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**Analysis of entropy generation of MHD micropolar fluid through a rectangular duct with effect of induced magnetic field and slip boundary conditions.**
*(English)*
Zbl 1468.76064

Summary: The entropy generation and Bejan numbers (\(B e\), \(B m\) and \(B f\)) for steady, incompressible and laminar micropolar fluid through a rectangular duct with the effects of slip flow and slip convective boundary conditions are calculated. The flow is induced by a constant pressure gradient under an external magnetic field applied in a perpendicular plane to the flow direction. The governing nonlinear partial differential equations of momentum, induction, microrotations, and the energy is used to evaluate the entropy generation and Bejan number numerically using the finite difference method. The effect of various parameters and numbers such as Hartman, Brinkman, Reynolds, magnetic Reynolds, coupling numbers, slip flow and convective parameters is represented graphically.

### MSC:

76R99 | Diffusion and convection |

76W05 | Magnetohydrodynamics and electrohydrodynamics |

76A05 | Non-Newtonian fluids |

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

80A19 | Diffusive and convective heat and mass transfer, heat flow |

### Keywords:

Bejan number; rectangular duct; slip convective boundary condition; finite difference method; parametric ivestigation
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\textit{A. A. El Desouky} et al., Int. J. Adv. Appl. Math. Mech. 7, No. 3, 31--42 (2020; Zbl 1468.76064)

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