Time-Temp relationship with water/ice phase-change

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The discussion focuses on the time-temperature relationship during the phase change of water and ice, specifically in the context of a freeze-thaw cabinet. The user seeks equations and information regarding the duration of phase changes at varying temperatures and ice quantities. Key factors influencing the phase change include thermal conductivity, specific heat, and the latent heat of fusion. Understanding these principles is essential for accurate modeling and predictions in the project. Relevant equations and data can significantly aid in the analysis of the freeze-thaw process.
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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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