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Influence of velocity profile on calibration function of Lorentz force flowmeter

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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.

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References

  1. Davidson, P. A. An Introduction to Magnetohydrodynamics, Cambridge University Press, Cambridge (2001)

    Book  MATH  Google Scholar 

  2. Shercliff, J. The Theory of Electromagnetic Flow Measurements, Cambridge University Press, Cambridge (1962)

    Google Scholar 

  3. Thess, A., Votyakov, E. V., and Kolesnikov, Y. Lorentz force velocimetry. Physical Review Letters, 96, 164501 (2006)

    Article  Google Scholar 

  4. Thess, A., Votyakov, E. V., Knaepen, B., and Zikanov, O. Theory of the Lorentz force flowmeter. New Journal of Physics, 9, 299 (2007)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  6. Priede, J., Buchenau, D., and Gerbeth, G. Single-magnet rotary flowmeter for liquid metals. Journal of Applied Physics, 110, 034512 (2011)

    Article  Google Scholar 

  7. Minchenya, V., Karcher, C., Kolesnikov, Y., and Thess, A. Dry calibration of the Lorentz force flowmeter. Magnetohydrodynamics, 45(4), 569–578 (2009)

    Google Scholar 

  8. Stelian, C. Analysis of turbulent flow in closed and open channels with application in electromagnetic velocimetry. Magnetohydrodynamics, 48(4), 503–515 (2012)

    Google Scholar 

  9. Minchenya, V., Karcher, C., Kolesnikov, Y., and Thess, A. Calibration of the Lorentz force flowmeter. Flow Measurement and Instrumentation, 22, 242–247 (2012)

    Article  Google Scholar 

  10. Stelian, C. Calibration of a Lorentz force flowmeter by using numerical modeling. Flow Measurement and Instrumentation, 33, 36–44 (2013)

    Article  Google Scholar 

  11. Wang, X., Kolesnikov, Y., and Thess, A. Numerical calibration of a Lorentz force flowmeter. Measurement Science and Technology, 23, 045005 (2012)

    Article  Google Scholar 

  12. Hunt, J. C. R. Magnetohydrodynamic flow in rectangular ducts. Journal of Fluid Mechanics, 3, 37–62 (1971)

    Article  Google Scholar 

  13. COMSOL, A. B. The COMSOL Multiphysics Reference Guide, COMSOL Office, Sweden (2008)

    Google Scholar 

  14. Stelian, C., Alferenok, A., Lüdtke, U., Kolesnikov, Y., and Thess, A. Optimization of a Lorentz force flowmeter by using the numerical modeling. Magnetohydrodynamics, 47(3), 273–282 (2011)

    Google Scholar 

  15. Pozrikidis, C. Fluid Dynamics: Theory, Computation and Numerical Simulation, Springer, New York (2009)

    Book  Google Scholar 

Download references

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Correspondence to C. Stelian.

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Project supported by the German Research Foundation (Deutsche Forschungsgemeinschaft)

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Stelian, C., Yu, Y., Li, Bw. et al. Influence of velocity profile on calibration function of Lorentz force flowmeter. Appl. Math. Mech.-Engl. Ed. 35, 993–1004 (2014). https://doi.org/10.1007/s10483-014-1844-7

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  • DOI: https://doi.org/10.1007/s10483-014-1844-7

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2010 Mathematics Subject Classification

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