Declination (− 90 to 90) [°]

gmst

Greenwich mean sidereal time (0–360) [°]

lmst

Mean sidereal time [h]

lte

Longitude (− 180 to 180) [°]

lat

Latitude (− 90 to 90) [°]

ha

Hour angle (− 12 to 12) [h]

αsun

Altitude of the sun (− 90 to 90) [°]

Φsun

Azimuthal angle of the sun (0–360) [°]

Sshadow

Shadow area of the rail [m2]

Ssun

Normalized solar-incidence area [m2/m]

Ssun

Solar-incidence area [m2]

Lsun

Distance from the sun to earth [m]

SA

Absorptivity in rail [#]

SR

Solar radiation [W/m2]

As

Rail-surface area exposed to the sun [m2]

hconv

Convection coefficient [W/m2K]

Ac

Rail-surface area affected by convective heat transfer [m2]

Tr

Rail temperature [°C]

T

Air temperature [°C]

εr

Emissivity of the rail [°C]

σ

Stefan–Boltzmann constant [W/m2 K4]

Ar

Rail-surface area affected by radiant heat [m2]

Tsky

Air temperature above cloud height [°C]

ρr

Density of the rail [kg/m3]

Cr

Specific heat of the rail [J/Kgk]

Vr

Volume of the rail [m3]

Notes

Acknowledgements

This work was supported by Chungnam National University, the National Research Foundation of Korea (NRF) grant (no. 2017R1D1A3B03032910) funded by the Korean government, and the Railroad Technology Research Program (RTRP) Grant (No. 18RTRP-B113580-03) funded by the Ministry of Land, Infrastructure, and Transport of the Korean government.

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Copyright information

© Korean Society for Precision Engineering 2019

Authors and Affiliations

  1. 1.School of Mechanical EngineeringChungnam National UniversityDaejeonSouth Korea
  2. 2.Department of Civil EngineeringChungnam National UniversityDaejeonSouth Korea
  3. 3.A-Best, LtdSeoulSouth Korea

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