Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Statistical Properties of a Granular Gas Fluidized by Turbulent Air Wakes

  • Conference paper
  • First Online:
Traffic and Granular Flow 2019

Abstract

We perform experiments with a granular system that consists of a collection of identical hollow spheres (ping-pong balls). Particles rest on a horizontal metallic grid and are confined within a circular region. Fluidization is achieved by means of a turbulent air current coming from below. Air flow is adjusted so that the balls do not elevate over the grid, as an approach to 2D dynamics. With a high-speed camera, we take images of the system. From these images we can infer horizontal particle positions and velocities by means of particle-tracking algorithms. With the obtained data we analyze: (a) the systematic measurement error in the determination of positions and velocities from our digital images; (b) the degree of homogeneity achieved in our experiments (which depends on possible deviations of the grid from the horizontal and on the homogeneity of turbulent air wakes). Interestingly, we have observed evidences of crystallization at high enough densities.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. L. Bragg, J.F. Nye, A dynamical model of a crystal structure. Proc. R. Soc. Lond. A 190, 474 (1947)

    Article  ADS  Google Scholar 

  2. B.G. Eaton, R.G. Finstad, P.D. Lane, Kinetic theory simulator for laboratory use. Am. J. Phys 47, 132 (1979)

    Article  ADS  Google Scholar 

  3. J.L. Finney, Random packings and the structure of simple liquids. I. The geometry of random close packing. Proc. R. Soc. Lond. A 319, 479 (1970)

    Google Scholar 

  4. J. Friedel, Dislocations (Pergamon, New York, 1964)

    MATH  Google Scholar 

  5. R.P. Ojha, P.A. Lemieux, P.K. Dixon, A.J. Liu, D.J. Durian, Statistical mechanics of a gas-fluidized particle. Nature 427, 521 (2004)

    Article  ADS  Google Scholar 

  6. M. Van Dyke, An Album of Fluid Motion (The Parabolic Press, Stanford, CA, USA, 1982)

    Google Scholar 

  7. J.A. Olafsen, J.S. Urbach, Clustering, order and collapse in a driven granular monolayer. Phys. Rev. Lett 4369–4372, 81 (1998)

    Google Scholar 

  8. Ametek: Phantom high speed. https://www.phantomhighspeed.com/products/cameras/veo

  9. F. Vega Reyes, A. Santos, G.M. Kremer, Role of roughness on the hydrodynamic homogeneous base state of inelastic spheres. Phys. Rev. E 89, 020,202(R) (2014)

    Google Scholar 

  10. OpenCV. https://opencv.org/

  11. D. Allan et al., soft-matter/trackpy: Trackpy v0.4.2 (2019). https://doi.org/10.5281/zenodo.3492186.

  12. J.C. Crocker, D.G. Grier, Methods of digital video microscopy for colloidal studies. J. Colloid Interface Sci. 179, 298–310 (1996)

    Article  ADS  Google Scholar 

  13. A.R. Abate, D.J. Durian, Approach to jamming in an air-fluidized granular bed. Phys. Rev. E 74(3), 1–12 (2006)

    Article  Google Scholar 

  14. Y. Lanoiselée, G. Briand, O. Dauchot, D.S. Grebenkov, Statistical analysis of random trajectories of vibrated disks: towards a macroscopic realization of Brownian motion. Phys. Rev. E 98(6), 062,112 (2018)

    Google Scholar 

  15. A.J. Berglund, Statistics of camera-based single-particle tracking. Phys. Rev. E 82(1), 1–8 (2010)

    Article  Google Scholar 

  16. R.J. Ober, S. Ram, E.S. Ward, Localization Accuracy in Single-Molecule Microscopy. Biophys. J. (2004)

    Google Scholar 

  17. R.E. Thompson, D.R. Larson, W.W. Webb, Precise nanometer localization analysis for individual fluorescent probes. Biophys. J. (2002)

    Google Scholar 

  18. T. Savin, P.S. Doyle, Static and dynamic errors in particle tracking microrheology. Biophy. J. 88(1), 623–638 (2005)

    Article  ADS  Google Scholar 

  19. C. Scholz, T. Pöschel, Velocity distribution of a homogeneously driven two-dimensional granular gas. Phys. Rev. Lett. (2017)

    Google Scholar 

  20. J.S. Olafsen, J.S. Urbach, Velocity distributions and density fluctuations in a granular gas. Phys. Rev. E 60, R2468 (1999)

    Article  ADS  Google Scholar 

  21. M.A. López-Castaño, J.F. González-Saavedra, A. Rodríguez-Rivas, E. Abad, S.B. Yuste, F. Vega Reyes, Diffusive properties of a system of macroscopic particles thermalized by turbulent air wakes (2019). In preparation

    Google Scholar 

  22. R.V. Hogg, A.T. Craig, Introduction to Mathematical Statistics, 6th edn. (Macmillan Publishing Co. Inc., New York, 1989)

    MATH  Google Scholar 

Download references

Acknowledgements

The authors thank J. S. Urbach, E. Abad and S. B. Yuste for fruitful discussions. We acknowledge funding from the Government of Spain through project No. FIS2016-76359-P and from the regional Extremadura Government through projects No. GR18079 & IB16087, both partially funded by the ERDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Miguel A. López-Castaño .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

López-Castaño, M.A., González-Saavedra, J.F., Rodríguez-Rivas, Á., Vega Reyes, F. (2020). Statistical Properties of a Granular Gas Fluidized by Turbulent Air Wakes. In: Zuriguel, I., Garcimartin, A., Cruz, R. (eds) Traffic and Granular Flow 2019. Springer Proceedings in Physics, vol 252. Springer, Cham. https://doi.org/10.1007/978-3-030-55973-1_49

Download citation

Publish with us

Policies and ethics