phy392_lecture06_web_2011

phy392_lecture06_web_2011 - PHY392S Physics of Climate...

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PHY392S Physics of Climate Lecture 6 – Web Notes Greenhouse Models A Simple Greenhouse Model A Leaky Greenhouse Model Greenhouse Gas Absorption PHY392 - Physics of Climate Lecture 6, Page 1
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A Simple Greenhouse Model - 1 Next step – include the atmosphere in our simple radiative equilibrium model – a Half-Dimensional Climate Model Question: How? Treat the atmosphere as a simple thin shell covering the planet. “Unroll” the sphere to obtain a planar diagram. Solar input to this plane: the average (over all orbital and global positions) input on a unit area of the planar surface: (factor of 4 = ratio of disk area to surface area of a sphere). 4 / S o Surface Atmosphere AS o /4 S o /4 F S F A F A Solar Thermal PHY392 - Physics of Climate Lecture 6, Page 2
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Incident Solar Radiation Total output from the sun: Q = 3.87 × 10 26 W Solar constant at Earth: S o = Q / 4 π R 2 earth-sun 1367 W/m 2 where R earth-sun = 1.5 × 10 11 m Average incoming solar flux density / unit area at Earth: = energy intercepted per unit time / surface area = ( π r 2 S o ) / (4 π r 2 ) = S o /4 = 342 W/m 2 PHY392 - Physics of Climate Lecture 6, Page 3
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Hypothesis: Atmosphere is a planar layer of material that is transparent to solar radiation opaque to thermal radiation Definitions: S o /4 is the average solar input (W/m
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This note was uploaded on 02/19/2011 for the course PHYSICS 392 taught by Professor Weak during the Spring '11 term at Toledo.

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phy392_lecture06_web_2011 - PHY392S Physics of Climate...

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