In an atmosphere there is backradiation contributing to the incident T on the absorptivity of the surface; however this incident T from backradiation is in fact from the surface; in this circumstance calculating
emissivity from the surface is a measure of the backradiation returning as absorptivity incident T.
Phil says: «Where do you get your value of 0.2
emissivity from, what range of wavenumber is it for, why haven't you accounted for the variation of energy over the wavenumber range or the different absorption bands of H2O and CO2?»
Emissivity from all substances is wavelength dependent.
The effective
emissivity from the surface of the ocean above that little millimeter or two of air gap is about 0.857, on average, so the oceans would require a 2.18 instead of 5.35 as the multiplier resulting in 1.5Wm - 2 at the surface.
So the ONLY permanent effect is the second one: stratosphere temperature (which is NOT related to heat flux but is the result of heating and cooling process far from LTE) is mainly dominated by heating from the incident UV flux and cooling by the IR
emissivity from (optically thin) GES.
Here's an interesting thought for the ice experts, maybe Andy could pick this up, since he's done a very decent job of following up on my question: I've read suggestions that increased sea
emissivity from the Arctic waters would gain relative to the loss of albedo from increasingly ice - free seas.
Not exact matches
For each planetary candidate, the equilibrium surface temperatures are derived
from «grey - body spheres without atmospheres... [and] calculations assume a Bond albedo of 0.3,
emissivity of 0.9, and a uniform surface temperature... [with uncertainties of] approximately 22 %... because of uncertainties in the stellar size, mass, and temperature as well as the planetary albedo.»
Specifications: Laser sighting for accurate aiming Infrared Temperature Range -58 ° to 986 °F -LRB--50 ° to 530 °C) Infrared Accuracy ± 2 % of reading or ± 1 °F or 1 °C Selectable temperature units °F / °C 14:1 Distance - to - spot size ratio
Emissivity adjustable
from 0.1 to 1.0 Bright large blue back - lit LCD display Lock for continuous temperature scanning Select Laser On / Off Uses one 9V battery (included) to provide nominal 30 hours of continuous operation Automatic power OFF
Emissivity can have a value
from 0 (shiny mirror) to 1.0 (blackbody).
Still more generally consider n graybody shells (
emissivity e) numbered
from the top.
This is because the fundamentals of thermal radiation
from an isolated slab:
emissivity, absorptivity, transmissivity, are related by
emissivity = absorptivity = (1 — transmissivity) where transmissivity = exp -LRB-- TAU)(neglecting directionality).
Your calculation describes how much difference in infrared radiational heating, dQ, results
from a given increment of temperature change, assuming
emissivity and everything else remain fixed.
One can see that, the higher the
emissivity, the less energy is able to escape directly to space, and the more «longwave» energy is received
from atmosphere to ground.
For other reasons, at LTE, the transmission (of a given type of photon) is the same in a pair of opposite directions, so in the absence of scattering,
emissivity and absorptivity must each be the same for opposite directions across the same path of material, and thus they will be the same for absorption of photons
from a direction and emission of photons into the opposite direction.
Each layer must transport the same energy as the layer below and its
emissivity is perfect (optically thick) so it transports according to R ^ 2T ^ 4 where R is the radius
from the center of the planet and T is absolute temperature.
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).
Starting with small amounts of absorption, the transient cooling should extend through most of the atmosphere (except the troposphere) because each layer's emission and absorption of radiation
from the surface would increase equally if not for the increased absorption of radiation
from the surface by lower layers, while the increased absorption of radiation
from other layers would be a smaller effect due to the small
emissivities — this would be true in the troposphere as well except the convective coupling with the surface would prevent it.
And I # is emitted and absorbed by emission and absorption cross sections and
emissivities and absorptivities that are equal for emission into a direction and absorption
from that direction at the same location or over the same path length for the same frequency and polarization.
Do you mean the total emission
from this layer or total emission of those spectrum (flux +
emissivity)?
The
emissivity of moist air
from the surface to the approximate tropopause varies with the content and phase of the moisture and the density of the air.
By that measure, total column CO2 is ~ 3 meters or ~ 3 atm m. Engineering heat transfer calculations often use standard pressure times path length to calculate
emissivities of CO2 and water vapor in furnaces
from tables or graphs rather than having to do full RT calculations.
However,
from experimental evidence we know that
emissivity of a body is not affected by the incident radiation, or by any conditions of imbalance that occur between the body and its environment.
Sea Surface
Emissivity, Temperature and Atmospheric Measurements
from the M - AERI during the ACAPEX Campaign.
Therefor the average absorptivity /
emissivity of one mixture is almost always different
from another mixture.
This is in addition to there being a much higher partial pressure of water vapor (up to 2.5 %) in the atmosphere than that of CO2 (400ppm which varies with height) It should also be noted that the absorptivity and
emissivity of liquid water is close to unity across the full range of wavelength
from UV to microwaves.
The
emissivity of solid water (ice) varies
from about 0.3 (reflecting much light and other radiation) to about 0.8 depending on its crystal structure.
The remaining 50 % of the hits were to papers
from scientists doing remote sensing, who use maps of «operational
emissivity» to convert surface flux into surface temperature.
«Quantitatively,
emissivity is the ratio of the thermal radiation
from a surface to the radiation
from an ideal black surface at the same temperature as given by the Stefan — Boltzmann law.»
For example, if the
emissivity of two bodies is very different, there can be more radiative flux
from the cooler one.
Oke et al 1991 is a companion study that is much more informative about UHI, with interesting discussions of the contributions to UHI of canyon view, thermal storage, anthropogenic heat emissions, an urban greenhouse effect
from additional pollution and moisture, surface
emissivity etc..
The new models assumed TOA DOWN
emissivity = 1 and black body IR
from the earth's surface and the lower atmosphere.
Note the equation calculates the NET radiation by subtracting the ambient temperature to the fourth power (AIR)
from the temperature of the cooling object to the fourth power (SURFACE) and then multiplying by the
emissivity and the Stefan - Boltzmann Constant.
the GHG thermal radiation
from the atmosphere reduces surface
emissivity so the impedance to heat transport
from all sources rises.
Nope: the GHG thermal radiation
from the atmosphere reduces surface
emissivity so the impedance to heat transport
from all sources rises.
If the atmosphere were then optically thin and had a low
emissivity (which I would think is likely unrealistic) then it would have an adiabatic - like lapse rate, but the atmospheric temperature would drop
from a surface temperature of 255 K, to even lower temperatures.
Al is a very poor IR radiator (
emissivity less than 0.1 typically), so whether the Al surface is hot or cold, most of the IR
from it could well be REFLECTED IR
from the water below, not EMITTED IR
from the water block itself.
It will not rise at all if the absorption is balanced by an equal amount of emission (as would occur if its
emissivity would be increased
from a change in its molecular composition — e.g. the formation of ozone
from UV radiation or mixing a little CO2 within it).
which is, indeed, the Stefan - Boltzmann formula for net power radiatively transferred to /
from a hot reservoir at temperature to a cold reservoir at temperature across a vacuum between to facing plates of area and
emissivity.
But we can say that we get a temperature change
from this change in
emissivity.
For example, road tar surfaces receive radiation (solar spectrum)
from incident «sunlight»; some of which is absorbed and some reflected, so the surface warms, and re-radiates in a completely different thermal spectrum that depends on the surface temperature and its spectral
emissivity.
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.
temperatures stabilise according to air temperatures than the value attributed
from their «
emissivity».
The 324W / m ^ 2 of back radiation is overstated because the wrong
emissivity value of the atmosphere has been used in calculating that back radiation
from measurements.
(Even though the absolute temperature appears as the 4th power in the SB law, we only have to do relatively small changes in the temperature —
from, say 288 K to 293 K to compensate for this big drop in
emissivity)
Prigent, C., W.B. Rossow, and E. Matthews, 1997: Microwave land surface
emissivities estimated
from SSM / I observations.
On the other hand, the atmosphere next to the Earth's surface comprises an IR emitter which has Absolute
Emissivity between c. 0.6 and 0.7 depending on humidity and temperature (assumed to be the same as the surface) The «black body» amplitude, self - absorbed GHG bands shut off the corresponding wavelength emission
from the surface, making its Operational
Emissivity c. 0.4 to 0.3.
You get the real GHE
from correct radiation physics, which is that thermal IR
from the lower atmosphere blocks surface IR emission in GHG band centres, reducing total
emissivity.
Most of the GHE is the rise in surface temperature
from reduced surface
emissivity.
If you want more detail, here are some «standard equations» that specifically deal with thermal radiation
from one object of arbitrary size, shape,
emissivity, and temperature to a second object of arbitrary size, shape,
emissivity, and temperature:
The
emissivity of the Earth is over 0.97 and a perfect black body is 1.0 so, for all intents and purposes, the Watts / m ^ 2 calculated by the Carleton spreadsheet based on Plank's Law may be off by only a small number of Watts / m ^ 2 and my main claim is that there are hundreds of Watts / m ^ 2 streaming down
from the Atmosphere, so a few Watts here or there is a drop in a bucket.