Additionally to the good explanation already given: in your spilled water the water molecules don’t have all the same temperature. There are some that move faster, others slower. The very fast ones are hot, the other colder. Some of them are warm enough to evaporate, while most of them are too cold to do that. As the hot ones leave, the spilled water cools down ever so slightly, and the warm air around heats the spilled water up again till they have the same temperature. This causes some to molecules to gain again enough speed to evaporate. So the air keeps on warming up, the water keeps on evaporating. This circle goes on until all water is evaporated. Wind just accelerates the process as it drags the hot water away from the spilled water much faster.
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