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**MHD mixed convection boundary layer flow towards a stretching vertical surface with constant wall temperature.**
*(English)*
Zbl 1201.80022

Summary: This work considers a steady two-dimensional magnetohydrodynamic (MHD) flow of a viscous, incompressible and electrically conducting fluid over a stretching vertical surface with constant wall temperature. The external flow and the stretching velocities are assumed to vary with \(\sqrt x\), where \(x\) is the distance from the slot where the surface is issued. The transformed boundary layer equations are solved numerically for some values of the related parameters, namely the magnetic parameter \(M\), the velocity ratio parameter \(\epsilon \) and the mixed convection or buoyancy parameter \(\lambda \), while the Prandtl number \(Pr\) is fixed to unity, using a finite-difference scheme known as the Keller-box method. Both assisting and opposing flow cases are considered. It is found that the magnetic parameter \(M\) significantly affects the flow and the thermal fields, besides increasing the range of \(\lambda \) for which the solution exists. Dual solutions are found to exist for some range of the mixed convection parameter.

### MSC:

80A20 | Heat and mass transfer, heat flow (MSC2010) |

76R05 | Forced convection |

76R10 | Free convection |

76W05 | Magnetohydrodynamics and electrohydrodynamics |

76M20 | Finite difference methods applied to problems in fluid mechanics |

80M20 | Finite difference methods applied to problems in thermodynamics and heat transfer |

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\textit{A. Ishak} et al., Int. J. Heat Mass Transfer 53, No. 23--24, 5330--5334 (2010; Zbl 1201.80022)

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