Abstract
Three-dimensional (3D) particle tracking is a challenging task in dense granular systems. Magnetic particle tracking has been developed in recent years to reconstruct a tracer’s trajectory in granular systems. The method can be low-cost, compact, and flexible. In this work we applied a Hall sensor array method to track the trajectories of a magnetic intruder particle in a 3D granular bed in the centrifuge of the Chinese Space Station (CSS). We present a developed algorithm. By placing sensors in an array in a same plane, our algorithm can exclude the interference of varying external field. The method’s static accuracy can reach 0.02 cm, and the maximum deviation of our measurement from a known path is also checked to be 0.02 cm. On CSS, two independent sensor arrays are used to cross-check the accuracy of the method. The two measured trajectories are well overlapped. This confirms the method’s reliability and robustness of tracking an intruder in a dense granular bed.
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Data Availability
The datasets generated during the current study are available from the corresponding author on reasonable request.
References
Andò, E., Hall, S.A., Viggiani, G., Desrues, J., Bésuelle, P.: Grain-scale experimental investigation of localised deformation in sand: a discrete particle tracking approach. Acta Geotech. 7, 1–13 (2012)
Bokkers, G., Sint Annaland, M., Kuipers, J.: Mixing and segregation in a bidisperse gas-solid fluidised bed: a numerical and experimental study. Powder Technol. 140(3), 176–186 (2004)
Buist, K.A., Gaag, A.C., Deen, N.G., Kuipers, J.A.: Improved magnetic particle tracking technique in dense gas fluidized beds. AIChE J. 60(9), 3133–3142 (2014)
Buist, K., Van Erdewijk, T., Deen, N., Kuipers, J.: Determination and comparison of rotational velocity in a pseudo 2-d fluidized bed using magnetic particle tracking and discrete particle modeling. AIChE J. 61(10), 3198–3207 (2015)
Buist, K.A., Jayaprakash, P., Kuipers, J., Deen, N.G., Padding, J.T.: Magnetic particle tracking for nonspherical particles in a cylindrical fluidized bed. AIChE J. 63(12), 5335–5342 (2017)
Hall, S.A., Muir Wood, D., Ibraim, E., Viggiani, G.: Localised deformation patterning in 2D granular materials revealed by digital image correlation. Granul. Matter 12, 1–14 (2010)
Hu, C., Meng, M.Q.-H., Mandal, M.: A linear algorithm for tracing magnet position and orientation by using three-axis magnetic sensors. IEEE Trans. Magn. 43(12), 4096–4101 (2007)
Idakiev, V., Mörl, L.: How to measure the particle translation and rotation in a spouted and fluidized bed. J. Chem. Technol. Metall. 48(5), 445–450 (2013)
Karlsson, S., Björn, I.N., Folestad, S., Rasmuson, A.: Measurement of the particle movement in the fountain region of a Wurster type bed. Powder Technol. 165(1), 22–29 (2006)
Levenberg, K.: A method for the solution of certain non-linear problems in least squares. Q. Appl. Math. 2(2), 164–168 (1944)
Link, J.M.: Development and validation of a discrete particle model of a spout-fluid bed granulator. Ph.D. Thesis, University of Twente, Netherlands (2006)
Link, J., Zeilstra, C., Deen, N., Kuipers, H.: Validation of a discrete particle model in a 2D spout-fluid bed using non-intrusive optical measuring techniques. Can. J. Chem. Eng. 82(1), 30–36 (2004)
Liu, G.-Q., Li, S.-Q., Zhao, X.-L., Yao, Q.: Experimental studies of particle flow dynamics in a two-dimensional spouted bed. Chem. Eng. Sci. 63(4), 1131–1141 (2008)
Marquardt, D.W.: An algorithm for least-squares estimation of nonlinear parameters. SIAM J. Appl. Math. 11(2), 431–441 (1963)
Marston, J.O., Thoroddsen, S.T.: Investigation of granular impact using positron emission particle tracking. Powder Technol. 274, 284–288 (2015)
Mema, I., Buist, K.A., Kuipers, J., Padding, J.T.: Fluidization of spherical versus elongated particles: Experimental investigation using magnetic particle tracking. AIChE J. 66(4), 16895 (2020)
Mohs, G., Gryczka, O., Heinrich, S., Mörl, L.: Magnetic monitoring of a single particle in a prismatic spouted bed. Chem. Eng. Sci. 64(23), 4811–4825 (2009)
Mosorov, V., Sankowski, D., Dyakowski, T., et al.: The ‘best-correlated pixels’ method for solid mass flow measurements using electrical capacitance tomography. Meas. Sci. Technol. 13(12), 1810 (2002)
Müller, C.R., Holland, D.J., Sederman, A.J., Mantle, M.D., Gladden, L.F., Davidson, J.: Magnetic resonance imaging of fluidized beds. Powder Technol. 183(1), 53–62 (2008a)
Müller, C., Davidson, J., Dennis, J., Fennell, P., Gladden, L., Hayhurst, A., Mantle, M., Rees, A., Sederman, A.: Oscillations in gas-fluidized beds: Ultra-fast magnetic resonance imaging and pressure sensor measurements. Powder Technol. 177(2), 87–98 (2007)
Müller, C.R., Davidson, J.F., Dennis, J.S., Fennell, P., Gladden, L.F., Hayhurst, A.N., Mantle, M.D., Rees, A., Sederman, A.J.: Real-time measurement of bubbling phenomena in a three-dimensional gas-fluidized bed using ultrafast magnetic resonance imaging. Phys. Rev. Lett. 96(15), 154504 (2006)
Müller, C.R., Holland, D.J., Sederman, A.J., Scott, S.A., Dennis, J.S., Gladden, L.F.: Granular temperature: comparison of magnetic resonance measurements with discrete element model simulations. Powder Technol. 184(2), 241–253 (2008b)
Niedostatkiewicz, M., Tejchman, J., Chaniecki, Z., Grudzień, K.: Determination of bulk solid concentration changes during granular flow in a model silo with ECT sensors. Chem. Eng. Sci. 64(1), 20–30 (2009)
Ott, F., Herminghaus, S., Huang, K.: Radar for tracer particles. Rev. Sci. Instrum. 88(5), 051801 (2017). https://doi.org/10.1063/1.4982942
Parker, D.: Positron emission particle tracking and its application to granular media. Rev. Sci. Instrum. 88(5), 051803 (2017)
Ren, X.-H., Stapf, S., Blümich, B.: Magnetic resonance visualisation of flow and pore structure in packed beds with low aspect ratio. Chem. Eng. Technol. 28(2), 219–225 (2005)
Schlageter, V., Besse, P.-A., Popovic, R., Kucera, P.: Tracking system with five degrees of freedom using a 2D-array of hall sensors and a permanent magnet. Sens. Actuator A-Phys. 92(1–3), 37–42 (2001)
Schlageter, V., Drljaca, P., Popovic, R.S., Kučera, P.: A magnetic tracking system based on highly sensitive integrated hall sensors. JSME Int. J. Ser. C Mech. Syst. Mach. Elem. Manuf. 45(4), 967–973 (2002)
Schröter, M., Lyv, C., Huang, J., Huang, K.: Challenges of ‘imaging’ particulate materials in three dimensions. Pap. Phys. 14, 140015–140015 (2022)
Song, S., Li, B., Qiao, W., Hu, C., Ren, H., Yu, H., Zhang, Q., Meng, M.Q.-H., Xu, G.: 6-D magnetic localization and orientation method for an annular magnet based on a closed-form analytical model. IEEE Trans. Magn. 50(9), 1–11 (2014)
Tao, X., Tu, X., Wu, H.: A new development in magnetic particle tracking technology and its application in a sheared dense granular flow. Rev. Sci. Instrum. 90(6), 065116 (2019)
Vergne, C., Inácio, J., Quirin, T., Sargent, D., Madec, M., Pascal, J.: Tracking of a magnetically navigated millirobot with a magnetic field camera. IEEE Sens. J. 1 (2023). https://doi.org/10.1109/JSEN.2023.3264496
Wang, C., Lv, Z., Li, D.: Experimental study on gas-solids flows in a circulating fluidised bed using electrical capacitance tomography. Powder Technol. 185(2), 144–151 (2008)
Wildenberg, S., Jia, X., Léopoldès, J., Tourin, A.: Ultrasonic tracking of a sinking ball in a vibrated dense granular suspension. Sci. Rep. 9(1), 5460 (2019)
Windows-Yule, C., Seville, J., Ingram, A., Parker, D.: Positron emission particle tracking of granular flows. Annu. Rev. Chem. Biomol. Eng. 11, 367–396 (2020)
Wong, Y.S.: Particle motion in relatively thin fluidised bed models. Chem. Eng. Sci. 61(18), 6234–6238 (2006)
Funding
This study is supported by the Space Application System of China Manned Space Program YYWT-0601-EXP-20, the ESA-CMSA/CSU Space Scince and Utilization collaboration program, and the National Key R&D Program of China (2022YFF0503504). K.C. and T.L. would like to thank the support by Wenzhou Institute, University of Chinese Academy of Sciences.
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Ke Cheng developed the algorithm and processed the experimental data. Meiying Hou wrote the draft and is responsible for the research. Tuo Li and Mingcheng Yang participate in the discussion. Zhihong QIao, Peng Liu, Jianzhi Ding, Wei Sun, Yuman Li, Fade Gao and Xiang Li are responsible for the instrumentation.
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Cheng, K., Hou, M., Li, T. et al. Tracking the Motion of an Intruder Particle in a Three-Dimensional Granular Bed On-board the Chinese Space Station. Microgravity Sci. Technol. 36, 15 (2024). https://doi.org/10.1007/s12217-024-10102-2
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DOI: https://doi.org/10.1007/s12217-024-10102-2