Modeling the Cooling Capacity of an Ice Rink

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I am modeling a large building with three ice rinks in it. The cooling load of the spaces associated with the rinks is massive when you include 2500+ spectators. I know that the ice rink itself (19290 ft squared, 4 inches thick) is going to provide cooling to the space, but I don't know how to accurately calculate the amount of cooling a sheet of ice that size would provide or how to incorporate it into the model. 

The biggest issue here is that the estimated load of the entire building has been set at 300 tons. The Olympic-sized arena alone (the one with all of the spectators) has a load of 261 tons for cooling, and upwards of 600 with the spectators included. Hopefully if I can model the additional cooling provided by the ice in the space, these numbers can be greatly reduced.

If anybody has any other advice on accurately modeling the arena which houses an ice rink (i do not have to model the rink itself as this is being done by another contractor with their own equipment), it would be greatly appreciated.

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