Modeling of fully coupled mhd flows in annular linear induction pumps

Roman, Cristian; Dumont, Mikael; Letout, S; Courtessole, Cyril; Vitry, S.; Rey, Frédéric; Fautrelle, Yves

doi:10.3233/jae-141755

Cited by 7 publications

(2 citation statements)

References 8 publications

(8 reference statements)

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“…The turbulence is modeled using the standard k-e model and the coupling between turbulence and electromagnetic field is ignored. From the practical viewpoint, the current model can predict the main flow characteristics, as long as the magnetic Reynolds number is below or only slightly exceeds one [12,18]. The electromagnetic field is solved using the set of Maxwell equations in the A-U formulation.…”

Section: Governing Equations and Modelmentioning

confidence: 99%

See 1 more Smart Citation

Analysis on the Inception of the Magnetohydrodynamic Flow Instability in the Annular Linear Induction Pump Channel

Zhao

Xiaohui

Pan

et al. 2021

Journal of Fluids Engineering

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Flow instability is the intricate phenomenon in the Annular Linear Induction Pump when the pump runs at off-design working condition. A 3D numerical model is built to simulate the flow in the pump channel. The pump heads at different flow rates are accurately predicted by comparing with experiment. The simulation results show the fluid velocity is circumferentially non-uniform in the pump channel even at the nominal flow rate. The flow in the middle sector continuously decelerates to nearly zero with the reducing flow rate. Reversed flow occurs in the azimuthal plane, followed by vortex flow. The reason for the heterogeneous velocity field is attributed to the mismatch between non-uniform Lorentz force and relatively even pressure gradient. It is seen that the flow in the region of small Lorentz force has to sacrifice its velocity to match with the pressure gradient. An analytic expression of the axial Lorentz force is then developed and it is clearly demonstrated the Lorentz force could be influenced by the profiles of velocity and radial magnetic flux density. The coupling between velocity and magnetic field is studied by analyzing the magnitudes of different terms in the dimensionless magnetic induction equation. It is found the dissipation term is determined not only by the magnetic Reynolds number but the square of wave number of the disturbance in each direction. The smaller disturbing wave number weakens the dissipating effect, resulting in the larger non-uniform magnetic field and axial Lorentz force.

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Section: Governing Equations and Modelmentioning

confidence: 99%

“…Substituting the nondimensional forms of Eqs. ( 14) and (18) into Eq. ( 17) and the magnetic induction equation for B r * becomes as…”

Section: Analytical Expression Of Axial Lorentz Forcementioning

confidence: 99%

Analysis on the Inception of the Magnetohydrodynamic Flow Instability in the Annular Linear Induction Pump Channel

Zhao

Xiaohui

Pan

et al. 2021

Journal of Fluids Engineering

View full text Add to dashboard Cite

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Mechanisms of energy conversion in induction magnetohydrodynamic pumps for transporting conducting liquids

Zhao

Xiaohui

Huang

et al. 2022

Energy

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Electromagnetohydrodynamic two-phase flow-induced vibrations in vertical heated upward flow

Jamalabadi

2018

Journal of Computational Design and Engineering

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In this paper, a mathematical model is presented to determine the effect of electro-magneto-hydro-dynamic forces on steady-state fluid-induced vibrations of vapor and liquid water flow in a heated vertical channel. The two-phase flow model used in this study includes continuity, non-homogeneous Navier-Stokes, non-equilibrium temperature balance with an approximation of spherical harmonics method (P-1 model) for thermal radiation at low-pressure condition close to saturation (1–2 bars). Governing equations are solved by finite volume method. The result of the code is validated with the various experimental data's accessible in previous works. Then the code is used to estimate the effects of Lorentz forces on two-phase flow-induced vibrations. As shown, the fluid-induced vibrations increase with the increase of electro-magneto-hydrodynamic forces. As shown by the increase of Lorentz force, the fluid impact, cross-sectional, water-hammer forces, the frequency of two-phase fluctuations and peak velocities are controlled while the root-mean-square fluid force increased. Furthermore, the result has shown that the Lorentz force has not influenced the bubble departure frequency, surface tension force, and density of active nucleation site, bubble departure diameter, sound velocity, and the liquid superficial velocity. Highlights EMHD effects on two phase flow induced vibrations in a vertical channel is performed. Lorentz force controls water-hammer impact and velocities but RMS force increases. Bubble departure, nucleation, and superficial velocity unaffected by Lorentz force.

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Modeling of fully coupled mhd flows in annular linear induction pumps

Cited by 7 publications

References 8 publications

Analysis on the Inception of the Magnetohydrodynamic Flow Instability in the Annular Linear Induction Pump Channel

Analysis on the Inception of the Magnetohydrodynamic Flow Instability in the Annular Linear Induction Pump Channel

Mechanisms of energy conversion in induction magnetohydrodynamic pumps for transporting conducting liquids

Electromagnetohydrodynamic two-phase flow-induced vibrations in vertical heated upward flow

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