phy392_lecture11_web_2011

# phy392_lecture11_web_2011 - PHY392S Physics of Climate...

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PHY392S Physics of Climate Lecture 11 - Web Notes Clouds Two-Stream Model Temperature Profile Inclusion of Clouds in a the Two-Stream Model The Visible Approximation A Scattering Model for Clouds PHY392 - Physics of Climate Lecture 11, Page 1

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Reminders Problem Set #1 Late deadline is in class today, February 14, i.e., NOW! Those submitted have been marked, I will return them on Weds. Solutions will be posted online, password protected. .. Problem Set #2 Handing out today, due in class Monday, February 28 Late penalty is 5% per day, up to 7 days Mid-term Test 3:00 - 4:00 (we can start at 3.0 sharp), in class, Weds., March 2 Covers all material up to and including Lecture 12: I will post last year’s mid-term test and solutions (with password) Will include a combination of short answer and calculation questions Supplementary Notes I will post a set of notes that were used in PHY315 and which cover You may find these useful when studying PHY392 - Physics of Climate Lecture 9, Page 2
Recall the Two-Stream Model We solved for the upward and downward flux densities and π B: 2 / * T F 2 / ) 2 * ( T F 4 e down 4 e up χ σ = + χ σ = 2 ) 1 * ( T T B 4 e 4 a + χ σ = σ = π PHY392 - Physics of Climate Lecture 11, Page 3

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tropopause Two-Stream Model Temperature Profile Can we derive a temperature profile from the two-stream model? Yes - replotting the graph as z vs T is a non-trivial job that requires detailed knowledge of the atmosphere, but it can be done. The resulting profile is as shown. This is a “super-adiabatic” lapse rate and is unstable to vertical convection. Therefore the Earth’s atmosphere cannot be in a radiative equilibrium because that state is unstable. It must show a tendency towards that state which is countered by the vertical motions which try to keep the profile sub-adiabatic (convection). The atmosphere tends to “hang-around” the adiabatic lapse rate because it is trying to balance these two forces. PHY392 - Physics of Climate Lecture 11, Page 4 Note: we’ll talk about adiabatic lapse rates and convection soon!
Two-Stream Model and the Tropopause The tropopause is the surface situated at a height of about 10 km in mid latitudes which divides: the region below (the troposphere or turning-sphere), in which convection is dominant mechanism of vertical heat, from the region above (the stratosphere) which is much more stably stratified and where radiative transfer is dominant. PHY392 - Physics of Climate

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phy392_lecture11_web_2011 - PHY392S Physics of Climate...

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