However, IR photos are generally taken fairly close to 10μ (FLIR video, looking for objects whose temperatures range around
the blackbody temperature of the surface of the Earth to, for example, expose people walking across a field) where there is a window in the H2O absorption spectrum, or sometimes around 4μ (detection of vehicles with hot engines or tires) where there is another window.
jae says: «The widely cited «
blackbody temperature of Earth,» -18 C is the temperature that a satellite would «see.»
It corresponds to
a blackbody temperature of X.» My point was that you have no good intuition as to what constitutes an excessively large amount of radiation hitting the surface.
That is equivalent to
a blackbody temperature of 133 C (272 F).
The widely cited «
blackbody temperature of Earth,» -18 C is the temperature that a satellite would «see.»
Instead of looking at the GHE and assuming it is a constant 33 ºC, I have applied the monthly
blackbody temperature of the Earth to the actual temperature of the Earth and from that have the monthly
blackbody temperature of the Earth.
When I first studied engineering heat transfer in the 1970s, the texts said to use for the clear night sky an «effective
blackbody temperature of about -20 C (253K).
Based on the insolation received by the Earth, allowing for its estimated albedo and some internal core heat,
the blackbody temperature of the Earth is 254.3 K -LRB--18.8 °C).
It's used on p. 116 where we read «Earth's albedo is on the order of.3, leading to
a blackbody temperature of 255K.
Beginning around 1 / 10th the air pressure of the Earth at sea level, Jupiter's atmospheric temperature rises and easily exceeds its predicted
blackbody temperature of 110 Kelvin.
It is
the blackbody temperature of the radiation left over from that event.
Not exact matches
Applying aperture photometry on the azimuthally averaged deconvolved PACS images and using a modified
blackbody of the form Bν · λ − β, as expected for a grain emissivity Qabs ~ λ − β with β equal to 1.2 (representing amorphous carbon, Mennella et al. 1998), we derived a dust
temperature between 108 ± 5 K at 20 ′ ′ and 40 ± 5 K at 180 ′ ′.
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.
The spectral fitting shows that two dust modified
blackbody components with
temperatures of ~ 20 K and ~ 50 K can reproduce most
of the continuum spectra.
Finally if I am not mistaken the
temperature of the top layer
of an atmosphere consisting
of n
blackbody shells should be Tg / -LRB-(n +1) **.25) not Tg / (2.
Indeed, you can not get 33 degrees
of warming over and above the
blackbody temperature without positive feedback.
Now, perhaps you can explain to us how you get 33 degrees
of greenhouse warming over
blackbody temperatures without significant contributions from positive feedback.
David@288, I'm just going with physics, and I don't see how you get enough negative feedback to get a negative sensitivity AND get 33 degrees
of warming over Earth's
blackbody temperature.
David Benson, Based solely on the fact that Earth was 33 degrees warmer than its
blackbody temperature, on what was known
of the absorption spectrum
of CO2 and on the fact that Earth's climate did not exhibit exceptional stability characteristic
of systems with negative feedback, I'd probably still go with restricting CO2 sensitivity to 0 to + infinity.
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.
If the emissivity
of the earth is 1.0, its brightness
temperature is the same as its Planck
blackbody temperature.
More to the point though, CO2 (or H2O or whatever) absorption
of IR radiation does not depend on the earth's
blackbody or brightness
temperature being higher than the mean
temperature of the atmosphere (and the CO2).
Over this is superimposed a set
of smooth curves
of ideal
blackbody radiation, labeled with
temperatures.
At equilibrium, it will have a
temperature at which the
blackbody flux at 15 microns would be half
of the actual OLR at 15 microns.
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.)
Scattering may also drive the distribution over polarizations toward an equilibrium (which would be, at any given frequency and direction, constant over polarizations so long as the real component
of the index
of refraction is independent
of polarization) Interactions wherein photons are scattered by matter with some exchange
of energy will eventually redistribute photons toward a Planck - function distribution — a
blackbody spectrum — characteristic
of some
temperature, and because the exchange involves some other type
of matter, the photon gas
temperature (brightness
temperature) will approach the
temperature of the material it is interacting with -LRB-?
It makes also the total number
of photons slightly decrease with distance, following the
blackbody temperature, until the photosphere is reached, then we have basically only the 1 / r ^ 2 law.
In a linear approximation (that the
blackbody spectral flux as a function
of local
temperature changes linearly over optical thickness going down from TOA, down to a sufficient optical depth), a doubling
of CO2 will bring the depth
of the valley halfway towards half
of the OLR (the OLR at 15 microns will decrease by 25 % per doubling — remember this is before the
temperature responds).
... the intensity will thus be the
blackbody intensity for the
temperature found at unit optical depth distance from the point
of view.
Depending on the lapse rate in the stratosphere, the hill in the downward flux could reverse at some point, particularly if their is a large negative lapse rate in the base
of the stratosphere — but I don't think this tends to be the case; anyway, let's assume that the CO2 valley in the TRPP net upward flux only deepens until it saturates at zero (it saturates at zero because at that point the upward and downward spectral fluxes at the center
of the band are equal to the
blackbody value for the
temperature at TRPP).
But when optical thickness gets to a significant value (such that the overall spatial
temperature variation occurs on a spatial scale comparable to a unit
of optical thickness), each successive increment tends to have a smaller effect — when optical thickness is very large relative to the spatial scale
of temperature variation, the flux at some location approaches the
blackbody value for the
temperature at that location, because the distances photons can travel from where they are emitted becomes so small that everything «within view» becomes nearly isothermal.
I.absorbed / I.incident = absorptivity; I.absorbed = I.emitted; I.incident = B.emitted (because they have the same brightness
temperature, where B.emitted is what would be emitted by a
blackbody, and is what would be in equilibrium with matter at that
temperature), emissivity = I.emitted / B.emitted; therefore, given that absorptivity is independent
of incident intensity but is fixed for that material at that
temperature at LTE, and the emitted intensity is also independent
of incident intensity but is fixed for that material at that
temperature, emissivity (into a direction) = absorptivity (from a direction).
So the intensity
of radiation (at some frequency and polarization) changes over distance, such that, in the direction the intensity is going, it is always approaching the
blackbody value (Planck function) for the local
temperature; it approaches this quickly if the absorption cross section density is high; if the cross section density is very high and the
temperature doesn't vary much over distance, the intensity may be nearly equal to the Planck function for that location; otherwise its value is a weighted average
of the Planck function
of local
temperature extending back over the path in the direction it came from.
... 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...
For a grey gas, the skin layer
temperature is such that the corresponding
blackbody flux is 1/2
of the OLR, absent solar heating
of the skin layer.
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.
For a small amount
of absorption, the emission upward and downward would be about the same, so if the upward (spectral) flux from below the layer were more than 2 * the (average)
blackbody value for the layer
temperature (s), the OLR at TOA would be reduced more than the net upward flux at the base
of the layer, decreasing CO2 TOA forcing more than CO2 forcing at the base, thus increasing the cooling
of the base.
The difference in radiant flux will be smaller between 222 K and 255 K, and larger between 288 K and 321 K, and it will take a greater GHE TOA forcing to reduce the effective radiating
temperature (the
temperature of a
blackbody that would emit a radiative flux) at TOA from 288 K to 277 K as it would to reduce it from 277 K to 266 K, etc..
Let's assume that it is the 15 micron OLR that controls the skin
temperature; the
blackbody OLR (at 15 microns) for the skin
temperature will be half
of the actual OLR.
Except for: — Your claims that bidirectional EM violates the 2nd law
of thermodynamics; — Your sentient detector that received no energy from the object it is pointed at but radiates energy according to the
temperature it is point at allowing you to see beyond the edge
of the observable universe (Still awaiting the Nobel prize for that one no doubt); — Your perfectly radiating
blackbody that does not radiate according to its
temperature; — Your claims EM energy interferes which prevents energy from a colder body reaching a warmer one — a concept which would mean it would be impossible to see your reflection in a mirror.
You boys all act like you forgot the definition
of temperature and continuous
blackbody spectrums.
The predicted (
blackbody)
temperature of the Moon is 270K -LRB--3 °C).
Emissivity = proportion
of emission with reference to a
blackbody (it's a ratio) Emission = emissivity x what a
blackbody would emit at that
temperature (it's an absolute value)
The flux from a
blackbody of temperature T is F = sigma T ^ 4.
Since
blackbody radiation varies as the 4th power
of temperature this should correspond to a 1.5 % variation in the earth's
temperature or about 4.5 K.
In other words by imagining Earth as
Blackbody [perfect absorber, emitter, and conductor
of sunlight and heat] one create a uniform planetary
temperature.
Nevertheless, at a certain point atmospheric
temperature rises along with pressure and far exceeds NASA's
blackbody prediction
of 226.6 Kelvin for Venus.
And that
temperature exceeds the
blackbody prediction
of 81 K for Saturn.
Today it is considered a matter
of course that the Earth's
blackbody temperature is minus 18 ° Celsius, i.e., around 255 Kelvin, whereas its average
temperature is 288 Kelvin.
«If an ideal thermally conductive
blackbody was the same distance from the Sun as the Earth is, it would have a
temperature of about 5.3 °C.»