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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)