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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