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. 2016 Feb 16;7:10679. doi: 10.1038/ncomms10679

Table 2. Energy balance model parameter values.

Parameter Description Laboratory value Antarctic value
ki Thermal conductivity of ice (W K−1 m−1) 2.22 2.07
kw Thermal conductivity of water (W K−1 m−1) 0.58 0.58
km Thermal conductivity of meteorite (W K−1 m−1) 1.5, 25 1.5, 25
ca Heat capacity of air (J kg−1 K−1) 1,005 1,005
ρa Air density (J kg−1 K−1) 1.29 0.95
ρi Density of ice (kg m−3) 916.2 916.2
Lm Latent heat of melting ice (J kg−1) 3.34 × 105 3.34 × 105
Lv Latent heat vapourization, water (J kg−1) 22.6 × 105 22.6 × 105
γi Attenuation coefficient of blue ice (m−1) 2.5 2.5
γw Attenuation coefficient of water (m−1) 0.001 0.001
V Ice sheet heave velocity (metres per year) 0.065
v Ice sheet sublimation rate (metres per year) Negligible V/2
αi Blue-ice albedo (−) 0.62 0.62
αm Meteorite exterior-surface albedo (−) 0.106–0.159 0.13
σ Stefan–Boltzmann's constant (W m−2 K−2) 5.667 × 10−8 5.667 × 10−8
Inline graphic Emmissivity of ice (−) 0.94 0.94
θ Solar elevation angle (°) 90 Computed
Ta Air temperature (°C) −1 Inline graphic
Inline graphic Lowest air temperature (°C) −40
Snet Incoming shortwave energy (W m−2) 1,440 Fig. 4
Qlong Incident longwave radiation (W m−2) 300 Inline graphic
Inline graphic Longwave energy parameter (W m−2) 93
Inline graphic Longwave energy parameter (W m−2) 47.5
Inline graphic Average wind speed (m s−1) 2 11
u* Friction velocity (m s−1) 0.1 0.1
T Ice temperature at bottom (°C) −4
z Ice depth (m) 0.05
ϕ Heat flux in region 4 (W m−2) 0
sh Solar shading 0 7.5%
w Meteorite width (m) 0.01 0.03

Parameter values used in our energy balance model, for both the laboratory study and the Antarctic analogy (based on the Frontier Mountain meteorite trap area; see the Methods section).