Time-Temp relationship with water/ice phase-change

[Ed Boon]

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

 

[Ed Boon]

any equations would help