Magnetohydrodynamics in free surface liquid metal flow relevant to plasma-facing components

While flowing Liquid Metal (LM) Plasma-Facing Components (PFCs) represent a potentially transformative technology to enable long-pulse operation with high-power exhaust for fusion reactors, Magnetohydrodynamic (MHD) drag in the conducting LM will reduce the flow speed. Experiments have been completed in the linear open-channel LMX-U device [Hvasta et al 2018 Nucl. Fusion 58 01602] for validation of MHD drag calculations with either insulating or conducting walls, with codes similar to those used to design flowing LM PFCs for a Fusion Nuclear Science Facility [Kessel et al 2019 Fusion Sci. Technol. 75 886]. We observe that the average channel flow speed decreased with the use of conducting walls and the strength of the applied transverse magnetic field. The MHD drag from the retarding Lorentz force resulted in an increase of the LM depth in the channel that ‘piled up’ near the inlet, but not the outlet. As reproduced by OpenFOAM and ANSYS CFX calculations, the magnitude and characteristics of the pileup in the flow direction increased with the applied traverse magnetic field by up to 120%, as compared to the case without an applied magnetic field, corresponding to an average velocity reduction of ∼45%. Particle tracking measurements confirmed a predicted shear in the flow speed, with the surface velocity increasing by 300%, despite the 45% drop in the average bulk speed. The MHD effect makes the bulk flow laminarized but keeps surface waves aligned along the magnetic field lines due to the anisotropy of MHD drag. The 3D fringe field and high surface velocity generate ripples around the outlet region. It was also confirmed that the MHD drag strongly depends on the conductivity of the channel walls, magnetic field, and volumetric flow rate, in agreement with the simulations and a developed analytical model. These validated models are now available to begin to determine the conditions under which the ideal LM channel design of a constant flow speed and fluid depth could be attained.

[1]  C. Kessel,et al.  Numerical Analysis of Liquid Metal MHD Flow and Heat Transfer for Open-Surface Li Divertor in FNSF , 2022, IEEE Transactions on Plasma Science.

[2]  E. Kolemen,et al.  Divertorlets concept for low-recycling fusion reactor divertor: experimental, analytical and numerical verification , 2022, Nuclear Fusion.

[3]  A. Leonard,et al.  Developing solid-surface plasma facing components for pilot plants and reactors with replenishable wall claddings and continuous surface conditioning. Part A: concepts and questions , 2022, Plasma Physics and Controlled Fusion.

[4]  A. Leonard,et al.  Developing solid-surface plasma facing components for pilot plants and reactors with replenishable wall claddings and continuous surface conditioning. Part B: required research in present tokamaks , 2022, Plasma Physics and Controlled Fusion.

[5]  T. Morgan,et al.  Performance of liquid-lithium-filled 3D-printed tungsten divertor targets under deuterium loading with ELM-like pulses in Magnum-PSI , 2021, Nuclear Fusion.

[6]  A. Tassone,et al.  Numerical Simulation of Thin-Film MHD Flow for Nonuniform Conductivity Walls , 2021, Fusion Science and Technology.

[7]  R. Maingi,et al.  Modeling of liquid lithium flow in porous plasma facing material , 2021 .

[8]  E. Kolemen,et al.  Liquid metal “divertorlets” concept for fusion reactors , 2020, Nuclear Materials and Energy.

[9]  Jian-gang Li,et al.  Magnetohydrodynamic effects on liquid metal film flowing along an inclined plate relating to plasma facing components , 2020, Nuclear Fusion.

[10]  C. Kessel,et al.  Design and Analysis of the Liquid Metal Free-Surface Divertor Cooling System , 2019, Fusion Science and Technology.

[11]  F. Crisanti,et al.  Perspectives for the liquid lithium and tin targets in the Italian Divertor Test Tokamak (I-DTT) divertor , 2019, Nuclear Fusion.

[12]  L. Zakharov On a burning plasma low recycling regime with PDT = 23–26 MW, QDT = 5–7 in a JET-like tokamak , 2019, Nuclear Fusion.

[13]  C. Kessel,et al.  Critical Exploration of Liquid Metal Plasma-Facing Components in a Fusion Nuclear Science Facility , 2019, Fusion Science and Technology.

[14]  C. Kessel,et al.  Integrated Liquid Metal Flowing First Wall and Open-Surface Divertor for Fusion Nuclear Science Facility: Concept, Design, and Analysis , 2019, Fusion Science and Technology.

[15]  E. Kolemen,et al.  Study of liquid metal surface wave damping in the presence of magnetic fields and electrical currents , 2019, Nuclear Materials and Energy.

[16]  E. Kolemen,et al.  Design of the Flowing LIquid Torus (FLIT) , 2019, Nuclear Materials and Energy.

[17]  K. Tritz,et al.  Results from an improved flowing liquid lithium limiter with increased flow uniformity in high power plasmas in EAST , 2018, Nuclear Fusion.

[18]  T. Muroga,et al.  Study on measurement of the flow velocity of liquid lithium jet using MHD effect for IFMIF , 2018, Fusion Engineering and Design.

[19]  E. Kolemen,et al.  Experimental demonstration of hydraulic jump control in liquid metal channel flow using Lorentz force , 2018, Physics of Fluids.

[20]  A. Khodak Numerical Analysis of 2-D and 3-D MHD Flows Relevant to Fusion Applications , 2017, IEEE Transactions on Plasma Science.

[21]  Van de Sanden,et al.  Oscillatory vapour shielding of liquid metal walls in nuclear fusion devices , 2017, Nature Communications.

[22]  R. Nygren,et al.  Liquid surfaces for fusion plasma facing components—A critical review. Part I: Physics and PSI , 2016 .

[23]  Xu Zengyu,et al.  MHD Stability Analysis and Flow Controls of Liquid Metal Free Surface Film Flows as Fusion Reactor PFCs , 2016 .

[24]  Qingxi Yang,et al.  First results of the use of a continuously flowing lithium limiter in high performance discharges in the EAST device , 2016 .

[25]  S. Mirnov,et al.  A Review of the Present Status and Future Prospects of the Application of Liquid Metals for Plasma-Facing Components in Magnetic Fusion Devices , 2015 .

[26]  Y. Hirooka,et al.  Hydrogen and helium recycling from stirred liquid lithium under steady state plasma bombardment , 2014 .

[27]  R. Bell,et al.  Liquid lithium divertor characteristics and plasma–material interactions in NSTX high-performance plasmas , 2013 .

[28]  L. Zakharov,et al.  Development of and experiments with liquid lithium limiters on HT-7 , 2013 .

[29]  K. Unocic,et al.  Material compatibility with isothermal Pb–Li , 2012 .

[30]  D. Andruczyk,et al.  Lithium–metal infused trenches (LiMIT) for heat removal in fusion devices , 2011 .

[31]  M. L. Apicella,et al.  FTU results with a liquid lithium limiter , 2011 .

[32]  L C Cadwallader,et al.  GaInSn usage in the research laboratory. , 2008, The Review of scientific instruments.

[33]  L. Zakharov,et al.  Enhanced energy confinement and performance in a low-recycling tokamak. , 2006, Physical review letters.

[34]  Ming-Jiu Ni,et al.  Exploring liquid metal plasma facing component (PFC) concepts—Liquid metal film flow behavior under fusion relevant magnetic fields , 2006 .

[35]  M. Abdou,et al.  Progress on the modeling of liquid metal, free surface, MHD flows for fusion liquid walls , 2004 .

[36]  A. Hassanein,et al.  MHD problems in free liquid surfaces as plasma-facing materials in magnetically confined reactors☆ , 2002 .

[37]  Ralph W. Moir,et al.  On the exploration of innovative concepts for fusion chamber technology , 2001 .

[38]  Neil B. Morley,et al.  Liquid magnetohydrodynamics — recent progress and future directions for fusion , 2000 .

[39]  S. Molokov,et al.  Review of free-surface MHD experiments and modeling. , 2000 .

[40]  T. Terai,et al.  Compatibility of yttria (Y2O3) with liquid lithium , 1996 .

[41]  P. Roberts,et al.  Solutions of uniform, open‐channel, liquid metal flow in a strong, oblique magnetic field , 1996 .

[42]  Peter Davidson,et al.  Magnetic damping of jets and vortices , 1995, Journal of Fluid Mechanics.

[43]  E. V. Firsova,et al.  Liquid metal film flow for fusion application , 1995 .

[44]  M. Abdou,et al.  Initial liquid metal magnetohydrodynamic thin film flow experiments in the MeGA-loop facility at UCLA , 1995 .

[45]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[46]  E. Kolemen,et al.  Demonstrating electromagnetic control of free-surface, liquid-metal flows relevant to fusion reactors , 2017 .

[47]  R. Bell,et al.  Free surface stability of liquid metal plasma facing components , 2016 .

[48]  M. Trujillo,et al.  Evaluating the performance of the two-phase flow solver interFoam , 2012 .

[49]  A. Y. Yinga,et al.  Exploratory studies of flowing liquid metal divertor options for fusion-relevant magnetic fields in the MTOR facility , 2004 .

[50]  A. V. Tananaev,et al.  Flow of liquid metal in a chute in a coplanar magnetic field , 1987 .