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Table 3 Typical parameters used in Fig. 4, which are mostly taken from Driscoll and Bercovici (2014). For the core evolution, the typical parameters can be found in Table 2

From: A coupled core-mantle evolution: review and future prospects

Symbol

Meaning

Value

η0

Reference viscosity

7.0 × 1011 Pa s

fvisc

Factor of depth change of viscosity

10

E

Activation energy

300 kJ/mol

ρum

Density of the upper mantle

3491 kg m−3

ρlm

Density of the lower mantle

5490 kg m-3

Mm

Mass of the mantle

4 × 1024 kg

g

Gravity

9.8 m s−2

αum

Thermal expansivity of the upper mantle

3 × 10−5 K−1

αlm

Thermal expansivity of the lower mantle

3 × 10−5 K-1

κ0

Surface thermal diffusivity

7 × 10−7 m2 s−1

cm

Heat capacity

1250 J kg−1 K−1

Lm

Latent heat

6.0 × 105 J kg−1

Hm

Present-day internal heating rate

20 TW

εerupt

Eruption rate

1.0

Tsol0

Solidus temperature at the surface

1244.0 K

γad,m

Adiabatic gradient of the melt

1 K/km

γz

Solidus gradient with the depth

3.9 K/km

R

Gas constant

8.314 J K-1 mol-1