From: A coupled core-mantle evolution: review and future prospects
Symbol | Meaning | Value |
---|---|---|
η_{0} | Reference viscosity | 7.0 × 10^{11} Pa s |
f_{visc} | Factor of depth change of viscosity | 10 |
E | Activation energy | 300 kJ/mol |
ρ_{um} | Density of the upper mantle | 3491 kg m^{−3} |
ρ_{lm} | Density of the lower mantle | 5490 kg m^{-3} |
M_{m} | Mass of the mantle | 4 × 10^{24} kg |
g | Gravity | 9.8 m s^{−2} |
α_{um} | Thermal expansivity of the upper mantle | 3 × 10^{−5} K^{−1} |
α_{lm} | Thermal expansivity of the lower mantle | 3 × 10^{−5} K^{-1} |
κ_{0} | Surface thermal diffusivity | 7 × 10^{−7} m^{2} s^{−1} |
c_{m} | Heat capacity | 1250 J kg^{−1} K^{−1} |
L_{m} | Latent heat | 6.0 × 10^{5} J kg^{−1} |
H_{m} | Present-day internal heating rate | 20 TW |
ε_{erupt} | Eruption rate | 1.0 |
T_{sol0} | Solidus temperature at the surface | 1244.0 K |
γ_{ad,m} | Adiabatic gradient of the melt | 1 K/km |
γ_{z} | Solidus gradient with the depth | 3.9 K/km |
R | Gas constant | 8.314 J K^{-1} mol^{-1} |