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Table 5 RMS velocity \(V_{{\mathrm{rms}}}\) 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

\(\Delta \eta\) RMS velocity \(V_{{\mathrm{rms}}}\)
\(\mu =0.0\) \(\mu =0.5\) \(\mu =1.0\)
\(D = 0.0\) \(D = 0.3\) \(D = 0.6\) \(D = 0.0\) \(D = 0.3\) \(D = 0.6\) \(D = 0.0\) \(D = 0.3\) \(D = 0.6\)
\(10^{10}\) 753.149 450.644 244.368 1000.932 580.307 292.445 1189.156 722.471 350.050
\(10^{15}\) 594.920 314.292 161.594 894.191 468.522 204.168 949.421 640.405 273.675
\(10^{20}\) 483.396 222.950 115.209 806.197 388.104 149.557 585.505 562.901 214.198
\(10^{25}\) 398.149 173.658 85.850 721.782 324.978 113.462 307.379 481.827 169.948
\(10^{30}\) 308.093 139.281 65.259 634.734 259.877 87.966 273.349 398.414 136.766