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Table 3 Critical values \(\pmb{m_{C} }\) with representative values of \(\pmb{f_{w}}\) or \(\pmb{{\theta}_{r}}\) when \(\pmb{\phi=0.05}\) , \(\pmb{P _{r} =6.2}\) , \(\pmb{M=0}\)

From: Dual solutions of a boundary layer problem for MHD nanofluids through a permeable wedge with variable viscosity

\(\boldsymbol{{\theta}_{r}}\)

\(\boldsymbol{{f}_{w}}\)

\(\boldsymbol{{m}_{C}}\) (Cu-Water nanofluid)

\(\boldsymbol{{m}_{C}}\) (Ag-Water nanofluid)

−2

−0.3

−0.0430

−0.0416

−2

−0.2

−0.0601

−0.0591

−2

0

−0.0955

−0.0955

−2

0.5

−0.1875

−0.1904

−2

1

−0.2835

−0.2889

−1

−0.2

−0.0609

−0.0596

−5

−0.2

−0.0590

−0.0581

−10

−0.2

−0.0585

−0.0576

−∞

−0.2

−0.0579

−0.0570

−1

0.2

−0.1361

−0.1375

−5

0.2

−0.1283

−0.1294

−10

0.2

−0.1273

−0.1284

−∞

0.2

−0.1263

−0.1273