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Table 1 The scaling unit for non-dimensionalization

From: Extremely long transition phase of thermal convection in the mantle of massive super-Earths

The scaling unit

Symbol

Value

Length (mantle depth)

d

5500 (km)

Thermal diffusivity

κ

10−6 (m2/s)

Time

d 2/κ

3.0 × 1019 (s) ~ 950 Gyr

Velocity

κ/d

5.7 × 10−4 (cm/year)

Thermal expansivity

α 0

4 × 10−5 (K−1)

Temperature

∆T

3000 (K)