Effect of core electrical conductivity on core surface flow models

Earth, Planets and Space

Table 1 Mean velocity and correlation coefficients for the respective electrical conductivity values under the tangentially geostrophic constraint in 2010

\(\sigma \left[\mathrm{S}~{\mathrm{m}}^{-1}\right]\)	\(1\times {10}^{5}\)	\(3\times {10}^{5}\)	\(1\times {10}^{6}\)	\(3\times {10}^{6}\)	\(1\times {10}^{7}\)
\({V}_{1~\mathrm{mean}}~[\mathrm{km}~{\mathrm{yr}}^{-1}]\)	4.087	4.086	4.084	4.080	4.076
\({V}_{2~\mathrm{mean}}~[\mathrm{km}~{\mathrm{yr}}^{-1}]\)	7.519	7.518	7.512	7.498	7.474
\({\nabla }_{H}\cdot {{\varvec{V}}}_{H1}\)	0.9999	0.9999	\(-\)	0.9996	0.9910
\({\nabla }_{H}\cdot {{\varvec{V}}}_{H2}\)	0.9998	0.9999	\(-\)	0.9990	0.9803
\(\hat{{\varvec{r}}}\cdot \nabla \times {{\varvec{V}}}_{H1}\)	0.9999	0.9999	\(-\)	0.9996	0.9924
\(\hat{{\varvec{r}}}\cdot \nabla \times {{\varvec{V}}}_{H2}\)	0.9999	0.9999	\(-\)	0.9995	0.9900

Correlation coefficients of the horizontal divergence and the radial vorticity are computed between the one for \(\sigma =1\times {10}^{6} ~\mathrm{S}~{\mathrm{m}}^{-1}\) and that for another \(\sigma\)