The skin inside my ears keeps drying out and flaking in February
Cold air holds less moisture than warm air, which is why winter air is often much drier. As you step outside, the low humidity of the cold air can strip moisture from your skin. Wind can exacerbate this effect by increasing the rate of evaporation from your skin's surface.
Wearing a hat or earmuffs can help protect your ears from the harsh elements. Additionally, applying a thin layer of moisturizer to the outer ear can help lock in moisture and protect against the drying effects of cold, windy air.