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Monitoring three-dimensional packings in microgravity

Abstract

We present results from experiments with granular packings in three dimensions in microgravity as realized on parabolic flights. Two different techniques are employed to monitor the inside of the packings during compaction: (1) X-ray radiography is used to measure in transmission the integrated fluctuations of particle positions. (2) Stress-birefringence in three dimensions is applied to visualize the stresses inside the packing. The particle motions below the transition into an arrested packing are found to produce a well agitated state. At the transition, the particles lose their energy quite rapidly and form a stress network. With both methods, non-arrested particles (rattlers) can be identified. In particular, it is found that rattlers inside the arrested packing can be excited to appreciable dynamics by the rest-accelerations (g-jitter) during a parabolic flight without destroying the packings. At low rates of compaction, a regime of slow granular cooling is identified. The slow cooling extends over several seconds, is described well by a linear law, and terminates in a rapid final collapse of dynamics before complete arrest of the packing.

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References

  1. 1.

    Falcon, E., Wunenburger, R., Evesque, R., Fauve, R., Chabot, C., Garrabos, Y., Beysens, D.: Cluster formation in a granular medium fluidized by vibrations in low gravity. Phys. Rev. Lett. 83, 440 (1999)

  2. 2.

    Harth, K., Kornek, U., Trittel, T., Strachauer, U., Höme, S., Will, K., Stannarius, R.: Granular gases of rod-shaped grains in microgravity. Phys. Rev. Lett. 110, 144102 (2013)

  3. 3.

    Sack, A., Heckel, M., Kollmer, J.E., Zimber, F., Pöschel, T.: 3. Energy dissipation in driven granular matter in the absence of gravity. Phys. Rev. Lett. 111, 018001 (2013)

  4. 4.

    Murdoch, N., Rozitis, B., Nordstrom, K., Green, S.F., Michel, P., de Lophem, T.-L., Losert, W.: Granular convection in microgravity. Phys. Rev. Lett. 110, 018307 (2013a)

  5. 5.

    Murdoch, N., Rozitis, B., Green, S.F., de Lophem, T.-L., Michel, P., Losert, W.: Granul. Matter 15, 129 (2013b)

  6. 6.

    Khosropour, R., Zirinsky, J., Pak, J., Behringer, R.P.: Convection and size segregation in a Couette flow of granular material. Phys. Rev. E 56, 4467 (1997)

  7. 7.

    Baxter, G.W., Behringer, R.P., Fagert, T., Johnson, G.A.: Pattern formation in flowing sand. Phys. Rev. Lett. 62, 2815 (1989)

  8. 8.

    Grohse, E.W.: Analysis of gas-fluidized solid systems by x-ray absorption. AIChE J. 1(3), 358–365

  9. 9.

    Rowe, P.N., Everett, D.J.: Fluidized bed bubbles viewed by X-rays. Part 2. Transition from two- to three-dimensions of undisturbed bubbles. Trans. I. Chem. E 50, 42–48 (1972)

  10. 10.

    Yates, J., Cheesman, D., Lettieri, P., Newton, D.: X-ray analysis of fluidized beds and other multiphase systems. KONA 20, 133–143 (2002)

  11. 11.

    Aste, T.: Volume fluctuations and geometrical constraints in granular packs. Phys. Rev. Lett. 96, 018002 (2006)

  12. 12.

    Jerkins, M., Schröter, M., Swinney, H.L., Senden, T.J., Saadatfar, M., Aste, T.: Onset of mechanical stability in random packings of frictional spheres. Phys. Rev. Lett. 101, 018301 (2008)

  13. 13.

    Son, R., Perez, J.A., Voth, G.A.: Experimental measurements of the collapse of a two-dimensional granular gas under gravity. Phys. Rev. E. 78, 041302 (2008)

  14. 14.

    Kuske, A., Robertson, G.: Photoelastic Stress Analysis. Wiley, London (1974)

  15. 15.

    Liu, C., Nagel, S.R., Schecter, D.A., Coppersmith, S.N., Majumdar, S., Narayan, O., Witten, T.A.: Force fluctuations in bead packs. Science 269, 513–515 (1995)

  16. 16.

    Wood, D.M., Leśniewska, D.: Stresses in granular materials. Granul. Matter 13, 395–415 (2011)

  17. 17.

    Howell, D., Behringer, R.P., Veje, C.: Stress fluctuations in a 2D granular Couette experiment: a continuous transition. Phys. Rev. Lett. 82, 5241 (1999)

  18. 18.

    Geng, J., Howell, D., Longhi, E., Behringer, R.P., Reydellet, G., Vanel, L., Clément, E., Luding, S.: Footprints in sand: the response of a granular material to local perturbations. Phys. Rev. Lett. 87, 035506 (2001)

  19. 19.

    Hartley, R.R., Behringer, R.P.: Logarithmic rate dependence of force networks in sheared granular materials. Nature 421, 928–931 (2003)

  20. 20.

    Yu, P., Behringer, R.P.: Granular friction: a slider experiment. Chaos 15, 041102 (2005)

  21. 21.

    Owens, E.T., Daniels, K.E.: Sound propagation and force chains in granular materials. Euro. Lett. 94, 54005 (2011)

  22. 22.

    Majmudar, T.S., Sperl, M., Luding, S., Behringer, R.P.: Jamming transition in granular systems. Phys. Rev. Lett. 98, 058001 (2007)

  23. 23.

    Behringer, R.P., Daniels, K.E., Majmudar, T.S., Sperl, M.: Fluctuations, correlations and transitions in granular materials: statistical mechanics for a non-conventional system. Philos. Trans. R. Soc. A 366, 493–504 (2008)

  24. 24.

    Zhang, J., Behringer, R. P., Majmudar, T. S., Sperl, M.: Powders Grains 1145 (2009)

  25. 25.

    Majmudar, T.S., Behringer, R.P.: Contact force measurements and stress-induced anisotropy in granular materials. Nature 435, 1079–1082 (2005)

  26. 26.

    Utter, B., Behringer, R.P.: Experimental measures of affine and nonaffine deformation in granular shear. Phys. Rev. Lett. 100, 208302 (2008)

  27. 27.

    Zhang, J., Majmudar, T.S., Sperl, M., Behringer, R.P.: Jamming for a 2D granular material. Soft Matter 6, 2982–2991 (2010)

  28. 28.

    Bi, D., Zhang, J., Chakraborty, B., Behringer, R.P.: Jamming by shear. Nature 480, 355–358 (2011)

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Acknowledgments

We acknowledge financial support by DFG FG1394 and BMWi 50WM0741 as well as technical assistance by D. Bräuer, F. Kargl, S. Klein, and T. Kornwebel. PY and MS want to thank especially warmly their advisor and tutor Bob Behringer for fruitful guidance over many years.

Author information

Correspondence to Matthias Sperl.

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Supplementary material 1 (MPG 565 KB)

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Yu, P., Frank-Richter, S., Börngen, A. et al. Monitoring three-dimensional packings in microgravity. Granular Matter 16, 165–173 (2014) doi:10.1007/s10035-013-0479-8

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Keywords

  • X-ray
  • Radiography
  • Stress-birefringence
  • Microgravity
  • Parabolic flight