Similarities may exist in the spectral nature of the radiation being emitted from a gas and the radiation being emitted from a differential area on
a blackbody surface; but without a clearly defined surface, I don't see how Planck's blackbody radiation law can be applied.
So while, in the isothermal
blackbody surface approximation, if the starting surface temperature is 288 K and we know the OLR is reduced from surface emission by 150 W / m2 via GHE, we know that removing all greenhouse agents will have a TOA forcing of -150 W / m2, (and some forcing at the tropopause, etc.) which will cool the surface temperature to about 255 K at equilibrium, absent non-Planck feedbacks.
Since the 155 W / m2 GHE is the GHE forcing based on the present climate (in the sense that removing all GH agents (only their LW opacity, keeping solar radiation properties constant) results in a forcing of -155 W / m2 at TOA for the present climate, and we know that without any GHE, in the isothermal
blackbody surface approximation, the temperature will fall approximately 33 K without any non-Planck feedbacks), it can be compared to smaller climate forcings made in the context of the present climate (such as a doubling CO2.)
Not exact matches
[Response: If the Earth was a
blackbody, the
surface temperature would be 255K (so therefore it can't be).
The
surface of the Earth radiates as a
blackbody at its temperature which is continually changing because it is being heated by the sun, or it is cooling during the night.
Request for clarification from a retired engineer: when it's said that methane is N times the greenhouse gas that CO2 is, is that purely taking into account their absorption spectra relative to the
blackbody emission from the
surface, or does it take into account saturation as well, since methane constitutes a much smaller percentage wrt CO2?
sigmaT ^ 4 is the upward
blackbody radiation (based on stefan - boltzmann) at the
surface, «a» is the albedo (reflectivity), so (1 - a) is the fraction of incident solar radiation that is absorbed by the planet.
The work is an estimate of the global average based on a single - column, time - average model of the atmosphere and
surface (with some approximations — e.g. the
surface is not truly a perfect
blackbody in the LW (long - wave) portion of the spectrum (the wavelengths dominated by terrestrial / atmospheric emission, as opposed to SW radiation, dominated by solar radiation), but it can give you a pretty good idea of things (fig 1 shows a spectrum of radiation to space); there is also some comparison to actual measurements.
The emissivity of the
surface in the infrared is unimportant because it behaves as though it were in a
blackbody cavity in equilibrium with the lowest layers of the atmosphere.
Now, the best thing would be to be able to take your class into space and point your $ 50 sensor at the Earth from the Space Station, so you could see that the radiation going out is like a
blackbody at 255K instead of the actual
surface temperature of the Earth.
[Response: If the Earth was a
blackbody, the
surface temperature would be 255K (so therefore it can't be).
It was raised in response to an earlier theoretical proposal suggesting that certain gas -
surface reactions (heterogeneous catalysis) can generate steady - state pressure gradients under low - pressure, sealed
blackbody conditions.
In Kiehl and Trenberth 1997, they find a 155 W / m2 total greenhouse effect for approximately present - day Earth conditions (among the approximations:
surface is a perfect (isothermal **)
blackbody, and the use a representative 1 - dimensional atmospheric column (instead of seperate calculations for each location over the globe at each time over the course of a period of time sufficient to describe a climatic state — but note righthand side of p. 200, just past halfway down the column)... a few other things).
... The GHE TOA forcing of 155 W / m2 is approximatly the difference between the
blackbody fluxes at 255 K and 288 K; thus if maitaining 288 K
surface temperature, removing it...
Although that will be true in the mid atmosphere, do you agree that is not the case near the
surface of the Earth where the greenhouse molecules are being excited by
blackbody radiation from the Earth's
surface, but are being relaxed by collisions with other air molecules such as N2 & O2?
But the upward flux from the
surface (assuming a perfect
blackbody) is isotropic, which means that in order for the upward flux per unit area to fit the T ^ 4 pattern, the intensity will be anomalously small (relative to the T ^ 4 pattern) in a range of directions near vertical, and anomalously large in a range of directions closer to horizontal.
The entire atmosphere
surface to 100 km edge of space is already much much warmer than 193K, and a true or «partial»
blackbody at 193K can not warm a much warmer
blackbody at 255K or 288K.
Climastrologists assumed the
surface of our planet to be a near
blackbody that could only heat to 255K for an average of 240 w / m2 of solar radiation if there were no radiative atmosphere.
Introduction Key diagrams on the Earth's energy budget depicts an exchange of energy between the
surface and the atmosphere and their subsystems considering each system as if they were
blackbodies with emissivities and absorptivities of 100 % 1, 2.
A
blackbody temperature at certain distance from the sun IS the Sun's
surface temperature.
However, since the Earth reflects about 30 % of the incoming sunlight, the planet's effective temperature (the temperature of a
blackbody that would emit the same amount of radiation) is about − 18 °C, about 33 °C below the actual
surface temperature of about 14 °C.
Most solid and liquid
surfaces are very close to a
blackbody as emitter and absorber of LWIR (that's true even for the whitest snow).
The Earth's
surface temperature is 35 K warmer than its effective
blackbody temperature, because of the presence of clouds and GHGs or called the natural greenhouse effect.
Technically, only the
surface needs to be a
blackbody... It does not look like a well - posed problem to me.
Heat radiates from the Earth's
surface via thermal or (roughly) «
blackbody» radiation.
It seems to me that any layer from the
surface to the highest limits of the atmosphere is radiating some roughly
blackbody looking spectrum corresponding to its own Temperature; and much of that spectrum exits directly to space (assuming cloudless skies for the moment) with a spectrum corresponding to the emission temperature of that
surface; but now with holes in it from absorption by GHG molecules or the atmospheric gases themselves.
His non-GHG atmosphere permits the lower
surface to constantly radiate to the upper
surface until the two have identical temperatures in a textbook
blackbody radiation calculation.
The rest of his argument is just that
blackbody calculations don't produce real
surface temperatures.
However
blackbody calculations do not speak to high and low
surface temperatures and how these are distributed over cycles in time, across
surface space or throughout the atmosphere.
Its main argument is that idealized
blackbody calculations did not correctly predict the Moon's
surface temperatures in the 1960s because other factors besides radiative heat transfer equations actually determine real
surface temperatures.
Let's look at the
blackbody flux densities of objects of the temperatures we have been discussing (you can multiply by a 0.95 emissivity if you want to get to real
surface values, but it doesn't matter:
If the air layer is a
blackbody (ea = 1, considerable CO2), the atmosphere is Ta = 255 K (as before) and the
surface is Ts = 303 K (16 K warmer than actual value of 287 K).
We vary the one free parameter, the emissivity of the atmosphere ea, but retain the
surface of Earth as a
blackbody with eE = 1.
So I cranked the numbers, and showed you that the radiation, even for a
blackbody, of
surfaces at liquid nitrogen temperatures could not exceed 2 W / m2, trivial compared to the 400 W / m2 of real
surfaces at earth ambient temperatures.
Assuming a constant
blackbody equilibrium temperature as seen from space,
surface temperatures may still vary due to atmosphere effects.
The warmed
surface radiates as a
blackbody, and also loses heat through rising in air currents or evaporated moisture.
It radiates from the full extent of a dynamic 3D volume, not from some hypothetical, static (rigid)
blackbody 2D
surface.
In fact, anybody curious can try this: Take the
surface of the sun to be 5778 K, and treat the sun as a
blackbody.
A spherical cavity with a hole is an example and is «close» to a
blackbody, therefore at MOST we can expect the earth to have energy densities of a black body (yes gravity complicates the actual temperature on the
surface).
A
blackbody at a given temperature radiates from all
surfaces at a given flux.
For our thought experiment, imagine a planet the size of the Earth, a perfect
blackbody, heated from the interior at 235 watts per square metre of
surface area.
When we lower the emissivity of the
surface from 1 (
blackbody) to 0.9425 we need an increase of
surface temperature of approx. 5 degress C to achieve the same level of radiation.
Now we realize that the outer part of our new smaller sphere must also absorb and radiate like a
blackbody... and so on, all the way to the
surface.
Ian Now we realize that the outer part of our new smaller sphere must also absorb and radiate like a
blackbody... and so on, all the way to the
surface.
Observations agree with climate models that a 1.2 degC rise in
surface temperature produces a 2.5 W / m2 increase in OLR, not the 3.7 W / m2 increase expected for a
blackbody.
That is not a
blackbody and it means that the dT response of the ocean or any frequently wetted
surface is not the same as a
blackbody response.
If the atmosphere (mostly N2 and O2) emitted LWIR like a
blackbody, the atmospheric window readings would look like some middle atmosphere temperature — not like the
surface.
Please explain why all of the planets with atmospheres (including Earth) have a
surface temperature that is much higher than their
blackbody temperatures.
The
blackbody temperature isn't particularly relevant at a single point at the
surface because there are lots of different heat transport mechanisms that affect the local
surface energy balance and there's lots of thermal inertia at the
surface, particularly the oceans.
6) Thus, if we assume, as a first approximation, that the
Surface approximates a
blackbody at 288 K, with a spectrum something like the smooth blue curve in my illustration above, we see that the Atmosphere passes the ~ 10μm region (except for part of the ~ 9.5 μm oxygen / ozone «bite») and, from the Perry plot of
Surface looking UP, re-emits much of the ~ 7μm and ~ 15μm region back down to the
Surface.