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2 nd Sino-German Workshop on EPM (Dresden) Experimental studies of bubble-driven liquid metal flows in a static magnetic field C. Zhang, S. Eckert, G. Gerbeth Forschungszentrum Rossendorf, Dresden - Germany. Background & Motivation.
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2nd Sino-German Workshop on EPM (Dresden) Experimental studies of bubble-driven liquid metal flows in a static magnetic field C. Zhang, S. Eckert, G. Gerbeth Forschungszentrum Rossendorf, Dresden - Germany
Background & Motivation • Numerous applications of bubble-driven flows and magnetic fields in metallurgical engineering • Combination of gas bubble injections and magnetic fields • Comprehensive understandings of such MHD two-phase flows
Scalar quantity transportations in MHD flows • A static magnetic field might both increase and decrease the heat transfer rate in enclosed thermal convections • T. Tagawa & H.Ozoe, J. Heat Transfer 120, 1027-1032 • U. Burr & Mueller, 2002. J. Fluid Mech 453, 345-369 • G. Authie, et al., 2003, Eur. J. Mech. B/Fluids 22, 203-220 • Flow field information are highly desirable • How about bubble-driven flow in a magnetic field? Single bubble motion; bubble plume flow
Bubble-driven flow: experimental setup • Cylindrical container aspect ratio=2.5 • Liquid metal – GaInSn • Single Ar bubble or bubble plume • Qmax=8cm3/s • A vertical longitudinal magnetic field • or a horizontal transverse magnetic • field, B=0 - 0.2T • UDV measurements of the vertical and • radial component velocity
Single bubble rising in a longitudinal magnetic field Rising bubble Bubble wake US transducer
Bubble wake modified by the longitudinal magnetic field B=0 B0
Bubble drag coefficient modified by the longitudinal magnetic field Magnetic interaction number: ratio between electromagnetic and inertial force (N = 0 ... 1.3) Bubble Eötvös number
Bubble velocity oscillation frequency and amplitude modified by the longitudinal magnetic field St = fde/uT
Bubble plume-driven flow in the transverse magnetic field- Spatial properties (Q=0.37cm3/s) B=0 B=0.06T
Bubble plume-driven flow in the transverse magnetic field- Spatial properties (Q=0.37cm3/s) B=0.11T B=0.17T
Bubble plume-driven flow in the transverse magnetic field- Spatialproperties (Q=3.7cm3/s) B=0 B=0.06T
Bubble plume-driven flow in the transverse magnetic field- Spatialproperties (Q=3.7cm3/s) B=0.11T B=0.17T
Bubble plume-driven flow in the transverse magnetic field-Radial component void fraction distribution measurements B Container cross-section view Q=7cm3/s
Bubble plume-driven flow in the transverse magnetic field- Temporalproperties (Q=4.0cm3/s) Q=5cm3/s R=0.87
Bubble plume-driven flow in the transverse magnetic field- Temporalproperties (Q=4.0cm3/s) Q=5cm3/s R=0.87
Summary • The non-intrusive UDV measuring technique allows us to look into the opaque liquid metal flows • A DC transverse magnetic field modifies both the spatial and temporal properties of the ordinary bubble-driven flow • DC magnetic field may enforce flow instabilities! (Continuous casting + EMBR) • Potential tools for controlling liquid metal flows in metallurgical engineering
Perspectives for future research projects Potential topics of interest: • Liquid metal mixing enhancement (control of heat and mass transfer in bubble plumes) • Gas phase distributions • Free surface stabilization • Continuous casting • … FZR: Capacity of EPM model experiments in metallurgical engineering • Liquid metal model experiments • Magnetic fields (tailored fields MULTIMAG facility) • Measuring techniques
Acknowledgement The research is supported by the Deutsche Forschungsgemeinschaft (DFG) in the form of the SFB 609 “Electromagnetic Flow Control in Metallurgy, Crystal Growth and Electrochemistry”. This support is gratefully acknowledged by the authors.
Magnetic field influence on the liquid velocity distribution in the container meridional plane Q=20sccm
Vortex structure evolution in a static magnetic field P. Davidson. 1995, JFM, 299, 153-186
by taking the curl of both sides and using the equation when the velocity is uniform in the direction of the magnetic field, then current density is a potential, namely so there is no Joule dissipation in such case. Accordingly, the Joule dissipation can be reduced by forming the two-dimensional vortical structures along the magnetic field line direction. D. Lee & H. Choi, JFM, 2001, 439. 367-394
Bubble drag coefficient modified by the longitudinal magnetic field
Bubble velocity oscillation frequency and amplitude modified by the longitudinal magnetic field