The Error Function and Carburization
Carburizing steel is the most common problem, where a low carbon steel is held in a gas atmosphere that produces a surface carbon content that is usually above 1 weight percent. A carbon potential of a gas atmosphere is defined by the carbon content developed at the steel surface in contact with the atmosphere. There are simple approximations for the error function that are adequate for engineering calculations and for incorporation into spreadsheet programs. A very convenient approximation for the error function, which can be incorporated into spreadsheet calculations, includes polynomial equations. Using the polynomial solution, carburization profiles are calculated and are determined for a 1022 plain carbon steel held at 927°C with a carbon potential of 1.1 weight percent.
D. C. Van Aken, "The Error Function and Carburization," Industrial Heating, BNP Media, Inc., Jan 2000.
Materials Science and Engineering
Article - Journal
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