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Experiments in Fluids

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01.01.2018 | Research Article

Local Lorentz force and ultrasound Doppler velocimetry in a vertical convection liquid metal flow

verfasst von: Till Zürner, Tobias Vogt, Christian Resagk, Sven Eckert, Jörg Schumacher

Erschienen in: Experiments in Fluids | Ausgabe 1/2018

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Abstract

We report velocity measurements in a vertical turbulent convection flow cell that is filled with the eutectic liquid metal alloy gallium–indium–tin by the use of local Lorentz force velocimetry (LLFV) and ultrasound Doppler velocimetry. We demonstrate the applicability of LLFV for a thermal convection flow and reproduce a linear dependence of the measured force in the range of micronewtons on the local flow velocity magnitude. Furthermore, the presented experiment is used to explore scaling laws of the global turbulent transport of heat and momentum in this low-Prandtl-number convection flow. Our results are found to be consistent with theoretical predictions and recent direct numerical simulations.

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Adrian RJ, Westerweel J (2011) Particle image velocimetry. Cambridge University Press, CambridgeMATH

Asai S (2012) Electromagnetic processing of materials, fluid mechanics and its applications, vol 99. Springer, DordrechtCrossRef

Baker NT, Pothérat A, Davoust L, Debray F, Klein R (2017) Controlling the dimensionality of low-Rm MHD turbulence experimentally. Exp Fluids 58(7)

Batchelor GK (1954) Heat transfer by free convection across a closed cavity between vertical boundaries at different temperatures. Q Appl Math 12(3):209–233MathSciNetCrossRefMATH

Boden S, Eckert S, Willers B, Gerbeth G (2008) X-ray radioscopic visualization of the solutal convection during solidification of a Ga-30 Wt Pct In alloy. Metall Mater Trans A 39(3):613–623CrossRef

Brito D, Nataf HC, Cardin P, Aubert J, Masson JP (2001) Ultrasonic Doppler velocimetry in liquid gallium. Exp Fluids 31(6):653–663CrossRef

Brown E, Ahlers G (2006) Rotations and cessations of the large-scale circulation in turbulent Rayleigh–Bénard convection. J Fluid Mech 568:351–386CrossRefMATH

Çengel YA (2008) Introduction to thermodynamics and heat transfer, 2nd edn. McGraw-Hill, New York

Chillà F, Schumacher J (2012) New perspectives in turbulent Rayleigh–Bénard convection. Eur Phys J E 35(7):58CrossRef

Davidson PA (2001) An introduction to magnetohydrodynamics, Cambridge texts in applied mathematics, vol 25, 1st edn. Cambridge University Press, Cambridge

Dubovikova N, Resagk C, Karcher C, Kolesnikov Y (2016) Contactless flow measurement in liquid metal using electromagnetic time-of-flight method. Meas Sci Technol 27(5):055,102CrossRef

Eckert S, Gerbeth G (2002) Velocity measurements in liquid sodium by means of ultrasound Doppler velocimetry. Exp Fluids 32(5):542–546CrossRef

Furlani EP (2001) Permanent magnet and electromechanical devices: materials, analysis, and applications. Electromagnetism. Academic Press Inc, San Diego

Heinicke C (2013) Spatially resolved measurements in a liquid metal flow with Lorentz force velocimetry. Exp Fluids 54(6):1–8CrossRef

Heinicke C, Tympel S, Pulugundla G, Rahneberg I, Boeck T, Thess A (2012) Interaction of a small permanent magnet with a liquid metal duct flow. J Appl Phys 112(12):124,914CrossRef

Hernández D, Schleichert J, Karcher C, Fröhlich T, Wondrak T, Timmel K (2016) Local Lorentz force flowmeter at a continuous caster model using a new generation multicomponent force and torque sensor. Meas Sci Technol 27(6):065,302CrossRef

Kelley DH, Sadoway DR (2014) Mixing in a liquid metal electrode. Phys Fluids 26(5):057,102CrossRef

Ng CS, Chung D, Ooi A (2013) Turbulent natural convection scaling in a vertical channel. Int J Heat Fluid Flow 44:554–562CrossRef

Ng CS, Ooi A, Lohse D, Chung D (2015) Vertical natural convection: application of the unifying theory of thermal convection. J Fluid Mech 764:349–361MathSciNetCrossRef

Plevachuk Y, Sklyarchuk V, Eckert S, Gerbeth G, Novakovic R (2014) Thermophysical properties of the liquid Ga–In–Sn eutectic alloy. J Chem Eng Data 59(3):757–763CrossRef

Ricou R, Vives C (1982) Local velocity and mass transfer measurements in molten metals using an incorporated magnet probe. Int J Heat Mass Transf 25(10):1579–1588CrossRef

Scheel JD, Schumacher J (2016) Global and local statistics in turbulent convection at low Prandtl numbers. J Fluid Mech 802:147–173MathSciNetCrossRef

Shevchenko N, Boden S, Eckert S, Borin D, Heinze M, Odenbach S (2013) Application of X-ray radioscopic methods for characterization of two-phase phenomena and solidification processes in metallic melts. Eur Phys J Spec Top 220(1):63–77CrossRef

Shishkina O (2016) Momentum and heat transport scalings in laminar vertical convection. Phys Rev E 93(5):051,102(R)CrossRef

Sokolov I, Noskov V, Pavlinov A, Kolesnikov Y (2016) Lorentz force velocimetry for high speed liquid sodium flow. Magnetohydrodynamics 52(4):481–493

Stefani F, Gerbeth G (1999) Velocity reconstruction in conducting fluids from magnetic field and electric potential measurements. Inverse Probl 15(3):771MathSciNetCrossRefMATH

Takeda Y (1986) Velocity profile measurement by ultrasound Doppler shift method. Int J Heat Fluid Flow 7(4):313–318CrossRef

Tasaka Y, Igaki K, Yanagisawa T, Vogt T, Zürner T, Eckert S (2016) Regular flow reversals in Rayleigh–Bénard convection in a horizontal magnetic field. Phys Rev E 93(4):043,109CrossRef

Thess A, Votyakov EV, Kolesnikov Y (2006) Lorentz force velocimetry. Phys Rev Lett 96(16)

Thess A, Votyakov EV, Knaepen B, Zikanov O (2007) Theory of the Lorentz force flowmeter. New J Phys 9(8):299CrossRef

Vasilyan S, Fröhlich T (2014) Direct Lorentz force compensation flowmeter for electrolytes. Appl Phys Lett 105(22):223,510CrossRef

Vladimirov VS (1972) Gleichungen der mathematischen Physik, Hochschulbücher für Mathematik, vol 74. VEB Deutscher Verlag der Wissenschaften, Berlin

Vogt T, Grants I, Eckert S, Gerbeth G (2013) Spin-up of a magnetically driven tornado-like vortex. J Fluid Mech 736:641–662CrossRefMATH

Vogt T, Räbiger D, Eckert S (2014) Inertial wave dynamics in a rotating liquid metal. J Fluid Mech 753:472–498CrossRef

Wang XD, Klein R, Kolesnikov Y, Thess A (2011) Application of Lorentz force velocimetry to open channel flow. Mater Sci Forum 690:99–102CrossRef

Wegfrass A, Diethold C, Werner M, Fröhlich T, Halbedel B, Hilbrunner F, Resagk C, Thess A (2012) A universal noncontact flowmeter for liquids. Appl Phys Lett 100(19):194,103CrossRef

Wiederhold A, Ebert R, Weidner M, Halbedel B, Fröhlich T, Resagk C (2016) Influence of the flow profile to Lorentz force velocimetry for weakly conducting fluids–an experimental validation. Meas Sci Technol 27(12):125,306CrossRef

Wondrak T, Pal J, Stefani F, Galindo V, Eckert S (2017) Visualization of the global flow structure in a modified Rayleigh–Benard setup using contactless inductive flow tomography. Flow Meas Instrum

Yu H, Li N, Ecke RE (2007) Scaling in laminar natural convection in laterally heated cavities: is turbulence essential in the classical scaling of heat transfer? Phys Rev E 76(2):026,303CrossRef

Zhou Q, Xi HD, Zhou SQ, Sun C, Xia KQ (2009) Oscillations of the large-scale circulation in turbulent Rayleigh–Bénard convection: the sloshing mode and its relationship with the torsional mode. J Fluid Mech 630:367–390CrossRefMATH

Titel: Local Lorentz force and ultrasound Doppler velocimetry in a vertical convection liquid metal flow
verfasst von: Till Zürner
Tobias Vogt
Christian Resagk
Sven Eckert
Jörg Schumacher
Publikationsdatum: 01.01.2018
Verlag: Springer Berlin Heidelberg
Erschienen in: Experiments in Fluids / Ausgabe 1/2018
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI: https://doi.org/10.1007/s00348-017-2457-0

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