6. Radiation Flashcards
What is the equation for the amount of heat emitted from a black body?
q = sigma T^4 sigma = 5.67x10^-8
What is a black body?
A body which absorbs all incident light and emits the most given its temperature
What is irradiation (G)
G = total rate at which radiation arrives per unit area G = ( α + tau +ρ) G α = absorbed, tau = transmitted ρ= reflected
What is radiosity (J)
Total rate at which radiation leaves per unit area
J = εσT^4 + ρG
J = emitted + reflected
What is the effective resistance to emission/absorption?
1-ε/(εA)
What is the effective resistance to heat travelling from the surface of 1 to the surface of 2?
1/(A1 * F_12)
How do you calculate the proportion of heat leaving one body which reaches another? (F12)
F12 = A2/A1
What is a view factor (F_12)
Fraction of energy leaving surface 1 that reaches surface 2
What is the view factor for a flat surface
0
What is the view factor for a concave inner shell
1
What is the reciprosity relationship
If T1 = T2, then F_12A1 = F_21A2
What is Kirchoff’s Law
If T1 = T2, then epsilon = alpha (emitted = absorbed)
What are the two types of scattering
Rayleigh and Mei scattering
What molecules absorb infrared radiation from the earth best (greenhouse effect)
CO2, H2O, CH4 (methane), Chlorofluorocarbons (CFCs)
How does the Greenhouse effect work
Short wavelength (high energy) radiation from the sun, penetrates the atmosphere and is absorbed on the surface
Earth warms and transmits long wavelength infrared radiation back
This infrared radiation is absorbed by certain molecules instead of leaving the atmosphere
Why is the sky blue?
Rayleigh scattering intensity is proportional to 1 over wavelength^4. Hence shorter wavelengths are more intense (blue)
What are the turbidity factors for clear air and smoggy air respectively
Clear air, n = 2
Smoggy air, n = 4
What is Wien’s displacement law?
gamma max (wavelength at which E peaks) is proportional to 1 / T
What is the range of wavelengths of light which is visible to the human eye
400 nm - 700 nm
What is a radiation shield
A surface which intercepts the flow of radiation between a source and a sink. The shield itself becomes both the sink and the source. Its purpose is to reduce the net radiative heat transfer
What is the extinction coefficient?
The ability of a material to absorb radiative energy
I_x=I_0 exp(-ax)