Effect of core electrical conductivity on core surface flow models

Earth, Planets and Space

Table 2 Mean velocity and correlation coefficients for the respective electrical conductivity values under the tangentially magnetostrophic constraint in 2010

\(\sigma ~\left[\mathrm{S}~{\mathrm{m}}^{-1}\right]\)	\(1\times {10}^{5}\)	\(3\times {10}^{5}\)	\(1\times {10}^{6}\)	\(3\times {10}^{6}\)	\(1\times {10}^{7}\)
\({V}_{1~\mathrm{mean}} ~[\mathrm{km}~{\mathrm{yr}}^{-1}]\)	4.131	4.145	4.114	3.892	4.342
\({V}_{2~\mathrm{mean}} ~[\mathrm{km}~{\mathrm{yr}}^{-1}]\)	7.680	7.710	7.612	7.604	7.319
\({\nabla }_{H}\cdot {{\varvec{V}}}_{H1}\)	0.9869	0.9923	\(-\)	0.9698	0.8756
\({\nabla }_{H}\cdot {{\varvec{V}}}_{H2}\)	0.9916	0.9944	\(-\)	0.9769	0.9229
\(\hat{{\varvec{r}}}\cdot \nabla \times {{\varvec{V}}}_{H1}\)	0.9738	0.9837	\(-\)	0.9625	0.8563
\(\hat{{\varvec{r}}}\cdot \nabla \times {{\varvec{V}}}_{H2}\)	0.9845	0.9896	\(-\)	0.9765	0.8961

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 \(\sigma\)