Author:
Bakalis Panteleimon A.,Hatzikonstantinou Pavlos M.
Abstract
Purpose
– The steady laminar quasi-3D fully developed magnetohydrodynamic (MHD) flow of a liquid metal in a curved annular channel is studied in order to determine the effect of the magnetic field on the velocity distribution. The paper aims to discuss this issue.
Design/methodology/approach
– Due to the fluid motion under the effect of the applied transverse external magnetic field, an additional magnetic field and an electric current density are induced. A hybrid formulation is used for the induced electric current density, implementing for its axial component the Ohm’s law and for its transverse components the Ampere’s law. The suggested formulation (denominated h-formulation) is combined with the extended Continuity Vorticity Pressure numerical variational method for MHD flows.
Findings
– Results are obtained for different values of curvature ratios and Hartmann numbers. It is proved that as the strength of the magnetic field increases, two side regions of velocity jets are formulated in the right and in the left half sides of the inner cylinder in a direction parallel to the external magnetic field. The magnitude of the axial velocity at each region is determined by the balance of the centrifugal and the electromagnetic forces. The results help to better understand the MHD flow in toroidal ducts.
Originality/value
– The results aim to help to a better understanding of the MHD flow in curved ducts.
Subject
Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials
Reference26 articles.
1. Arakesi, H.
and
Kotake, S.
(1994), “A self-correcting procedure for computational liquid metal magnetohydrodynamics”,
Journal of Computational Physics
, Vol. 110 No. 2, pp. 301-309.
2. Bakalis, P.A.
and
Hatzikonstantinou, P.M.
(2011), “MHD and thermal flow between isothermal vertical concentric cylinders with rotation of the inner cylinder”,
Numerical Heat Transfer A
, Vol. 59 No. 11, pp. 836-856.
3. Bakalis, P.A.
,
Hatzikonstantinou, P.M.
and
Vafeas, P.
(2012), “Magnetohy drodynamic flow of a liquid metal in a curved circular duct under the effect of an external transverse magnetic field”, Proceedings of the 8th International Conference on Engineering Computational Technology, Civil-Comp Press, Stirling, September 4-7, paper 85.
4. Buhler, L.
(1998), “Laminar buoyant magnetohydrodynamic flow in vertical rectangular ducts”,
Physics of Fluids
, Vol. 10 No. 1, pp. 223-238.
5. Hatzikonstantinou, P.M.
and
Bakalis, P.A.
(2014), “A computational approach for the solution of the MHD and thermal flow of a liquid metal between two horizontal concentric cylinders”,
Progress in Computational Fluid Dynamics
, Vol. 14 No. 4, pp. 259-267.
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献