Global Change ENVE 118
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This 1 page Class Notes was uploaded by Joy Braun on Thursday October 29, 2015. The Class Notes belongs to ENVE 118 at University of California - Merced taught by Anthony Westerling in Fall. Since its upload, it has received 44 views. For similar materials see /class/231719/enve-118-university-of-california-merced in Environmental at University of California - Merced.
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Date Created: 10/29/15
There are three equations in Archer on pages 2425 and two of them are wrong The first equation is supposed to represent Iupyatmos Idownyatmos Iupygmu d 25014atmos so39T4ground This equation is consistent with the layer model as described in the chapter That is the energy radiated by the atmosphere back toward the ground plus the energy radiated by the atmosphere toward space has to equal the energy absorbed by the atmosphere 0T4gmmd is the energy radiated upwards by the ground and s is the fraction of that absorbed by the atmosphere The next equation at the top of page 25 is supposed to represent the energy budget for the ground Iupground Iinsolar 1downatmos solIAground 13900 Isolar 4 8O39T4atmos but this is not correct 80T4gmmd is the energy from the ground that is absorbed by the atmosphere not the energy radiated up from the ground The correct equation should be O 1 4ground 13900 Isolar 4 so39T4atmos That is why I was thinking that the s on the left hand side of the equation had to be different from that of the atmosphere and equal to 1 Otherwise the equation makes no sense The third equation is supposed to represent the energy budget for the upper boundary of the atmospheric layer or lupyatmos Iinysolar mm 1 00 1501 4 This is also incorrect In equilibrium the energy ux from the sun has to equal the total energy emitted upwards from the atmosphere 80T4mm05 is only the energy that was absorbed by the atmosphere and reemitted upwards There is another component that is missing the energy emitted from the ground that passes through the atmosphere or 18 0T4gmmd The equation in Archer should have been 15 014 soT m 1 00 1501 4 If we use the first equation at the top of this page 280T4amms SOT4gmu d to simplify this equation we get 15 014 550T4gmund 1 00 1501 4 if we solve this equation for T4gmmdwe get Tgmmd loc 1501Zr 4Ol 23925 Then as 8 increases the denominator decreases and Tgmmd increases as expected
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