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Radiative heat transfer

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Radiative heat transfer

Black body radiation

Spectral intensity (W.m-2 µm-1 ) Pe( , T) = 2⇡hc2

5

1

exp(hc/ kBT) 1

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M(m) = 2.88 ⇥ 10 3 T

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PBB(T) =

Z 1

0

Pe( , T)d = 2⇡5kB4

15 h3c2T4 = T4

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Non black bodies

Emissivity ε = absorptivity a P(λ,T) = Pe(λ,T) ε(λ)

Grey bodies

ε(λ)=C

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Diameter of the Sun: 1,4 106 km

Surface temperature of the Sun : 5800 K Distance to the Sun: 1,5 108 km

Diameter of the Earth: 12700 km

Effective albedo of the Earth: 0.31

The Donald Trump problem at zeroth order :

show that with a completely transparent atmosphere, it would be difficult to grow lawn for a golf course on Earth.

Earth and Sun are assumed to be black bodies

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