An FCC iron-carbon alloy initially containing 0.20 wt% C is carburized at an elevated temperature and in an atmosphere w
Posted: Sun Jul 03, 2022 12:25 pm
An FCC iron-carbon alloy initially containing 0.20 wt% C iscarburized at an elevated temperature and in an atmosphere whereinthe surface carbon concentration is maintained at 1.0 wt%. Ifafter 52 h the concentration of carbon is 0.35 wt%at a position 3.5 mm below the surface, determinethe temperature at which the treatment was carried out. Youwill need to use data in the two tables below to solve thisproblem.
1. From Equation 5.5 calculate the Gaussian error function giventhe boundary conditions of this problem:
2.
n Part 1 you determined the value of erf(x2Dt√)erf(x2Dt),which, in terms of the following table is erf(z). Now it is necessary to determine the value of z—thatis the value of x2Dt√x2Dt — which requires that weinterpolate.
What is z?
3.
Calculate D, the diffusion coefficient, inm2/s at the specified temperature
4.
What is the heat-treating temperature in °C?
1. From Equation 5.5 calculate the Gaussian error function giventhe boundary conditions of this problem:
2.
n Part 1 you determined the value of erf(x2Dt√)erf(x2Dt),which, in terms of the following table is erf(z). Now it is necessary to determine the value of z—thatis the value of x2Dt√x2Dt — which requires that weinterpolate.
What is z?
3.
Calculate D, the diffusion coefficient, inm2/s at the specified temperature
4.
What is the heat-treating temperature in °C?