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Effects of particle size and region width on the mixing and dispersion of pebbles in two-region pebble bed

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Abstract

Granular systems and their mixing processes are widely used in various industries. The effects of size ratio and region width on the mixing and dispersion of pebbles in the two-region pebble bed are studied by discrete element method (DEM). The particle-scale mixing index (PSMI) and mixing entropy are used to quantify the particle mixing process. A similarity of mixing under different discharge rates is found after a stable two-region distribution structure is established. From qualitative observation and quantitative analysis, the mixing region is complicated in shape for the cases with greater particle size ratios. There is an increasing tendency of PSMI for two-region pebble bed when the region ratio or size ratio rises. The size ratio has greater effects on the mixing and dispersion of pebble than the region ratio, since the occupied volumes and entropies in the mixing region in the relatively steady state are more strongly affected by the size ratio rather than by the region ratio. As particles in the side regions can be easily driven by large ones, the stagnant region will decrease greatly when large size particles flow in the central region.

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References

  1. Ai, J., Chen, J.-F., Rotter, J.M., Ooi, J.Y.: Assessment of rolling resistance models in discrete element simulations. Powder Technol. 206, 269–282 (2011)

    Article  Google Scholar 

  2. Asmar, B.N., Langston, P.A., Matchett, A.J.: A generalised mixing index in distinct element method simulation of vibrated particulate beds. Granular Matter 4, 129–138 (2002)

    Article  MATH  Google Scholar 

  3. Chand, R., Khaskheli, M.A., Qadir, A., Ge, B., Shi, Q.: Discrete particle simulation of radial segregation in horizontally rotating drum: effects of drum-length and non-rotating end-plates. Physica A 391, 4590–4596 (2012)

    Article  ADS  Google Scholar 

  4. Chandratilleke, G.R., Yu, A.B., Bridgwater, J.: A DEM study of the mixing of particles induced by a flat blade. Chem. Eng. Sci. 79, 54–74 (2012)

  5. Chandratilleke, G.R., Yu, A.B., Bridgwater, J., Shinohara, K.: A particle-scale index in the quantification of mixing of particles. AIChE J. 58, 1099–1118 (2012)

  6. Cleary, P.W., Sinnott, M.D.: Assessing mixing characteristics of particle-mixing and granulation devices. Particuology 6, 419–444 (2008)

    Article  Google Scholar 

  7. Cundall, P.A.S., Strack, O.D.L.: A discrete numerical model for granular assemblies. Geotechnique 29, 47–65 (1979)

    Article  Google Scholar 

  8. Foroutan-pour, K., Dutilleul, P., Smith, D.L.: Advances in the implementation of the box-counting method of fractal dimension estimation. Appl. Math. Comput. 105, 195–210 (1999)

    MATH  Google Scholar 

  9. Gu, Z., Chen, J.J.J.: An analysis of the entropy of mixing for granular materials. Powder Technol. 266, 90–95 (2014)

    Article  Google Scholar 

  10. Gui, N., Fan, J.R., Cen, K.F.: A macroscopic and microscopic study of particle mixing in a rotating tumbler. Chem. Eng. Sci. 65, 3034–3041 (2010)

    Article  Google Scholar 

  11. Gui, N., Fan, J.R.: Numerical study of particle mixing in bubbling fluidized beds based on fractal and entropy analysis. Chem. Eng. Sci. 66(12), 2788–2797 (2011)

    Article  Google Scholar 

  12. Gui, N., Yang, X.T., Tu, J.Y., Jiang, S.Y.: Numerical simulation and analysis of particle mixing and conduction in wavy drums. Dry. Technol. 34(1), 91–104 (2016)

    Article  Google Scholar 

  13. Halidan, M., Chandratilleke, G.R., Chan, S.L.I., Yu, A.B., Bridgwater, J.: Prediction of the mixing behaviour of binary mixtures of particles in a bladed mixer. Chem. Eng. Sci. 120, 37–48 (2014)

    Article  Google Scholar 

  14. International, Atomic Energy Agency, Current Status and Future Development of Modular High Temperature Gas Cooled Reactor Technology, IAEA-TEDOC-1223, Vienna (2001)

  15. Iwashita, K., Oda, M.: Rolling resistance at contacts in simulation of shear band development by DEM. J. Eng. Mech. 124, 285–292 (1998)

    Article  Google Scholar 

  16. Jiang, M., Zhao, Y., Liu, G., Zheng, J.: Enhancing mixing of particles by baffles in a rotating drum mixer. Particuology 9, 270–278 (2011)

    Article  Google Scholar 

  17. Jiang, S.Y., Yang, X.T., Tang, Z.W., Wang, W.J., Tu, J.Y., Liu, Z.Y., Li, J.: Experimental and numerical validation of a two-region-designed pebble bed reactor with dynamic core. Nucl. Eng. Des. 246, 277–285 (2012)

    Article  Google Scholar 

  18. Kloss, C., Goniva, C., Hager, A., Amberger, S., Pirker, S.: Models, algorithms and validation for opensource DEM and CFD-DEM. Prog. Comput. Fluid Dyn. 12, 140–152 (2012)

    Article  MathSciNet  Google Scholar 

  19. Liu, P.Y., Yang, R.Y., Yu, A.B.: DEM study of the transverse mixing of wet particles in rotating drums. Chem. Eng. Sci. 86, 99–107 (2013)

    Article  Google Scholar 

  20. Marigo, M., Cairns, D.L., Davies, M., Ingram, A., Stitt, E.H.: A numerical comparison of mixing efficiencies of solids in a cylindrical vessel subject to a range of motions. Powder Technol. 217, 540–547 (2012)

    Article  Google Scholar 

  21. Siiriä, S., Yliruusi, J.: Determining a value for mixing: mixing degree. Powder Technol. 196, 309–317 (2009)

    Article  Google Scholar 

  22. Siraj, M.S., Radl, S., Glasser, B.J., Khinast, J.G.: Effect of blade angle and particle size on powder mixing performance in a rectangular box. Powder Technol. 211, 100–113 (2011)

    Article  Google Scholar 

  23. Stewart, R.L., Bridgwater, J., Zhou, Y.C., Yu, A.B.: Simulated and measured flow of granules in a bladed mixer—a detailed comparison. Chem. Eng. Sci. 56, 5457–5471 (2001)

    Article  Google Scholar 

  24. Tian, F., Zhang, M., Fan, H., Gu, M., Wang, L., Qi, Y.: Numerical study on microscopic mixing characteristics in fluidized beds via DEM. Fuel Process. Technol. 88, 187–198 (2007)

    Article  Google Scholar 

  25. Yang, X., Gui, N., Tu, J., Jiang, S.: Numerical analysis of granular flows in a silo bed on flow regime characterization. PloS One 10, e0119155 (2015)

    Article  Google Scholar 

  26. Yang, X., Hu, W., Jiang, S.: Experimental investigation on feasibility of two-region-designed pebble-bed high-temperature gas-cooled reactor. J. Nucl. Sci. Technol. 46, 374–381 (2009)

    Article  Google Scholar 

  27. Zhang, Z., Sun, Y.: Economic potential of modular reactor nuclear power plants based on the Chinese HTR-PM project. Nucl. Eng. Des. 237, 2265–2274 (2007)

    Article  Google Scholar 

  28. Zhang, Z., Wu, Z., Sun, Y., Li, F.: Design aspects of the Chinese modular high-temperature gas-cooled reactor HTR-PM. Nucl. Eng. Des. 236, 485–490 (2006)

    Article  Google Scholar 

  29. Zhou, Z., Li, J., Zhou, J., Li, S., Feng, J.: Enhancing mixing of cohesive particles by baffles in a rotary drum. Particuology 25, 104–110 (2015)

    Article  Google Scholar 

Download references

Acknowledgments

The authors are grateful for the support of this research by the National Natural Science Foundations of China (Grant No. 51576211), the Science Fund for Creative Research Groups of National Natural Science Foundation of China (Grant No. 51321002), and the Foundation for the Author of National Excellent Doctoral Dissertation of PR China (Grant No. 201438). This work is also supported financially by China Scholarship Council (CSC) under the Grant No. 201506210365.

Conflict of interest

The authors declare that there is no conflict of interests regarding the publication of this article. Publication has been approved by all authors. None of the material presented in the paper is submitted or published elsewhere, and the paper does not contain any information with restricted access or proprietary content.

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Correspondence to Shengyao Jiang.

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Wu, H., Gui, N., Yang, X. et al. Effects of particle size and region width on the mixing and dispersion of pebbles in two-region pebble bed. Granular Matter 18, 76 (2016). https://doi.org/10.1007/s10035-016-0672-7

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  • DOI: https://doi.org/10.1007/s10035-016-0672-7

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