The present work is a detailed study of a steady two-dimensional stagnation point ﬂow of non-Newtonian ﬂuid toward a linear stretching surface with induced magnetic ﬁeld. Problem development is accomplished in existence of convective boundary condition. Nonlinear ﬂow analysis is computed with the help of shooting algorithm. Physical characteristics of pertinent parameters have been analyzed through graphs and tables. The main emphasis of the present study is to analyze the impact of induced magnetic ﬁeld with incorporation of stretching ratio parameter (when A < 1 and A > 1) on ﬂuid velocity and temperature proﬁles. Magnetic and ﬂuid constraints contribute in lowering mass boundary layer thickness for ﬁxed value of stretching ratio parameter. However, magnetic Prandtl number reciprocal, ﬂuid and magnetic parameters contributed in enhancing induced magnetic proﬁle for a ﬁxed value of stretching ratio parameter. Comparison with available results in the literature in limiting sense is achieved. Moreover, heat ﬂux has opposite effects for magnetic and ﬂuid parameters, but has same effects for magnetic Prandtl number. Keywords Induced magnetic ﬁeld · Viscous dissipation · Stagnation point ﬂow · Numerical solution List of symbols Greek symbols H and H Magnetic components along x- and η, θ Dimensionless space variable
Arabian Journal for Science and Engineering – Springer Journals
Published: Jun 4, 2018
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