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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
τ 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)
τ 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.