I put a drop of water on the table and blew it with air. The water moved with the wind. Why was there no trace of water left where the water had passed?

It still has something to do with the material of the desktop. For water, the material is divided into two types: wetting and non-wetting. This is related to surface tension.

The one you have tried is probably non-wetting. Materials

In addition, did you blow too hard and most of the water was blown away? Only a thin layer will easily evaporate and dry if you blow hard. You can use salt water or impurities. Blow through the muddy water to see if there are any water stains. If it has evaporated, there should be water stains