Mathematical model for pearlite interlamellar spacing

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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?