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Sand particle lift-off velocity measurements and numerical simulation of mass flux distributions in a wind tunnel

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Abstract

Lift-off velocity of saltating sand particles in wind-blown sand located at 1.0 mm above the sand bed surface was measured using a phase Doppler particle analyzer in a wind tunnel. The results show that the probability distribution of lift-off velocity can be expressed as a lognormal function, while that of lift-off angle follows an exponential function. The probability distribution of lift-off angle conditioned for each lift-off velocity also follows an exponential function, with a slope that becomes steeper with increasing lift-off velocity. This implies that the probability distribution of lift-off velocity is strongly dependent on the lift-off angle. However, these lift-off parameters are generally treated as an independent joint probability distribution in the literature. Numerical simulations were carried out to investigate the effects of conditional versus independent joint probability distributions on the vertical sand mass flux distribution. The simulation results derived from the conditional joint probability distribution agree much better with experimental data than those from the independent ones. Thus, it is better to describe the lift-off velocity of saltating sand particles using the conditional joint probability distribution. These results improve our understanding of saltation processes in wind-blown sand.

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References

  • Anderson R S, Hallet B. 1986. Sediment transport by wind: toward a general model. The Geological Society of America Bulletin, 97(5): 523–535.

    Article  Google Scholar 

  • Anderson R S, Haff P K. 1988. Simulation of aeolian saltation. Science, 241(4867): 820–823.

    Article  Google Scholar 

  • Andreotti B. 2004. A two-species model of aeolian sand transport. Journal of Fluid Mechanics, 510: 47–70.

    Article  Google Scholar 

  • Bagnold R A. 1941. The Physics of Blown Sand and Desert Dunes. London: Methuen, 229.

    Google Scholar 

  • Bo T L, Zheng X J, Duan S Z, et al. 2013. Influence of sand grain diameter and wind velocity on lift-off velocities of sand particles. The European Physical Journal E, 36(5): 50.

    Article  Google Scholar 

  • Cheng H, Zou X Y, Zhang C L. 2006. Probability distribution functions for the initial liftoff velocities of saltating sand grains in air. Journal of Geophysical Research: Atmospheres, 111(D22): D22205.

    Article  Google Scholar 

  • Creyssels M, Dupont P, El Moctar A O, et al. 2009. Saltating particles in a turbulent boundary layer: experiment and theory. Journal of Fluid Mechanics, 625: 47–74.

    Article  Google Scholar 

  • Dong Z B, Liu X P, Li F, et al. 2002. Impact-entrainment relationship in a saltating cloud. Earth Surface Processes and Landforms, 27(6): 641–658.

    Article  Google Scholar 

  • Dong Z B, Liu X P, Wang H T, et al. 2003. The flux profile of a blowing sand cloud: a wind tunnel investigation. Geomorphology, 49(3–4): 219–230.

    Article  Google Scholar 

  • Dong Z B, Liu X P, Wang X M, et al. 2004. Experimental investigation of the velocity of a sand cloud blowing over a sandy surface. Earth Surface Processes and Landforms, 29(3): 343–358.

    Article  Google Scholar 

  • Feng D J, Li Z S, Ni J R. 2009. Launch velocity characteristics of non-uniform sand in aeolian saltation. Physica A: Statistical Mechanics and its Applications, 388(8): 1367–1374.

    Article  Google Scholar 

  • Haff P K, Anderson R S. 1993. Grain scale simulations of loose sedimentary beds: the example of grain-bed impacts in aeolian saltation. Sedimentology, 40(2): 175–198.

    Article  Google Scholar 

  • Ho T D, Valance A, Dupont P, et al. 2011. Scaling laws in aeolian sand transport. Physical Review Letters, 106(9): 094501.

    Article  Google Scholar 

  • Ho T D, Dupont P, El Moctar A O, et al. 2012. Particle velocity distribution in saltation transport. Physical Review. E Statistical, Nonlinear, and Soft Matter Physics, 85: 052301.

    Article  Google Scholar 

  • Ho T D, Valance A, Dupont P, et al. 2014. Aeolian sand transport: length and height distributions of saltation trajectories. Aeolian Research, 12: 65–74.

    Article  Google Scholar 

  • Kang L Q, Guo L J, Liu D Y. 2008a. Experimental investigation of particle velocity distributions in windblown sand movement. Science in China Series G: Physics, Mechanics and Astronomy, 51(8): 986–1000.

    Article  Google Scholar 

  • Kang L Q, Guo L J, Liu D Y. 2008b. Reconstructing the vertical distribution of the aeolian saltation mass flux based on the probability distribution of lift-off velocity. Geomorphology, 96(1–2): 1–15.

    Article  Google Scholar 

  • Kang L Q, Guo L J, Gu Z M, et al. 2008c. Wind tunnel experimental investigation of sand velocity in aeolian sand transport. Geomorphology, 97(3–4): 438–450.

    Article  Google Scholar 

  • Kok J F, Renno N O. 2009. A comprehensive numerical model of steady state saltation (COMSALT). Journal of Geophysical Research: Atmospheres, 114(D17): D17204.

    Article  Google Scholar 

  • Kok J F. 2010. Difference in the wind speeds required for initiation versus continuation of sand transport on mars: implications for dunes and dust storms. Physical Review Letters, 104(7): 074502.

    Article  Google Scholar 

  • McDonald R R, Anderson R S. 1995. Experimental verification of aeolian saltation and lee side deposition models. Sedimentology, 42(1): 39–56.

    Article  Google Scholar 

  • McEwan I K, Willetts B B, Rice M A. 1992. The grain/bed collision in sand transport by wind. Sedimentology, 39(6): 971–981.

    Article  Google Scholar 

  • Morsi S A, Alexande A J. 1972. An investigation of particle trajectories in two-phase flow systems. Journal of Fluid Mechanics, 55(2): 193–208.

    Article  Google Scholar 

  • Nalpanis P, Hunt J C R, Barrett C F. 1993. Saltating particles over flat beds. Journal of Fluid Mechanics, 251: 661–685.

    Article  Google Scholar 

  • Namikas S L. 2003. Field measurement and numerical modelling of aeolian mass flux distributions on a sandy beach. Sedimentology, 50(2): 303–326.

    Article  Google Scholar 

  • Namikas S L. 2006. A conceptual model of energy partitioning in the collision of saltating grains with an unconsolidated sediment bed. Journal of Coastal Research, 22(5): 1250–1259.

    Article  Google Scholar 

  • Nishimura K, Hunt J C R. 2000. Saltation and incipient suspension above a flat particle bed below a turbulent boundary layer. Journal of Fluid Mechanics, 417: 77–102.

    Article  Google Scholar 

  • Rasmussen K R, Sørensen M. 2008. Vertical variation of particle speed and flux density in aeolian saltation: measurement and modeling. Journal of Geophysical Research: Earth Surface, 113(F2): F02S12.

    Article  Google Scholar 

  • Rasmussen K R, Valance A, Merrison J. 2015. Laboratory studies of aeolian sediment transport processes on planetary surfaces. Geomorphology, 244: 74–94.

    Article  Google Scholar 

  • White B R, Schulz J C. 1977. Magnus effect in saltation. Journal of Fluid Mechanics, 81(3): 497–512.

    Article  Google Scholar 

  • White B R. 1982. Two-phase measurements of saltating turbulent boundary layer flow. International Journal of Multiphase Flow, 8(5): 459–473.

    Article  Google Scholar 

  • Willetts B B, Rice M A. 1986. Collisions in Aeolian saltation. Acta Mechanica, 63(1–4): 255–265.

    Article  Google Scholar 

  • Xie L, Dong Z B, Zheng X J. 2006. Experimental analysis of sand particles’ lift-off and incident velocities in wind-blown sand flux. Acta Mechanica Sinica, 21(6): 564–573.

    Article  Google Scholar 

  • Xing M, Guo L J. 2004. A modified probability distribution of ejection state of sand grains in equilibrium aeolian sand transport. Physics Letters A, 332(5–6): 389–397.

    Article  Google Scholar 

  • Xing M. 2005. Physical mechanisms of equilibrium wind-sand two-phase transport. PhD Dissertation. Xi’an: Xi’an Jiaotong University. (in Chinese)

    Google Scholar 

  • Zhang W, Wang Y, Lee S J. 2007. Two-phase measurements of wind and saltating sand in an atmospheric boundary layer. Geomorphology, 88(1–2): 109–119.

    Article  Google Scholar 

  • Zhang Y, Wang Y, Jia P. 2014. Measuring the kinetic parameters of saltating sand grains using a high-speed digital camera. Science China Physics, Mechanics & Astronomy, 57(6): 1137–1143.

    Article  Google Scholar 

  • Zheng X J, Zhu W, Xie L. 2008. A probability density function of liftoff velocities in mixed-size wind sand flux. Science in China Series G: Physics, Mechanics and Astronomy, 51(8): 976–985.

    Article  Google Scholar 

  • Zou X Y, Wang Z L, Hao Q Z, et al. 2001. The distribution of velocity and energy of saltating sand grains in a wind tunnel. Geomorphology, 36(3–4): 155–165.

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Fundamental Research Funds for the Central Universities of China (GK201503053) and the National Natural Science Foundation of China (41601002). We wish to thank Mr. WANG Yechun for his help with wind tunnel experiments.

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Authors and Affiliations

  1. National Demonstration Center for Experimental Geography Education, College of Tourism and Environment, Shaanxi Normal University, Xi’an, 710119, China

    Fengjun Xiao & Zhibao Dong

  2. State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

    Liejin Guo, Yueshe Wang & Debiao Li

  3. Xi’an Special Equipment Inspection Institute, Xi’an, 710065, China

    Debiao Li

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  1. Fengjun Xiao
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  2. Zhibao Dong
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  3. Liejin Guo
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  4. Yueshe Wang
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  5. Debiao Li
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Correspondence to Fengjun Xiao.

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Xiao, F., Dong, Z., Guo, L. et al. Sand particle lift-off velocity measurements and numerical simulation of mass flux distributions in a wind tunnel. J. Arid Land 9, 331–344 (2017). https://doi.org/10.1007/s40333-017-0096-1

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  • DOI: https://doi.org/10.1007/s40333-017-0096-1

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