Finite Element Analysis of Magnetohydrodynamic Propulsion and the Effect of End Electric Current on the Efficiency
Abstract
In this paper, a marine magnetohydrodynamic thruster is simulated three dimensionally and its operating parameters are obtained. In this simulation, both electromagnetic and fluid flow fields are considered in three dimensions and the effects of magnetic field non- uniformity on the operating parameters of the thruster are investigated. To do this, a typical saddle shaped MHD thruster with specific dimensions is selected and its geometry is implemented in the software environment. The electric current of superconducting coils is selected using a trial-and- error method, in such a way that the average magnetic flux density in the channel becomes 15 T. An analytical model is used to validate the numerical results. It is shown that some of the operating parameters of MHD thruster, such as fluid velocity, are not affected by the end current of the channel. These parameters are functions of the effective electric current of the thruster and can be calculated analytically. On the contrary, other parameters, such as efficiency, are strongly influenced by the end effects of the channel. These operating parameters are functions of the overall electric current of the thruster and should be calculated numerically.
M. Haghparast, “Transient Analysis of magnetohydrodynamic seawater thrusters with decaying magnetic field,” Ships and Offshore Structures, vol. 12, no. 5, pp. 591-598, 2017##
I. Kirillov and D. Obukhov, “Two dimensional model for analysis of cylindrical linear induction pump characteristics: model description and numerical analysis,” Energy conversion and management, vol. 44, no. 17, pp. 2687-2697, 2003##
S. S. Katsnelson and G. A. Pozdnyakov, “Experimental study of a centrifugal conductive MHD pump,” IEEE Transactions on Plasma Science, vol. 40, no. 12, pp. 3528-3532, 2012##
M. Mesurolle, Y. Lefèvre, and C. Casteras, “Electric vector potential formulation to model a magnetohydrodynamic inertial actuator,” IEEE Transactions on Magnetics, vol. 52, no. 3, pp. 1-4, 2016##
Y. Haiqi and Z. Miaoyong, “Three-dimensional magnetohydrodynamic calculation for coupling multiphase flow in round billet continuous casting mold with electromagnetic stirring,” IEEE Transactions on Magnetics, vol. 46, no. 1, pp. 82-86, 2010##
G. Yoshikawa, K. Hirata, and F. Miyasaka, “Numerical analysis of electromagnetic levitation of molten metal employing MPS method and FEM,” IEEE Transactions on Magnetics, vol. 47, no. 5, pp. 1394-1397, 2011##
D. Mitchell and D. Gubser, “Magnetohydrodynamic ship propulsion with superconducting magnets,” Journal of Superconductivity, vol. 1, no. 4, pp. 349-364, 1988##
K. Nishigaki et al., “Elementary study on superconducting electromagnetic ships with helical insulation wall,” Cryogenics, vol. 40, no. 6, pp. 353-359, 2000##
E. Doss and H. Geyer, “The need for superconducting magnets for MHD seawater propulsion,” 25th Intersociety Energy Conversion Engineering Conference, 1990##
E. Doss and G. Roy, “Effects of strong magnetic field on flow characteristics of MHD seawater propulsion system,” Argonne National Lab., IL (USA), 1989##
E. Doss and G. ROY, “Flow characteristics inside MHD seawater thrusters,” Journal of Propulsion and Power, vol. 7, no. 4, pp. 635-641, 1991##
E. Doss and H. Geyer, “Effects of friction and end losses on MHD thruster efficiency,” procedings of the 28th enginnering aspects of magnetohydrodynamic, 1990.
H. Jiang, Y. Peng, L. Zhao, C. Sha, Z. Lin, and R. Li, “Three-dimensional numerical simulation on helical channel MHD thruster,” IEEE International Conference on Electrical Machines and Systems, 2008##
M. A. Jamalabadi, “Analytical study of magnetohydrodynamic propulsion stability,” Journal of Marine Science and Application, vol. 13, no. 3, pp. 281-290, 2014##
M. A. Jamalabadi, “Effects of Micro-and Macro-Scale Viscous Dissipations with Heat Generation and Local Thermal Non-Equilibrium on Thermal Developing Forced Convection in Saturated Porous Media,” Journal of Porous Media, vol. 18, no. 9, 2015##
(2016). Finite Element Analysis of Magnetohydrodynamic Propulsion and the Effect of End Electric Current on the Efficiency. Applied Electromagnetics, 4(2), 37-46.
MLA
. "Finite Element Analysis of Magnetohydrodynamic Propulsion and the Effect of End Electric Current on the Efficiency". Applied Electromagnetics, 4, 2, 2016, 37-46.
HARVARD
(2016). 'Finite Element Analysis of Magnetohydrodynamic Propulsion and the Effect of End Electric Current on the Efficiency', Applied Electromagnetics, 4(2), pp. 37-46.
VANCOUVER
Finite Element Analysis of Magnetohydrodynamic Propulsion and the Effect of End Electric Current on the Efficiency. Applied Electromagnetics, 2016; 4(2): 37-46.
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