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Table 2 Power law coefficients in scaling laws for stresses: numerical results vs theory

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

Parameter

Ra

a

θ

Method

Ï„ lid

0.68 ± 0.03

0.92 ± 0.09

-0.15 ± 0.13

Numerical

 

0.73 ± 0.09

1.14 ± 0.29

0.146 ± 0.42

Theory (in terms of Δ T rh /δ rh )

 

0.77 ± 0.12

1.18 ± 0.39

0.14 ± 0.56

Theory (in terms of Nu)

Ï„ y,c r

1.09 ± 0.03

1.67 ± 0.10

-1.49 ± 0.14

Numerical

 

0.94 ± 0.10

1.81 ± 0.32

-1.13 ± 0.47

Theory (in terms of Δ T rh /δ rh )

 

0.97 ± 0.13

1.85 ± 0.42

-1.16 ± 0.61

Theory (in terms of Nu)

τ y,c r′

1.34 ±0.04

1.45 ± 0.14

-3.47 ±0.21

Numerical

 

1.13 ± 0.11

1.48 ±0.35

-2.39 ± 0.51

Theory (in terms of Nu)

 

1.16 ± 0.14

1.52 ±0.45

-2.38 ± 0.65

Theory (in terms of Δ T rh /δ rh )

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