]. J. Shercliff and F. Gauche, DAVIDSON, An introduction to magnetohydrodynamics Anisan Nuclear ProspectsDevelopment of large flow ALIP EMP for application in ASTRID sodium cooled fast reactor and future plant reactorsDevelopment of experimental facility platform in support of the ASTRID program Available: https://en.wikipedia.org/wiki/Sodiumcooled_fast_reactor#/media/File:Sodium-Cooled_Fast_Reactor_Schemata .svgResults of an exprimental investigation of electromagnetic pumps for the BOR-60 facilityChoice of constructional Schemes of electromagnetic pumps for atomic energy stations with fast reactorsElectromagnetic pumps for Nuclear Energy power, 8th PAMIR International Conference Wikipedia, " 2015. [Online], pp.314-316, 1965.

A. M. Andreev, Electromagnetic pump CLIN-3/3500, Magnetohydrodynamics, issue.1, pp.61-68, 1988.

A. Oto, Sodium-immersed self-cooled electromagnetic pump design and development of a large-scale coil for high temperature, Nuclear technology, vol.110, issue.2, pp.159-167, 1994.

W. Kwant, In-sodium testing and preformance of a 43.5 m3/min electromagnetic pump for LMR application, 5th International Conference onn Nuclear Energy, 1997.

A. I. Voldek, Induction magnetohydrodynamic machines using liquid metal as working medium, 1970.

G. A. Baranov, Calculation and Design of Liquid-Metal MHD Induction Machines, 1978.

H. Araseki, Erratum to ???Double-supply-frequency pressure pulsation in annular linear induction pump Part 1: Measurement and numerical analysis???, Nuclear Engineering and Design, vol.198, issue.3, pp.85-100, 2000.
DOI : 10.1016/S0029-5493(00)00267-3

A. Gailitis, Internal hydraulics of magnetohydrodynamic machine with nonhomogenous distribution of forces, Magnetohydrodynamics, issue.2, pp.123-127, 1971.

A. Gailitis, Instability of homogeneous velocity distribution in an inductiontype MHD machine, Magnetohydrodynamics, issue.1, pp.87-101, 1975.

R. R. Krishberg, Experimental study of instability in plane-linear MHD induction machines, Magnetohydrodynamics, issue.3, pp.75-78, 1977.

R. A. Valdmane, Local characteristics of the flow in the channel of an induction MHD machine at large electromagnetic-interaction parameters, Magnetohydrodynamics, issue.1, pp.99-104, 1977.

I. R. Kirillov, Experimental investigation of flow nonuniformity in a cylindrical linear induction pump, Magnetohydrodynamics, issue.2, pp.107-113, 1980.

I. R. Kirillov, Local characteristics of a Cylindrical induction pump for Rms > 1, Magnetohydrodynamics, issue.2, pp.95-102, 1987.

I. R. Kirillov, Suppression of instability in linear induction pumps for Rms > 1 by modifying the external magnetic field, Magnetohydrodynamics, issue.4, pp.105-109, 1981.

A. Gailitis, Electrical stabilization of azimuthal mode in large electromagnetic induction pumps, Magnetohydrodynamics, issue.4, pp.3-7, 1993.

H. Araseki, Manetohydrodynamic instability in annular linear induction pump. Part II. Suppression of instability by phase shift, Nuclear Engineering and Design, pp.965-974, 2006.

A. Inc, ANSYS FLUENT magnetohydrodynamics (MHD) module manual, 2011.

G. K. Batchelor, An introduction to fluid dynamics, 2000.
DOI : 10.1017/CBO9780511800955

I. E. Idelchik, Handbook of hydraulic resistance, 1992.

N. M. Okhremenko, Experimental determination of the channel resistance coefficient for a turbulent MHD flow in a traveling magnetic field, Magnetohydrodynamics, vol.3, issue.3, pp.119-126, 1967.

J. J. Valdmanis, On theory of longitudal finite length effect in linear induction magnetohydrodynamic machine, Magnetohydrodynamics, pp.101-106, 1966.

I. R. Kirillov, Londitudal end effects in cylindrical induction MHD machines, Magnetohydrodynamics, issue.2, pp.109-116, 1972.

H. Araseki, Double-supply-frequency pressure pulsation in annular linear induction pump, part II: reduction of pulsation by linear winding grading at both stator ends, Nuclear Engineering and Design, vol.200, issue.3, pp.397-406, 2000.
DOI : 10.1016/S0029-5493(00)00254-5

H. Araseki, Magnetohydrodynamic instability in annular linear induction pump. Part I. Experiment and numerical analysis, Nuclear Engineering and Design, pp.29-50, 2004.

H. Ota, /min Large Capacity Sodium-Immersed Self-Cooled Electromagnetic Pump, Journal of Nuclear Science and Technology, vol.4, issue.8, pp.511-523, 2004.
DOI : 10.1080/18811248.2004.9715514

H. R. Kim, Design and Experimental Characterization of an EM Pump, Journal od the Korean Physical Society, issue.4, pp.309-314, 1999.

H. R. Kim, A design and characteristic experiment of the small annular linear induction electromagnetic pump, Annals of Nuclear Energy, vol.38, issue.5, pp.1046-1052, 2011.
DOI : 10.1016/j.anucene.2011.01.008

R. E. Schwirian, Analysis of linear-induction or travveling-wave electromagnetic pump of annular design, National Aeronautics and Space Administration, 1965.

C. Maidana, Design of an Annular Linear Induction Pump for Nuclear Space Applications, Proceedings of Nuclear Engineering Technologies for Space 2011, 2011.

H. R. Kim, The theoretical approach for viscose and end effects on a MHD pump for sodium circulation, Annals of Nuclear Energy, issue.62, pp.103-108, 2013.

R. R. Krishberg, Shunting effect of channel walls on external characteristics of plane-linear induction pump, Magnetohydrodynamics, issue.1, pp.142-145, 1989.

R. R. Krishberg, Limit of formation of counterparallel flows in plane-parallel induction MHD machines, Magnetohydrodynamics, issue.4, pp.112-116, 1978.

L. Leboucher, Channel shape optimization of electromagnetic pumps, IEEE Transactions on Magnetics, vol.31, issue.3, pp.2142-2145, 1995.
DOI : 10.1109/20.376470

L. Leboucher, Slot design of optimized electromagnetic pump, IEEE Transactions on Magnetics, vol.29, issue.6, pp.2953-2955, 1993.
DOI : 10.1109/20.280906

H. R. Kim, MHD instability analysis of a liquid sodium flow a the annular gap of an EM pump, Annals of Nuclear Physics, issue.43, pp.8-12, 2012.

F. Werkhoff, Finite -length effects and stability of electromagnetic pumps Experimental theral and fluid science, pp.166-170, 1991.

L. Goldsteins, Numerical quasi stationary and transient analysis of annular linear electromagnetic induction pump, COMSOL CONFERANCE ROTERDAM2013

B. G. Karasev, 3500 m3/h MHD pump for fast breeder reactorLiquid Metal Magnetohydrodynamics, pp.333-338, 1989.

I. R. Kirillov, Integral caracteristics of cylindrical induction pump in case of Rms >1, Magnetohydrodynamics, issue.3, pp.115-119, 1987.

A. Fanning, Giant Electromagnetic Pump for Sodium Cooled Reactor Applications Electric Machines and Drives Conference, pp.477-482, 2003.

B. K. Nashine, Design, in-soduim testing and preformance evaluation of annular linear induction pump for a sodium cooled fast reactor, Annals of Nuclear Energy, issue.73, pp.527-536, 2014.

R. Valdmane, Integral characteristics of induction-type MHD machines with large electromagnetic-interaction parameters, Magnetohydrodynamics, issue.4, pp.107-109, 1977.

R. R. Krishberg, An experimental investigation of MHD flow at high magnetic Reynolds numbers in induction pump having side-wall busbars, Magnetohydrodynamics, issue.2, pp.144-146, 1978.

S. Seong, ANALYSES OF ANNULAR LINEAR INDUCTION PUMP CHARACTERISTICS USING A TIME-HARMONIC FINITE DIFFERENCE ANALYSIS, Nuclear Engineering and Technology, vol.40, issue.3, pp.213-224, 2008.
DOI : 10.5516/NET.2008.40.3.213

I. R. Kirillov, Two dimensional model for analysis of cylindrical linear induction pump characteristics: model description and numerical analysis, Energy Conversion and Management, vol.44, issue.17, pp.2687-2697, 2003.
DOI : 10.1016/S0196-8904(03)00050-5

R. Valdmane, Calculation of the characteristics of an induction type MHD pump for Rms > 1 with allowance for the nonuniform distribution of external magnetic field, Magnetohydrodynamics, issue.3, pp.98-104, 1982.

I. R. Kirillov, Comparison of computer codesfor evaluation of double-supplyfrequency pulsation in linear induction pumps, Nuclear Enginering and Design, issue.231, pp.177-185, 2004.

J. Kilbane, Multiphysical modeling of an Annular Linear Induction Pump with Applications to Space Nuclear Pwer Systems, National Aeronautics and Space Administartion

P. G. Drazin, Introduction to Hydrodynamic Stability, 2002.

A. Inc, ANSYS FLUENT 12.0 User's Guide, 2009.

Y. Polovko, Contrast structures and rotating stall in MHD flows Transfer Phenomena in Magnetohydrodynamics and Electrocunductive Fows, pp.395-408, 1999.

C. C. Yang, A large electro-magnetic pump for high temperature LMFBR aplications, Nuclear Enigineering and Design, issue.44, pp.383-395, 1977.

H. Araseki, Sodium flowrate measurment method of annular linear induction pumps, Nuclear Engineering and Design, issue.243, pp.111-119, 2012.