Influence of velocity profile on calibration function ofLorentz force flowmeter

doi:10.1007/s10483-014-1844-7

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (8): 993-1004.doi: https://doi.org/10.1007/s10483-014-1844-7

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Influence of velocity profile on calibration function ofLorentz force flowmeter

C. STELIAN^1,2, Yang YU^1,3, Ben-wen LI³, A. THESS^1,4

1. Institute of Thermodynamics and Fluid Mechanics, Ilmenau University of Technology, Ilmenau 98684, Germany;
2. Department of Physics, West University of Timisoara, Timisoara 300233, Romania;
3. Key Laboratory of Electromagnetic Processing of Materials, Northeastern University, Shenyang 110819, P. R. China;
4. Institute of Engineering Thermodynamics, German Aerospace Center, Stuttgart 70569, Germany

Received:2013-09-26 Revised:2013-12-23 Online:2014-08-01 Published:2014-08-01
Supported by:
Project supported by the German Research Foundation (Deutsche Forschungsgemeinschaft)

Abstract

Abstract: A Lorentz force flowmeter is a noncontact electromagnetic flow-measuring device based on exposing a flowing electrically conducting liquid to a magnetic field and measuring the force acting on the magnet system. The measured Lorentz force is proportional to the flow rate via a calibration coefficient which depends on the velocity distribution and magnetic field in liquid. In this paper, the influence of different velocity profiles on the calibration coefficient is investigated by using numerical simulations. The Lorentz forces are computed for laminar flows in closed and open rectangular channels, and the results are compared with the simplified case of a solid conductor moving at a constant velocity. The numerical computations demonstrate that calibration coefficients for solid bodies are always higher than for liquid metals. Moreover, it can be found that for some parameters the solid-body calibration coefficient is almost twice as high as for a liquid metal. These differences are explained by analyzing the patterns of the induced eddy currents and the spatial distributions of the Lorentz force density. The result provides a first step for evaluating the influence of the laminar velocity profiles on the calibration function of a Lorentz force flowmeter.

Key words: laminar flow, numerical simulation, electromagnetic velocimetry

2010 MSC Number:

O361

C. STELIAN;Yang YU;Ben-wen LI;A. THESS. Influence of velocity profile on calibration function ofLorentz force flowmeter . Applied Mathematics and Mechanics (English Edition), 2014, 35(8): 993-1004.

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References

[1] Davidson, P. A. An Introduction to Magnetohydrodynamics, Cambridge University Press, Cam-bridge (2001)
[2] Shercliff, J. The Theory of Electromagnetic Flow Measurements, Cambridge University Press, Cambridge (1962)
[3] Thess, A., Votyakov, E. V., and Kolesnikov, Y. Lorentz force velocimetry. Physical Review Letters, 96, 164501 (2006)
[4] Thess, A., Votyakov, E. V., Knaepen, B., and Zikanov, O. Theory of the Lorentz force flowmeter. New Journal of Physics, 9, 299 (2007)
[5] Kolesnikov, Y., Karcher, C., and Thess, A. Lorentz force flowmeter for aluminium: laboratory experiments and plant tests. Metallurgical and Materials Transactions B, 42(3), 441-450 (2011)
[6] Priede, J., Buchenau, D., and Gerbeth, G. Single-magnet rotary flowmeter for liquid metals. Journal of Applied Physics, 110, 034512 (2011)
[7] Minchenya, V., Karcher, C., Kolesnikov, Y., and Thess, A. Dry calibration of the Lorentz force flowmeter. Magnetohydrodynamics, 45(4), 569-578 (2009)
[8] Stelian, C. Analysis of turbulent flow in closed and open channels with application in electromag-netic velocimetry. Magnetohydrodynamics, 48(4), 503-515 (2012)
[9] Minchenya, V., Karcher, C., Kolesnikov, Y., and Thess, A. Calibration of the Lorentz force flowme-ter. Flow Measurement and Instrumentation, 22, 242-247 (2012)
[10] Stelian, C. Calibration of a Lorentz force flowmeter by using numerical modeling. Flow Measurement and Instrumentation, 33, 36-44 (2013)
[11] Wang, X., Kolesnikov, Y., and Thess, A. Numerical calibration of a Lorentz force flowmeter. Measurement Science and Technology, 23, 045005 (2012)
[12] Hunt, J. C. R. Magnetohydrodynamic flow in rectangular ducts. Journal of Fluid Mechanics, 3, 37-62 (1971)
[13] COMSOL, A. B. The COMSOL Multiphysics Reference Guide, COMSOL Office, Sweden (2008)
[14] Stelian, C., Alferenok, A., Ljdtke, U., Kolesnikov, Y., and Thess, A. Optimization of a Lorentz force flowmeter by using the numerical modeling. Magnetohydrodynamics, 47(3), 273-282 (2011)
[15] Pozrikidis, C. Fluid Dynamics: Theory, Computation and Numerical Simulation, Springer, New York (2009)

Influence of velocity profile on calibration function ofLorentz force flowmeter

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