• Material Engineering

• Calculation of Carbon concentration in carburetion process

A piece of iron (or steel) of low carbon content is placed in a mixture gas of methane (CH₄) and carbon monoxide (CO), with its temperature maintained at about 950℃. The carburetion process results in a layer of higher carbon content (greater than 0.25 wt %) formed near the iron surface in order to further make heat treatment for it. The solvability of carbon in phase iron is 1.0 wt %. The diffusion coefficient of phase iron D at 950℃ is about . The distribution of carbon concentration in phase iron after carburetion (about three hours) is obtained through the solution of the diffusion equation of solid, or Fick’s Second Law

where 

The boundary condition and the initial condition are  

Comparison between solutions by use of FEM and analytical method:

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