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El Desouky, A. A.; Ismail, Hassan Nasr Ahamed; Abourabia, Aly Maher; Hammad, D. A.; Ahmed, Nasrelden A.

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

Int. J. Adv. Appl. Math. Mech. 7, No. 3, 31-42 (2020).
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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