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H. El-Faramawy
M. Eissa
S Ghali*
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M. Eissa
S Ghali*
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International Journal of Statistics and Mathematics IF 2015: 4.232

Simulation of austenitic stainless steel oxidation containing nitrogen at temperature range 500 oC – 800 oC

S. Ghali*, M. Eissa, H. El-Faramawy

Accepted 24 August, 2014.

Citation: Ghali S, Eissa M, El-Faramawy H (2014). Simulation of austenitic stainless steel oxidation containing nitrogen at temperature range 500 oC – 800 oC. International Journal of Statistics and Mathematics, 1(3): 023-032.



Copyright: © 2014 Ghali et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

This article aims at estimation the contribution effect of nickel, nitrogen, time and temperature on the oxidation behavior of austenitic stainless steels. Therefore, 24 factorial design and MatLab program were used to the derived regression model. According to the model the mass gain (mg/cm2) can be calculated by equation:

mass gain

=-0.03234+0.016216[N%]+0.006195[Ni%]+0.000959*t+0.000113T-0.01704[N%][Ni%]-0.05566[N%]*t+5.76*〖10〗^(-5) [N%]T-0.00429[Ni%]*t-1.1*〖10〗^(-5) [Ni%]T+3.26*〖10〗^(-6) T*t+0.012523[N%][Ni%]*t+8.26*〖10〗^(-6) [N%][Ni%]T+0.000113[N%]T*t+8.51*〖10〗^(-6) [Ni%]T*t-2.6*〖10〗^(-5) [N%][Ni%]T*t

Where, [N%] & [Ni%] are nitrogen and nickel concentration in weight percent, T is temperature in Celsius, and t is time in hour.
The factorial design was based and applied for previous published work. The model showed that nickel has highest positive effect in retardation mass gain, while time and temperature enhance mass gain. Nitrogen has a little positive effect in increasing mass gain. The combination effect of nickel with nitrogen, time, and / or temperature has negative effect on mass gain with certain extent. The current regression model was used to predict the mass gain within temperature range 500 oC – 800 oC up to 8 hours. Interpretation was carried out between calculated and experimental results. The results of the derived mathematical model were found to be in a good agreement with the experimental data. The model is tested against oxidation behavior of steel grade 304L AISI at 800 oC in dry air.

Keywords: Factorial design, oxidation, Ni-N stainless, high temperature, MatLab

This article aims at estimation the contribution effect of nickel, nitrogen, time and temperature on the oxidation behavior of austenitic stainless steels. Therefore, 24 factorial design and MatLab program were used to the derived regression model. According to the model the mass gain (mg/cm2) can be calculated by equation:

 

Where, [N%] & [Ni%] are nitrogen and nickel concentration in weight percent, T is temperature in Celsius, and t is time in hour.

The factorial design was based and applied for previous published work. The model showed that nickel has highest positive effect in retardation mass gain, while time and temperature enhance mass gain. Nitrogen has a little positive effect in increasing mass gain. The combination effect of nickel with nitrogen, time, and / or temperature has negative effect on mass gain with certain extent. The current regression model was used to predict the mass gain within temperature range 500 oC – 800 oC up to 8 hours. Interpretation was carried out between calculated and experimental results. The results of the derived mathematical model were found to be in a good agreement with the experimental data. The model is tested against oxidation behavior of steel grade 304L AISI at 800 oC in dry air.