oh great. what did i get myself into. you are actually making me think about that stuff i read in my clever books![]()
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It's not. The sensible heat flux will be greater. That and the radiative heat flux are two different things.
edit: hm, you may well have a point about the wind not being that important for snow surface temp. I am used to thinking about what radiative cooling at night will do for the air temp at about 2m above ground and the wind will definitely prevent it from getting as cold as it coud there.
Basically you are making the air colder like that, not so much the snow. Ofcourse really cold air will eventually affect the snow but to a lesser extent than what the snow can do to itself be giving off radiation.
Side note: no idea about your part of the world but if we get strong cold wind, it usually brings clouds and humidity with it, it doesn’t just show up to make a nice overnight freeze. We often get a very warm wind, which eats away the snow so maybe I just associate wind with warm weather and sucky snow.
i am attempting to get a degree in meteorology but not quite there yet.![]()
Stefan boltzmann law: s x e x T^4 (your formula in edit 2 should have different values e for Ta and Ts). This gives the emitted radiation of a body in Watt per m^2 of surface area. How many molecules of air would you need to get enough surface area to make a big difference in the net flux of radiation on the surface? Don't forget the particles emit in every direction, not just towards the ground.
What amount of radiation the surface emits does not depend on the difference in temperature with the surroundings. The snow will send out radiation regardless of what is around it (be it rocks, trees, “air particles”). On angled slopes, under trees or clouds it may well also receive radiation from these sources, significantly changing the net flux of radiation and potentially preventing freezes.
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