Time-Temp relationship with water/ice phase-change

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Ed Boon
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I am a college student working on a project, I was wondering if someone might share some info about the subject in the title. We are working with a freeze thaw cabinet and I am looking for equations/info on how much time the phase change will take at different surrounding temperatures for different ammounts of ice. Again, any information is appriciated, I am a EE and it has been a while since my calc-physics classes.
Thanks
 
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any equations would help
 

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