Blood flow surrounded by skin?
Alright, with a low heat the blood vessels constrict (vasoconstriction) for the purpose of reducing steam loss by reducing the blood flow to the skin while keeping the heat centralized surrounded by the body's core. That means the skin cell would take smaller amount oxygen as there is decrease blood flow. As the result, the skin will get the heat up core blood away from areas that have significant temperature rise. The skin in return will cool and the warmth gradient between the skin and the environment will also become smaller.
As vasoconstriction take happens, "Vasodilation" can also go off as a response to greatly reduced skin temperatures that could potentially organize to cold injury. When skin temperatures crash down too low (below 50 degrees Fahrenheit), appendage vessels will amplify briefly a few times a minute in an attempt to lift up skin temperature minus sacrificing core warmth. That is the reason why you can hold rosy cheeks on a chilly day, even though the skin surface typically vasoconstricts surrounded by the cold.
When you are cold, your brain sends more blood to the center of your body to keep your internal organs at their commonplace temp of 98 degrees or so. Because the blood is moved from outer to inner when it's cold, the chilled skin cell require less oxygen, which make up for the reason of the blood person sent to the center of the body (well, not all of it obviously) If chilled skin cell required more oxygen, then when you are cold and blood is sent toward the center, in attendance would be harm to skin cell after long periods of time. Remember, when cell are cold, metabolic processes slow down, therefore requiring smaller quantity oxygen.
Keep in mind that the two areas surrounded by the body where in that are no blood vessels, however, are the epiderms and the cornea.