Vol. 55

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues

Contribution to the Analytical Evaluation of the Efficiency and the Optimal Control of Conductive Fluids by Electromagnetic Forces

By Hocine Menana and Celine Gabillet
Progress In Electromagnetics Research M, Vol. 55, 153-159, 2017


This work deals with the evaluation of the efficiency and optimal control of conductive fluids by using electromagnetic forces. An electromagnetic actuator based on a succession of electrodes and magnets annuli is implemented on the surface of the rotating cylinder of a Taylor-Couette device. Considering a laminar flow, the magnetohydrodynamic (MHD) problem is formulated and solved analytically. The different MHD powers, control efficiency and optimal values of the control parameters are evaluated.


Hocine Menana and Celine Gabillet, "Contribution to the Analytical Evaluation of the Efficiency and the Optimal Control of Conductive Fluids by Electromagnetic Forces," Progress In Electromagnetics Research M, Vol. 55, 153-159, 2017.


    1. Oualli, H., M. Mekadem, M. Lebbi, and A. Bouabdallah, "Taylor-Couette flow control by amplitude variation of the inner cylinder cross-section oscillation," Eur. Phys. J. Appl. Phys., Vol. 71, 11102, 2015.

    2. Albrecht, T., J. Stiller, H. Metzkes, T. Weier, and G. Gerbeth, "Electromagnetic flow control in poor conductors," Eur. Phys. J. Special Topics, 220-275, 2013.

    3. Berger, T. W., J. Kim, C. Lee, and J. Lim, "Turbulent boundary layer control utilizing the Lorentz force," Physics of Fluids, Vol. 12, No. 3, 631-649, March 2000.

    4. Weier, T., U. Fey, G. Gerbeth, G. Mutschke, O. Lielausis, and E. Platacis, "Boundary layer control by means of wall parallel Lorentz forces," Magnetohydrodynamics, Vol. 37, No. 1-2, 177-186, 2001.

    5. Hinze, M., "Control of weakly conductive fluids by near wall Lorentz forces," GAMM-Mitt, Vol. 30, No. 1, 149-158, 2007.

    6. Thibault, J.-P. and L. Rossi, "Electromagnetic flow control: Characteristic numbers and flow regimes of a wall-normal actuator," J. Phys. D: Appl. Phys., Vol. 36, No. 1, 2003.

    7. Taylor, G. I., "Stability of viscous liquid contained between two rotating cylinders," Phil. Trans. R. Soc. Lond. A, Vol. 223, 289-343, 1923.

    8. Menana, H., J. F. Charpentier, and C. Gabillet, "Contribution to the MHD modeling in low speed radial flux AC machines with air-gaps filled with conductive fluids," IEEE Trans. Mag., Vol. 50, No. 1, 1-4, Vol. 8100104, January 2014.

    9. White, M. F., Fluid Mechanics, 4th Ed., McGraw-Hill, Inc., 1995.

    10. Dou, H.-S., B. C. Khoo, and K. S. Yeo, "Energy loss distribution in the plane couette flow and the Taylor-Couette flow between concentric rotating cylinders," Inter. J. of Therm. Sci., Vol. 46, 262-275, 2007.