Abstract
Abstract. The focus of the present work is on the investigation of the separation point and its relative location in a circular diffuser carrying incompressible laminar flow in the presence of a non-uniform external magnetic field. Two different approaches are deployed in the present analysis. In the first approach, a similarity transform is applied to reduce the momentum equation to the nonlinear ordinary differential equation (ODE). The ODE is solved by a dual integral–numerical method and the separation position is directly determined. In this combined numerical–integral methodology, the integration is applied followed by a numerical method. In the second approach, the equation is solved by the least square method (LSM), and the separation position is indirectly specified. In this study it is shown that the magnetic field intensity can be manipulated to postpone the separation such that it could be eliminated totally. Comparing the results yields a good agreement. It has been concluded that by increasing the magnetic field intensity, as the Lorentz force increases, increased shear stress on the wall and delay in the occurrence of the separation position are observed.
Highlights
Magnetohydrodynamics (MHD) is a physical–mathematical framework concerned with the dynamics of magnetic fields in electrically conducting fluids
According to the above survey, the numerous investigations focused on MHD flows for different applications, the displacement of the separation point for MHD flows in circular diffusers by changing the magnetic field intensity has not been studied yet
The separation position is determined directly using the semi-analytical method and so indirectly by the least square method (LSM), and the effect of the magnetic field intensity on the displacement of the separation point is discussed in detail
Summary
Magnetohydrodynamics (MHD) is a physical–mathematical framework concerned with the dynamics of magnetic fields in electrically conducting fluids. Taheri et al (2017) presented analytical solutions to laminar flow of MHD Newtonian and non-Newtonian power-law fluids in the entrance regions of channels. They observed that an augmentation of the magnetic interaction parameter leads to a greater pressure drop in comparison with a typical hydrodynamic flow without the presence of a magnetic field. The study represented the exact solutions of the MHD equations for the radial flow of a viscous incompressible fluid between non-parallel walls. According to the above survey, the numerous investigations focused on MHD flows for different applications, the displacement of the separation point for MHD flows in circular diffusers by changing the magnetic field intensity has not been studied yet. The separation position is determined directly using the semi-analytical method and so indirectly by the least square method (LSM), and the effect of the magnetic field intensity on the displacement of the separation point is discussed in detail
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