Fig. 9

a Hartmann number (\(M\)) on the main flow and induced skin friction profiles at \(y = 1\), for \(\beta_{{\text{v}}} {\text{Kn}} = 0.05,M = 2,\ln = 1.667,\beta_{{\text{h}}} = 0.5,\beta_{{\text{i}}} = 3.0\,\,{\text{and}}\,\Pr = 0.71\). b Hartmann number (\(M\)) on the main flow and induced skin friction profiles at \(y = 1\), for \(\beta_{{\text{v}}} {\text{Kn}} = 0.05,M = 2,\ln = 1.667,\beta_{{\text{h}}} = 0.5,\beta_{{\text{i}}} = 3.0\,\,{\text{and}}\,\Pr = 0.71\)