Citation:

M.Y. Abdollahzadeh Jamalabadi.Analytical Study of Magnetohydrodynamic Propulsion Stability[J].Journal of Marine Science and Application,2014,(3):281-290.[doi:10.1007/s11804-014-1258-6]

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M.Y. Abdollahzadeh Jamalabadi.Analytical Study of Magnetohydrodynamic Propulsion Stability[J].Journal of Marine Science and Application,2014,(3):281-290.[doi:10.1007/s11804-014-1258-6]

Analytical Study of Magnetohydrodynamic Propulsion Stability

- Title:
- Analytical Study of Magnetohydrodynamic Propulsion Stability

- Author(s):
- M.Y. Abdollahzadeh Jamalabadi

- Affilations:

- Keywords:
- stability frequency; Stuart number; transient flow; Eletro-magnetic interaction number; duct flow; MHD propulsion

- DOI:
- 10.1007/s11804-014-1258-6

- Abstract:
- In this paper an analytical solution for the stability of the fully developed flow drive in a magneto-hydro-dynamic pump with pulsating transverse Eletro-magnetic fields is presented. To do this, a theoretical model of the flow is developed and the analytical results are obtained for both the cylindrical and Cartesian configurations that are proper to use in the propulsion of marine vessels. The governing parabolic momentum PDEs are transformed into an ordinary differential equation using approximate velocity distribution. The numerical results are obtained and asymptotic analyses are built to discover the mathematical behavior of the solutions. The maximum velocity in a magneto-hydro-dynamic pump versus time for various values of the Stuart number, electro-magnetic interaction number, Reynolds number, aspect ratio, as well as the magnetic and electrical angular frequency and the shift of the phase angle is presented. Results show that for a high Stuart number there is a frequency limit for stability of the fluid flow in a certain direction of the flow. This stability frequency is dependent on the geometric parameters of a channel.

Aiba N, Tokuda S, Furukawa M, Snyder PB, Minerva MSC (2009). Ideal MHD stability code for toroidally rotating tokamak plasmas. Computer Physics Communications, 180(8), 1282-1304.

Antia M (1991). Numerical Methods for Scientists and Engineers. Tata McGraw-Hill, New Delhi, India.

Araseki H, Kirillov IR, Preslitsky GV, Ogorodnikov AP (2000). 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, 200(3), 397-406.

Araseki H, Kirillov IR, Preslitsky GV, Ogorodnikov AP (2004). Magnetohydrodynamic instability in annular linear induction pump: Part I. Experiment and numerical analysis. Nuclear Engineering and Design, 227(1), 29-50.

Araseki H, Kirillov IR, Preslitsky GV, Ogorodnikov AP (2006). Magnetohydrodynamic instability in annular linear induction pump: Part II. Suppression of instability by phase shift. Nuclear Engineering and Design, 236(9), 965-974.

Araseki H, Kirillov IR, Preslitsky GV, Ogorodnikov AP (2012). Sodium flow rate measurement method of annular linear induction pumps. Nuclear Engineering and Design, 243, 111-119.

Attia HA (2003). The effect of variable properties on the unsteady Hartmann flow with heat transfer considering the Hall effect. Applied Mathematical Modelling, 27(7), 551-563.

Bakhtiari M, Ghassemi H (2014). numerical analysis of electromagnetic control of the boundary layer flow on a ship hull. Open Journal of Fluid Dynamics, 4, 74-82.

Eijkel JCT, Dalton C, Hayden CJ, Burt JPH, Manz A (2003). A circular ac magnetohydrodynamic micropump for chromatographic applications. Sensors and Actuators B: Chemical, 92(1-2), 215-221.

Giannakis D, Fischer PF, Rosner R (2009). A spectral Galerkin method for the coupled Orr–Sommerfeld and induction equations for free-surface MHD. Journal of Computational Physics, 228(4), 1188-1233.

Gilbert JB, Lin TF (1991). Studies of MHD propulsion for underwater vehicles and seawater conductivity enhancement. DTIC Document.

Gong Y, Zhang J, Li G, Ma T, Dai Y, Liu J, Liu Y, Wang X (2008). The effects of race-track and DRAKON configurations on MHD equilibria and stabilities in toroidal devices. Vacuum, 83 (1), 48-51.

Hayanose N, Inui Y, Ishikawa M, Umoto J (1998). Stability of open-cycle MHD generation system connected to power transmission line. Energy Conversion and Management, 39(11), 1181-1192.

Hayanose N, Inui Y, Ishikawa M (2001). Effects of installed system dumping resistors on stability of open cycle disk type MHD generator connected to power transmission line. Energy Conversion and Management, 42(10), 1191-1203.

Homsy A, Linder V, Lucklum F, Rooij NF (2007). Magnetohydrodynamic pumping in nuclear magnetic resonance environments. Sensors and Actuators B: Chemical, 123(1), 636-646.

http://www.skewsme.com/mhd.html#ren4

Ikbal MA, Chakravarty S, Wongb KL, Mazumdarb J, Mandala PK (2009). Unsteady response of non-Newtonian blood flow through a stenosed artery in magnetic field. Journal of Computational and Applied Mathematics, 23, 243-259.

Inoue I, Inui Y, Hayanose N, Ishikawa M (2003). Transient stability analysis of commercial scale open cycle disk MHD generator connected to power system. Energy Conversion and Management, 44(5), 731-741.

Ishikawa M, Kyogoku A, Umoto J (1996). Stability of large-scale MHD channels designed for coal-fired MHD power generation. Energy Conversion and Management, 37(1), 31-41.

Kang HJ, Choi B (2011). Development of the MHD micropump with mixing function. Sensors and Actuators A: Physical, 165(2), 439-445.

Kang W, Xu Z, Pan C (2006). MHD stabilities of liquid metal jet flows with gradient magnetic field. Fusion Engineering and Design, 81(8-14), 1019-1025.

Kirillov IR, Obukhov DM (2003). Two dimensional model for analysis of cylindrical linear induction pump characteristics: model description and numerical analysis. Energy Conversion and Management, 44(17), 2687-2697.

Lauber P, Günter S, Könies A, Pinches SD (2007). LIGKA: A linear gyrokinetic code for the description of background kinetic and fast particle effects on the MHD stability in tokamaks. Journal of Computational Physics, 226(1), 447-465.

Li X, Cai X (2013). The global L2 stability of solutions to three dimensional mhd equations. Acta Mathematica Scientia, 33(1), 247-267.

Lugovtsov BA, Kotelnikova MS (2010). On stability of MHD flows located on the surface of axisymmetric torus. Journal of Hydrodynamics, Ser. B, 22(5), 51-54.

Maiellaro M, Labianca A (2002). On the nonlinear stability in anisotropic MHD with application to Couette–Poiseuille flows. International Journal of Engineering Science, 40(9), 1053-1068.

Makinde D (2003). magneto-hydrodynamic stability of plane-poiseuille flow using multideck asymptotic technique. Mathematical and Computer Modelling, 37, 251-259.

Makinde OD and Mhone PY (2007). Temporal stability of small disturbances in MHD Jeffery–Hamel flows. Computers & Mathematics with Applications, 53(1), 128-136.

Malecha K, Golonka LJ (2008). Microchannel fabrication process in LTCC ceramics. Microelectronics Reliability, 48(6), 866-871.

Matsuo T, Ishikawa M, Umoto J (1994). Numerical analysis of bifurcation phenomena in supersonic MHD generator with supersonic diffuser. Energy Conversion and Management, 35(6), 507-516.

Matsuo T, Ishikawa M, Umoto J (1998). Stability of open-cycle subsonic disk MHD generator. Energy Conversion and Management, 39(9), 915-925.

Moffatt HK (1989). On the existence, structure and stability of mhd equilibrium states. Turbulence and Nonlinear Dynamics in MHD Flows: A volume in North-Holland Delta Series, 185-195

Ospina R, Devia DM, Arango YC, Arango PJ, Devia A (2008). Stability study for the MHD problem in perforated and parallel walls. Applied Mathematical Modelling, 32(6), 1003-1016.

Peng Y, Zhao LZ, Song SJ, Sha CW, Li R, Xu YY (2008). Experimental study on alternating magnetic field magnetohydrodynamic pump. Journal of Hydrodynamics, Ser. B, 20(5), 591-595.

Plunian F, Stepanov R, Frick P (2013). Shell models of magnetohydrodynamic turbulence. Physics Reports, 523, 1-60.

Potter MC, Kutchey JA (1973). Stability of plane Hartmann flow subject to a transverse magnetic field. Physics of Fluids, 16(11), 1848.

Qian S, Bau HH (2005). Magneto-hydrodynamic stirrer for stationary and moving fluids. Sensors and Actuators B: Chemical, 106(2), 859-870.

Qian S, Bau HH (2009). Magneto-hydrodynamics based microfluidics. Mechanics Research Communications, 36(1), 10-21.

Qin YM, Liu X, Yang XG (2012). Global existence and exponential stability for a 1D compressible and radiative MHD flow. Journal of Differential Equations, 253(5), 1439-1488.

Rice WA (1961). U.S. Patent No. 2997013. Washington DC: US Patent and Trademark Office.

Sasakawa Y (1997). Yamato-1the world’s first superconducting MHD propulsion ship. Ship & Ocean Foundation, Tokyo, Japan, ISBN 4-916148-02-9.

Schlichting H (1986). Boundary layer theory, McGraw-Hill, New York, USA.

Takashima M (1996). The stability of the modified plane Poiseuille flow in the presence of a transverse magnetic field. Fluid Dynamic Resources, 17, 293.

Wang PJ, Chang CY, Chang ML (2004). Simulation of two-dimensional fully developed laminar flow for a magneto-hydrodynamic (MHD) pump. Biosensors and Bioelectronics, 20(1), 115-121.

Wang XD, Song CF, Yu BJ, Chen L, Qian LM (2013). Nanowear behaviour of monocrystalline silicon against SiO2 tip in water ,Wear, 298-299(15), 80-86.

Weston MC, Fritsch I (2012). Manipulating fluid flow on a chip through controlled-current redox magneto-hydrodynamics. Sensors and Actuators B: Chemical, 173, 935-944

Yi S, Kim JY, Ryu CM (2010). MHD stability analysis for advanced tokamak modes in the KSTAR device. Fusion Engineering and Design, 85(5), 796-802.

Yinga AY, Abdou MA, Morley N, Sketchley T, Woolley R, Burris J, Kaita R, Fogarty P, Huang H, Lao X, Narula M, Smolentsev S, Ulrickson M (2004). Exploratory studies of flowing liquid metal divertor options for fusion-relevant magnetic fields in the MTOR facility. Fusion Engineering and Design, 72, 35-62.

Zhong J, Yi M, Bau HH (2002). Magneto hydrodynamic (MHD) pump fabricated with ceramic tapes. Sensors and Actuators A: Physical, 96(1), 59-66.

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Last Update:
2014-10-16