FEM solution of MHD flow im rectangular ducts with different wall conductivities and slip conditions

Tezer, Münevver
Aydın, Selçuk Han
This paper presents numerical solution of the magnetohydrodynamic (MHD) flow in a rectangular duct under several combinations of insulated and perfectly conducting, and partly insulated partly conducting walls with Hartmann walls or side walls or all the walls exhibiting slip. A uniform magnetic field is applied horizontally and the flow is driven by a constant pressure gradient. The finite element method (FEM) is used with SUPG stabilization to obtain the velocity and the induced magnetic field for Hartmann number values M ≤ 100 and for several values of slip length. It is found that as M increases the well-known MHD characteristics are observed as the flattening of the flow and the enlargement of the core region (fluid is stagnant). As the slip length increases, velocity of the fluid increases, the core region gets smaller and the slip is more pronounced when the slip ratio ≥ 1. When the Hartmann walls exhibit slip and are insulated, side layers become thicker than the ones obtained in no-slip Hartmann walls. However, conducting Hartmann walls weakened the slip velocity and the Hartmann layers considerably for large values of Hartmann number. When the side walls are insulated and exhibit slip, flow is concentrated symmetrically in front of the side walls whereas conducting Hartmann walls result in weakened Hartmann layers. In partly insulated partly conducting Hartmann walls, the main flow is concentrated between the parabolic layers emanating from the points of conductivity changes.
Citation Formats
M. Tezer and S. H. Aydın, “FEM solution of MHD flow im rectangular ducts with different wall conductivities and slip conditions,” presented at the 2017 EMI International Conference, 2017, Accessed: 00, 2021. [Online]. Available: http://www.swge.inf.br/PDF/EMI2017IC-0019_063008.PDF.