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 |
Emmissivity of ice (−) | 0.94 | 0.94 | |
θ | Solar elevation angle (°) | 90 | Computed |
Ta | Air temperature (°C) | −1 | |
Lowest air temperature (°C) | — | −40 | |
Snet | Incoming shortwave energy (W m−2) | 1,440 | Fig. 4 |
Qlong | Incident longwave radiation (W m−2) | 300 | |
Longwave energy parameter (W m−2) | — | 93 | |
Longwave energy parameter (W m−2) | — | 47.5 | |
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).