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Table 4 Nusselt number Nu computed for \(\mu =0.0\), \(\mu =0.5\), \(\mu =1.0\) with different viscous dissipation number D 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

\(\Delta \eta\) Nusselt number Nu
\(\mu =0.0\) \(\mu =0.5\) \(\mu =1.0\)
\(D = 0.0\) \(D = 0.3\) \(D = 0.6\) \(D = 0.0\) \(D = 0.3\) \(D = 0.6\) \(D = 0.0\) \(D = 0.3\) \(D = 0.6\)
\(10^{10}\) 6.76800 3.83912 2.22500 8.06845 4.46772 2.45665 9.35884 5.22977 2.76453
\(10^{15}\) 5.36157 2.90745 1.73657 6.98490 3.62823 1.93308 8.20184 4.58926 2.25912
\(10^{20}\) 4.45036 2.34275 1.48655 6.29310 3.09495 1.63913 6.85055 4.18656 1.93551
\(10^{25}\) 3.80090 2.00320 1.34157 5.79442 2.71655 1.45780 5.43699 3.88971 1.71162
\(10^{30}\) 3.25696 1.77292 1.24780 5.39304 2.40512 1.33803 4.79113 3.64133 1.54933