Computational Analysis of a Magnetohydrodynamic Flow in an Electrically Conducting Hairpin Duct


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This numerical study examines a three-dimensional liquid-metal magnetohydrodynamic flow in a hairpin-shaped electrically-conducting duct with a square cross-section under a uniform magnetic field applied perpendicular to the flow plane. Predicted is detailed information on fluid velocity, pressure, current, and electric potential in the magnetohydrodynamic duct flow. Higher velocities are observed in the side layers in the inflow and outflow channels, yielding M-shaped velocity profiles. More specifically, in the present study the axial velocity in the side layer near the partitioning wall is higher than that near the outer walls because of the current features therein. In the turning segment, a large velocity recirculation is observed at the entrance of the outflow channel caused by the flow separation, yielding complicated distributions of the electric potential and current therein. The pressure almost linearly decreases along the main flow direction, except for in the turning segment.



Edited by:

Abdel Hamid Ismail Mourad and József Kázmér Tar




X. J. Xiao and C. N. Kim, "Computational Analysis of a Magnetohydrodynamic Flow in an Electrically Conducting Hairpin Duct", Applied Mechanics and Materials, Vol. 527, pp. 43-48, 2014

Online since:

February 2014




* - Corresponding Author

[1] M. A. Abdou et al., On the exploration of innovative concepts for fusion chamber technology fusion, Fusion Engineering and Design 54 (2001) 181–247.

[2] L. Barleon et al., Experimental and theoretical work on MHD at the Kernforschungszen-trum Karlsruhe. The MEKKA-Program, Proceeding of the IUTAM Symposium on Liquid Metal MHD, May 16-20, Riga, USSR, (1988).

[3] J. C. R. Hunt and J.A. Shercliff, Magnetohydrodynamics at high Hartmann numbers, Ann, Rev. Fluid Mech. 3, 37-62 (1971).

[4] J. C. R. Hunt, Magnetohydrodynamic flow in rectangular ducts, Journal of Fluid Mech. 21 (4), 577-590 (1965).

[5] M. N. Ni, R. Munipalli, N. Morley, P. Huang and M. Abdou, Validation case results for 2D and 3D MHD simulation, Fusion Science and Technology Vol. 52, pp.587-594 (2007).


[6] T. Zhou, Z. Yang, M. Ni, and H. Chen, Code development and validation for analyzing liquid metal MHD flow in rectangular ducts, Fusion Engineering and Design, Vol. 85 pp.1736-1741(2010).


[7] T. Zhou, H. Chen and Z. Yang, Effect of fringing magnetic field on magnetohydrodynamic flow in rectangular duct, Fusion Engineering and Design, Vol. 86, pp.2352-2357 (2011).


[8] W. Raw, Robustness of coupled algebraic multigrid for the Navier-Stokes equations, A9618260, AIAA Meeting Paper 96-0297 (1996).

[9] W. Z. Shen, J.A. Michelsen, J.N. Sorensen, Improved Rhie-Chow interpolation for unsteady flow computations, AIAA Journal 39(12): 2406-2409 (2001).


[10] J. S. Walker, Magnetohydrodynamic flows in rectangular ducts with thin conducting wall, J. de Mecanique, vol. 20, no. 1, pp.79-112 (1981).