Boundary-layer separation in circular diffuser flows in the presence of an external non-uniform magnetic field

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.

Effect of Non-uniform Magnetic Field on Non-newtonian Fluid Separation in a Diffuser

“…However, when Deborah number increases, the velocity is also increased. The effect of non-uniform magnetic intensity on separation in a diffuser with Newtonian fluid flow is provided by Moghimi et al [13]. The results indicated that by increasing the magnetic field intensity, the Lorentz force increased; then, the separation point was delayed .…”

Microorganisms swimming through radiative Sutterby nanofluid over stretchable cylinder: Hydrodynamic effect

“…MHD Maxwell fluid model flow with the characteristic of Falkner-Skan was investigated by Abbasbandy et al [15] and results were computed both analytically and numerically. Other related research of MHD can also be found in [16][17][18][19][20].…”

Evaluation of separation point in a divergent channel in the presence of non-uniform magnetic field

“…27,28 Furthermore, the authors provided semi-analytical studies to analyze the non-uniform magnetic field effect on the separation point for both Newtonian and non-Newtonian fluid flow in a diffusor. 29,30 According to the above literature, identification and control of the separation phenomena in 2Ddivergent MHD channel flows under the influence of a constant applied magnetic field has been presented; however, investigation of the separation point with considering variable magnetic field intensity has not been studied numerically. Therefore, in the present study, we aim to extend the authors' previous work; therefore, the research's main objective is to determine the separation point under a nonuniform magnetic field, which is more realistic in engineering applications.…”