A Study for Boronizing Process within Nonextensive Thermostatistics

Özhan Kayacan,Salim Sahin,Filiz Tastan

doi:10.3390/mca15010014

Özhan Kayacan, Salim Sahin + Show 1 more

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https://doi.org/10.3390/mca15010014

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Abstract

In this study, diffusion mechanism of the boronizing process of AISI 1040 has been investigated. A nonlinear diffusion equation, which was proposed earlier, has been employed and compared with the experimental data. An interesting property of the diffusion equation used here is that it establishes a connection between the diffusion process and nonextensivity. The theoretical model also exhibits a possible connection between the exponents appeared in the differential equation and the entropic index. In this manner, the possible effects of nonextensivity on the boronizing process have been shown theoretically. We believe that a diffusion equation based on the nonextensive formalism is first applied to the boronizing process in literature.

Highlights

The surface of industrial component may require treatment to enhance the surface characteristic
We have worked on the boronizing process by using a nonlinear diffusion equation and aimed to study the boronizing process within nonextensive formalism
It is interesting to note that the q-exponential function of Tsallis statistics appears in the solution of the nonlinear diffusion equation

Summary

Introduction

The surface of industrial component may require treatment to enhance the surface characteristic. A number of different surface hardening process are commonly applied to metals in order to increase their surface performances. Two methods for that are known: (i) diffusing of small atoms on the metal surface leading to formation of an interstitial solid solution, (ii) a chemical reaction between the diffused atoms and those of basic metal forming of new compounds in the superficial layer [1,2]. Boronizing, is a thermochemical treatment that diffuses boron through the surface of metallic substrates. The introduced boron atoms react with the material and form a number of borides. According to the Iron–Boron equilibrium diagram, diffusing boron into the iron crystalline lattice leads to the formation of two kinds of iron borides (FeB and Fe2B) [4]

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