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k(T) all layers

k(T) = A+B*T+C*T^2+D*T^3	

NOTE: Not just 2 domains/layers, but All


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Cp(T) all layers

Cp(T) = A+B*T+C*T^2+D*T^3	

NOTE: Not just 2 domains/layers, but All


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Surface/Atmosphere Sensible heat exchange Q	

Q = h × (Tsurf - Tatm)	

NOTE: Tsurf is the kinetic surface Temperature; Tatm is the air temperature near the surface; Q is an additional heat flux term at the surface; h is a convective heat transfert coefficient.


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Temperature-dependent Emissivity ε(T)

ε(T) = A + BxT + CxT^2 + DxT^3	

NOTE: Keihm 1984 + Birkebak 1974

An analysis of the impact of ε(T) is performed using a typical TES basalt ([[File:bandfield_epf_derived_basalt_spectrum.txt]]) and a typical TES dust ([[File:bandfield_epf_derived_dust_spectrum.txt]]).

[[Image:TES_basalt.png|left|500px]]   [[Image:TES_dust.png|center|500px]]


Equivalent broadband emissivities as a function of temperature are shown below.

[[Image:Broadband_Emissivity_basalt.png|left|500px]]   [[Image:Broadband_Emissivity_dust.png|center|500px]]
For a wide range of surface temperatures (50-500K), the broadband apparent emissivity only changes by small factors (1-2% at most).

Conclusion: Excellent fits to these behaviors can be obtained with polynomial functions. This is a small overall effect.

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