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Table 1 Numerical results of power law coefficients in scalings of different parameters with Ra, aspect ration a , and Frank-Kamenetskii parameter θ

From: Towards scaling laws for subduction initiation on terrestrial planets: constraints from two-dimensional steady-state convection simulations

Parameter

c in 10 c

Ra

a

θ

Nu

0.23 ± 0.07

0.24 ± 0.01

-0.17 ± 0.03

-1.17 ± 0.05

Δ T rh /Δ T

0.25 ± 0.17

0.010 ± 0.02

0.39 ± 0.08

-0.84 ± 0.12

δ 0/d

-0.26 ± 0.10

-0.22 ± 0.01

0.27 ± 0.04

1.12 ± 0.06

δ lid/d

-0.74 ± 0.06

-0.23 ± 0.01

0.12 ± 0.03

1.44 ± 0.04

δ lid,max/d

-0.62 ± 0.07

-0.19 ± 0.01

0.33 ± 0.03

1.26 ± 0.05

δ rh/d

0.02 ± 0.33

-0.20 ± 0.04

0.60 ± 0.15

0.34 ± 0.21

Lid slope

-0.98 ± 0.13

-0.07 ± 0.02

0.14 ± 0.06

0.63 ± 0.09

Ï„ lid

0.36 ± 0.21

0.68 ± 0.03

0.92 ± 0.09

-0.15 ± 0.13

Ï„ y,c r

0.40 ± 0.22

1.09 ± 0.03

1.67 ± 0.10

-1.49 ± 0.14

τ y,c r′

2.34 ± 0.32

1.34 ±0.04

1.45 ± 0.14

-3.47 ± 0.21

  1. Δ T rh /Δ T and τ lid taken at mid-width.