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Table 3 Comparison of Nusselt number, Nu of full-form viscosity function (11) and cut-off viscosity function (13) for \(\mu = 0.0\) and \(\mu = 0.5\) at \({\mathrm{Ra}} = 10^7\) and \(\theta _0\) = 0.1

From: Mathematical modelling of mantle convection at a high Rayleigh number with variable viscosity and viscous dissipation

\(\Delta \eta\) Full form \(\eta\) Cut-off \(\eta\)
\(\mu = 0.0\) \(\mu = 0.5\) \(\mu = 0.0\) \(\mu = 0.5\)
\(10^{10}\)     6.76217 8.06845     6.76800 8.06845
\(10^{15}\)     5.35744 6.98327     5.36157 6.98490
\(10^{20}\)     4.44652 6.29296     4.45036 6.29310
\(10^{25}\)     3.79703 5.79253     3.80090 5.79442
\(10^{30}\)    3.25274 5.39134     3.25696 5.39304