The 2008 K&T cartoon gives a NET
upward radiation flux from the surface of 33w / m2 with a downward adjustment to water vapour to 76w / m2 and conduction to 16w / m2 but the point holds; that point is more net heat is leaving the surface through methods other than radiation, particularly water; that to me means 2 things; water is a dominant mover of heat compared to CO2 and the sun's 168/166 w / m2 is a far more dominant heater than CO2 backradiation.
The internal kinetic energy is taken as the upward long wave energy flux at the top of the atmosphere, and the potential energy is
the upward radiation flux from the surface.
When expressed as a flux (a vector), OLR and DLR cancel to produce a net
upward radiation flux (ca 390 - 333 = 56 W / m2).
Not exact matches
This means that there is an
upward surface
flux of LW around (~ 390 W / m2), while the outward
flux at the top of the atmosphere (TOA) is roughly equivalent to the net solar
radiation coming in (1 - a) S / 4 (~ 240 W / m2).
But then there's feedbacks within the stratosphere (water vapor), which would increase the stratospheric heating by
upward radiation from below, as well as add some feedback to the downward
flux at TRPP that the
upward flux at TRPP would have to respond to via warming below TRPP.
Trends as a function of CSD, Saturation: If the temperature varies monotonically over the distance from which most of the
radiation reaching that level is emitted, then increasing the CSD will bring the
upward and downward
fluxes and intensities (at a given angle) toward the same value, reducing the net intensities and
fluxes, until eventually they approach zero (or a nonzero saturation value at TOA).
The downward
radiation at the surface would be σ * (Tsa ^ 4 — 2/3 * T4grad) The
upward radiation would have to be σ * (Tsa ^ 4 + 2/3 * T4grad) in order for the net
upward flux to be constant through the air, which requires Ts ^ 4 = Tsa ^ 4 + 2/3 * T4grad.
The increase / decrease of net
upward LW
flux going from one level to a higher level equals the net cooling / heating of that layer by LW
radiation — in equilibrium this must be balanaced by solar heating / cooling + convective / conductive heating / cooling, and those are related to
flux variation in height in the same way.
The equilibrium response to an addition of RF at a level is an increase in net
upward flux consisting of LW
radiation (the Planck response, PR) plus a convective
flux response CR; CR is approximately zero at and above the tropopause in the global time average.
If it is in an isothermal layer, it will radiate
upward as much as downward; it will decrease the baseline TRPP net
flux and increase the baseline TOA
flux by the same amount, but it will decrease the baseline TOA
flux by a greater amount if it is absorbing
radiation with a higher brightness temperature from below (the baseline
upward flux at TRPP), so it will increase the amount by which the baseline net
flux at TRPP is greater than that at TOA.
In equilibrium these would be balanced by
upward transfer of infrared
radiation emitted by the surface, by sensible heat
flux (warm air carried
upward) and by latent heat
flux (i.e. evaporation — moisture carried
upward).
The combination of decreasing
upward flux and increasing downward
flux add to a decreasing net
upward flux (true for both SW and LW
radiation).
Willis,» Surface
upward LW
flux = 398 W / m2 Available solar
radiation = 162 W / m2 (after atmospheric absorption and albedo reflection)»
eadler2 -[
Upward IR
radiation flux] is what stabilizes the earth's climate and prevents it from running away.
The all - sky climatological greenhouse effect (the difference of the all - sky surface
upward flux and absorbed solar
flux) at this surface is equal to the reflected solar
radiation.
Surface
upward LW
flux = 398 W / m2 Available solar
radiation = 162 W / m2 (after atmospheric absorption and albedo reflection)
«But no radiative data is used» It must be incorporated in his model, he states «The all - sky climatological greenhouse effect (the difference of the all - sky surface
upward flux and absorbed solar
flux) at this surface is equal to the reflected solar
radiation.»
where SW denotes net downward shortwave
radiation, LW net
upward longwave
radiation, LH latent heat
flux, and SH sensible heat
flux I can find these products at http://www.esrl.noaa.gov/psd/data/gridded/data.ncep.reanalysis.surfaceflux.html Regarding the latent and sensible
fluxes I don't have a problem (since there are only two in the NCEP list), but regarding the others I have several.
For instance, when the long wave
radiation from the upper few micrometers of the ocean is
upward, the skin temperature is usually cooler than the bulk SST.Latent and sensible heat
fluxes can cool the sea surface further if the air is dryer or colder.
So by KT97 if you let the surface be 289K as stated in TFK09 instead of 288K you can take: 67 Wm - 2 absorbed SW by the atmosphere plus 24 Wm - 2 carried
upward by thermals (dry conduction / convection) plus 78 Wm - 2 carried
upward by evaporation (convection) plus 66 Wm - 2 actual LW
radiation flux upward (
radiation)------ 235 Wm - 2 detected LW upwelling by satellites above the TOA
(On a related note, I think some people misinterpret those Energy budget diagrams showing
upward and downward
fluxes of
radiation and convection, such as K&T and the later K, T&F (Trenberth et al 2009, first diagram here http://chriscolose.wordpress.com/2010/03/02/global-warming-mapsgraphs-2/).
Notice that the
upward longwave
flux at TOA is 240 W / m ² — this balances the absorbed solar
radiation.
And the value of the constant was obtained via the boundary condition:
upward flux from the climate system must balance solar
radiation.