Time Estimation for Non-Steady State Diffusion in Steel Alloy

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SUMMARY

The discussion focuses on estimating the time required to achieve a carbon concentration of 0.45% in a steel alloy through non-steady state diffusion. The scenario involves a carburizing heat treatment lasting 10 hours, with a specific interest in a 5.0 mm position within the alloy. Participants highlighted the importance of manipulating the error function (erf) in the diffusion equation to derive the necessary time for the desired concentration. The coefficient of diffusion and concentration values were confirmed to be equal for both scenarios, facilitating the calculation.

PREREQUISITES
  • Understanding of non-steady state diffusion principles
  • Familiarity with the error function (erf) in mathematical modeling
  • Knowledge of carburizing heat treatment processes
  • Basic skills in manipulating diffusion equations
NEXT STEPS
  • Study the mathematical properties of the error function (erf) in diffusion calculations
  • Research the principles of carburizing heat treatment in steel alloys
  • Learn about the diffusion coefficient and its role in material science
  • Explore advanced techniques for solving non-steady state diffusion equations
USEFUL FOR

Materials scientists, metallurgists, and engineering students focusing on diffusion processes in steel alloys will benefit from this discussion.

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[SOLVED] Non-Steady State Diffusion

Homework Statement


For a steel alloy below, it has been determined that a carburizing heat treatment of 10 hr duration will raise the carbon concentration to 0.45%. Estimate the time necessary to achieve the same concentration at a point 5.0 mm position for an identical steel and at the same carburizing temperature.


Homework Equations





The Attempt at a Solution


Have not picked on what to do but I am currently still manipulating the formula of non-steady state diffusion. So if I can get push in the right direction, that would be appreciated.
 
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Never mind guys I got it. Didnt know one could manipulate the erf function as I did.
 


I have the same problem and am completely stuck. I know that the coefficient of diffusion and Concentration values are equal between the two situations... but am completely at a loss of how to manipulate the equation to determine the time.

.. need a little push.
 

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