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Table A.1
Parameter values for the thermal evolution models.
| Parameter | Description | Value |
|---|---|---|
| ρm | Mantle density | 3.5 × 103 kg m−3 |
| cm | Mantle heat capacity | 1.1 × 103 J K−1 kg−1 |
| ρccc | Core density times heat capacity | 3.6 × 106 J K−1 m−3 |
| ρcrccr | Crust density times heat capacity | 3.2 × 106 J K−1 m−3 |
| k | Thermal conductivity | 4 W m−1 K−1 |
 |
Thermal expansion | 2 × 10−5 K−1 |
| g | Gravitational acc. | 9.81 m s−2 |
| Racrit | Crit. Rayleigh Number | 450 |
| V c | Core volume | 1.7 × 1020 m3 |
| V m | Mantle volume | 9.1 × 1020 m3 |
| Ac | Core surface area | 1.5 × 1014 m2 |
| Am | Mantle surface area | 5.1 × 1014 m2 |
| E* | Activation energy | 3 × 105 J mol−1 |
| V * | Activation volume | 4 × 10−6 m3 mol−1 |
| ηE | Present-day Earth mantle viscosity (Eq. (A.6)) | 1021 Pa s |
| A′ | Viscosity pre-factor (Eq. (B.4)) | 6.127 × 1010 Pa s |
| R | Gas constant | 8.314 |
| Tc,ini | Initial core temperature | 3500 K |
| fp | Surface fraction of hot upwellings with melting | 0.01 |
| R | Gas constant | 8.314 |
| u0 | Charact. velocity scale | 2 × 10−12 m s−1 |
| L | Latent heat of melting | 5 × 105 J kg−1 |
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