An analytic model of wind-blown sand transport

  • Conference paper
Aeolian Grain Transport 1

Part of the book series: Acta Mechanica Supplementum ((ACTA MECH.SUPP.,volume 1))

Summary

An analytic steady-state model of wind-blown sand transport is developed. The basic physical ideas are as in the current numerical models. In order to obtain explicit analytic expressions, approximations are made in all of the three subprocesses constituting the model: the trajectory model, the wind modification model, and the grain-bed collision model. Explicit formulae are derived for the transport rate and for the flux of grains from the bed into the air. The transport rate is found to be an approximately cubic function of the friction velocity. A number of equilibrium equations are important in the theory developed in the paper. These equations are derived and thoroughly discussed in the setting of a general model of aeolian sand transport and are generally applicable. Possible refinements of the theory are briefly discussed.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /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
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 42.79
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
EUR 53.49
Price includes VAT (Germany)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Anderson, R. S.: Sediment transport by wind: saltation, suspension, erosion and ripples. Ph.D. Thesis, University of Washington 1986.

    Google Scholar 

  2. Anderson, R. S.: Eolian sediment transport as a stochastic process: the effect of a fluctuating wind on particle trajectories. J. Geol. 95, 497–512 (1987).

    Article  Google Scholar 

  3. Anderson, R. S., Haff, P. K.: Simulation of eolian saltation. Science 241, 820–823 (1988).

    Article  Google Scholar 

  4. Anderson, R. S., Haff, P. K.: Wind modification and bed response during saltation of sand in air (this volume).

    Google Scholar 

  5. Anderson, R. S., Sørensen, M., Willetts, B. B.: A review of recent progress in our understanding of aeolian sediment transport (this volume).

    Google Scholar 

  6. Bagnold, R. A.: The physics of blown sand and desert dunes. London: Methuen 1941.

    Google Scholar 

  7. Jensen, J. L., Sørensen, M.: Estimation of some aeolian saltation transport parameters: a reanalysis of Williams’ data. Sedimentology 33, 547–558 (1986).

    Article  Google Scholar 

  8. McEwan, I. K., Willetts, B. B.: Numerical model of the saltation cloud (this volume).

    Google Scholar 

  9. Mitha, S., Tran, M. Q., Werner, B. T., Haff, P. K.: The grain-bed impact process in aeolian saltation.Acta Mech. 63, 267–278 (1986).

    Article  Google Scholar 

  10. Nalpanis, P.: Saltating and suspended particles over flat and slo** surfaces. II. Experiments and numerical simulation. In: Barndorff-Nielsen, O. E. et al. (eds.): International Workshop on the Physics of Blown Sand, vol. 1, pp. 37–66 (1985).

    Google Scholar 

  11. Owen, P. R.: Saltation of uniform grains in air. J. Fluid Mech. 20, 225–242 (1964).

    Article  MATH  Google Scholar 

  12. Owen, P. R.: The physics of sand movement. Lecture Notes, Workshop on Physics of Desertification, Trieste 1980.

    Google Scholar 

  13. Rasmussen, K. R., Mikkelsen, H. E.: Wind tunnel observations of aeolian transport rates (this volume).

    Google Scholar 

  14. Rasmussen, K. R., Sørensen, M., Willetts, B. B.: Measurement of saltation and wind strength on beaches. In: Barndorff-Nielsen, O. E. et al. (eds.): International Workshop on the Physics of Blown Sand, vol. 2, pp. 301–325 (1985).

    Google Scholar 

  15. Sørensen, M.: Estimation of some aeolian saltation transport paiameters from transport rate profiles. In: Barndorff-Nielsen, O. E. et al. (eds.): International Workshop on the Physics of Blown Sand, vol. 1, pp. 141–190 (1985).

    Google Scholar 

  16. Ungar, J. E., Haff, P. K.: Steady state saltation in air. Sedimentology 34, 289–299 (1987).

    Article  Google Scholar 

  17. Werner, B. T.: A steady-state model of wind-blown sand transport. J. Geol. 98, 1–17 (1990).

    Article  Google Scholar 

  18. White, B. R., Schulz, J. C.: Magnus effect in saltation. J. Fluid Mech. 81, 497–512 (1977).

    Article  Google Scholar 

  19. Willetts, B. B., Rice, M. A.: Collision in aeolian transport: the saltation/creep link. In: Nickling, W. (ed.): Aeolian geomorphology. Boston: Allen and Unwin, pp. 1–17 (1986).

    Google Scholar 

  20. Willetts, B. B., Rice, M. A.: Particle dislodgement from a flat sand bed by wind. Earth Surf. Proc. and Land Forms 13, 717–728 (1988).

    Article  Google Scholar 

  21. Williams, S. H.: A comparative planetological study of particle speed and concentration during aeolian saltation. Ph. D. Thesis, Arizona State University 1987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Wien

About this paper

Cite this paper

Sørensen, M. (1991). An analytic model of wind-blown sand transport. In: Barndorff-Nielsen, O.E., Willetts, B.B. (eds) Aeolian Grain Transport 1. Acta Mechanica Supplementum, vol 1. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6706-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-6706-9_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82269-2

  • Online ISBN: 978-3-7091-6706-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Navigation