The area of the pool is 82 m², it will be in london. Does anyone know the formula to work this out too, I think this is quite complicated so even an approximate time would be great.
How much time would it take for an open air swimming pool in the uk to go from 40º C to 37ºC?
Yes there is a lot of calculating to get the answer to this. I have done something like this long ago. If it is really important and you can't do it yourself, then send me an e-mail.
Actually, the calculation is area-independent. What is more important to know, is the depth. The deeper the pool, the longer it will take to cool.
Then the main process determining the chilling, is evaporation. Regardless of the location, try to find an estimate of daily evaporation (usually quoted as class 'A' pan evaportaion). It will be in millimetres (or points) per day. Here in Central Queensland, Australia, that is about 10 mm / day in summer and about 6mm / day in winter. You need to look up the latent heat of vaporisation of water, to find the amount of energy lost in evaporation, and then use the depth of the water, and the heat capacity of water, to find the temperature change per day.
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