Surely the combined air molecules that are hitting your skin have the same temperature and possibly even more due to the increased kinetic energy?
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The human body dumps a lot of heat into the air around it. It’s basically a massive heat pump and if you stand in still air for any amount of time, it will create a noticeable increase the heat energy of the air molecules next to your skin. This reduces your body’s ability to dump heat into them. When the wind blows new air molecules next to your skin, they feel colder because your body can immediate start dumping heat into these new molecules, making your body feel colder. This is how fans make you feel colder even though from a strict thermodynamics standpoint, they are just dumping energy into the system.
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