If there is an easily understandable problem that fascinates me compare to apparently how hard it is to model and solve accurately, and how little it has been studied, the time to cool down my cup of tea taking into account the evaporation of water comes up first in my mind.
I did a simple experiment: cool down water in my cup, once with a lid on top of it and once without. The results are unequivocal. It takes (for my cup) twice as much time to cool it down when the lid is on (and this agrees my theoretical heat balance up to 5%).
I would like then to take into account the evaporation of water as it cools down. But so far I haven't found great literature on the subject when I thought for such a little question there would be a huge mound of it.
What I have found so far
I found this article that gives the rate of evaporation of water at low pressure (up to 900 Pa). What is cool is that they derive the equations to solve the problem but I don't know how to implement them, nor what a tensor is and I would prefer using a correlation-based rate of evaporation as a function of temperature determined with the least square methods to correlate data to an equation model. And even for that, I don't find anything but I may have not searched correctly. It would be great to get data from 20 °C up to almost boiling water.