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Table 1 Comparison of \(\pmb{f^{\prime\prime} ( 0 ) }\) and \(\pmb{-\theta'(0)}\) for various values of m with \(\pmb{P_{r} =0.73}\) and \(\pmb{f_{w} =0 }\) when \(\pmb{\theta_{r} \rightarrow\infty}\)

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

m

Watanabe [ 33 ]

Deka et al. [ 24 ]

Present

\(\boldsymbol{f''(0)}\)

\(\boldsymbol{-\theta'(0)}\)

\(\boldsymbol{f''(0)}\)

\(\boldsymbol{-\theta'(0)}\)

\(\boldsymbol{f''(0)}\)

\(\boldsymbol{-\theta'(0)}\)

0

0.46960

0.42015

0.469601

0.420160

0.469590

0.420146

0.0141

0.50461

0.42578

0.504615

0.425785

0.504607

0.425773

0.0435

0.56898

0.43548

0.568978

0.435492

0.568970

0.435473

0.0909

0.65498

0.44730

0.654979

0.447312

0.654968

0.447295

0.1429

0.73200

0.45693

0.731999

0.456951

0.731987

0.456931

0.2

0.80213

0.46503

0.802126

0.465051

0.802109

0.465026

0.3333

0.92765

0.47814

0.927654

0.478158

0.927636

0.478131