The phrase "air feeling" refers to the atmosphere or mood in a place or situation. It means that you can sense or perceive the general vibe or energy in the air. Full definition
But through this experience, I realized just how wonderful the fresh open air felt for my body, mind, and spirit. (mindbodygreen.com)
After struggling to get us all through the door, I am covered in sweat and my makeup is running but the cold air feels so refreshing. (breastfeedingneeds.com)