Mathematical model for pearlite interlamellar spacing

AI Thread Summary
Increasing the cooling rate in pearlite results in finer interlamellar spacing due to the creation of more nucleation sites for lamella precipitation. A mathematical model was attempted using Gibbs free energy change during nucleation and the rate of nucleation, but it did not yield conclusive results. The discussion seeks suggestions for a more effective mathematical model to explain interlamellar spacing in pearlite. Additionally, there is a call for further information or rewording of the original post to generate more responses. The inquiry highlights the complexity of modeling pearlite's structural changes under varying cooling rates.
Hussey
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It is seen that interlamellar spacing in pearlite becomes finer by increasing rate of cooling. theoretically this is because the rapid cooling rate produces more nucleation sites for lamella percipitation. so i tried to create a mathematical model using gibbs free energy change during nucleation and the expression for the rate of nucleation. but i reached no conclusion with this model. can anyone please suggest a better mathematical model for interlamellar spacing in pearlite?
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
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