Please wait a minute...
Journal of Arid Land  2017, Vol. 9 Issue (3): 331-344    DOI: 10.1007/s40333-017-0096-1     CSTR: 32276.14.s40333-017-0096-1
Orginal Article     
Sand particle lift-off velocity measurements and numerical simulation of mass flux distributions in a wind tunnel
Fengjun XIAO1,*(), Zhibao DONG1, Liejin GUO2, Yueshe WANG2, Debiao LI2,3
1 National Demonstration Center for Experimental Geography Education, College of Tourism and Environment, Shaanxi Normal University, Xi’an 710119, China
2 State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China
3 Xi’an Special Equipment Inspection Institute, Xi’an 710065, China
Download: HTML     PDF(704KB)
Export: BibTeX | EndNote (RIS)      

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.



Key wordslift-off velocity      lift-off angle      joint probability distribution      sand mass flux      saltation     
Received: 24 August 2016      Published: 10 May 2017
Corresponding Authors:
Cite this article:

Fengjun XIAO, Zhibao DONG, Liejin GUO, Yueshe WANG, Debiao LI. Sand particle lift-off velocity measurements and numerical simulation of mass flux distributions in a wind tunnel. Journal of Arid Land, 2017, 9(3): 331-344.

URL:

http://jal.xjegi.com/10.1007/s40333-017-0096-1     OR     http://jal.xjegi.com/Y2017/V9/I3/331

[1] Anderson R S, Hallet B.1986. Sediment transport by wind: toward a general model. The Geological Society of America Bulletin, 97(5): 523-535.
[2] Anderson R S, Haff P K.1988. Simulation of aeolian saltation. Science, 241(4867): 820-823.
[3] Andreotti B.2004. A two-species model of aeolian sand transport. Journal of Fluid Mechanics, 510: 47-70.
[4] Bagnold R A.1941. The Physics of Blown Sand and Desert Dunes. London: Methuen, 229.
[5] 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.
[6] 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.
[7] 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.
[8] 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.
[9] 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.
[10] 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.
[11] 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.
[12] 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.
[13] Ho T D, Valance A, Dupont P, et al.2011. Scaling laws in aeolian sand transport. Physical Review Letters, 106(9): 094501.
[14] 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.
[15] 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.
[16] 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.
[17] 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.
[18] 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.
[19] Kok J F, Renno N O.2009. A comprehensive numerical model of steady state saltation (COMSALT). Journal of Geophysical Research: Atmospheres, 114(D17): D17204.
[20] 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.
[21] McDonald R R, Anderson R S.1995. Experimental verification of aeolian saltation and lee side deposition models. Sedimentology, 42(1): 39-56.
[22] McEwan I K, Willetts B B, Rice M A.1992. The grain/bed collision in sand transport by wind. Sedimentology, 39(6): 971-981.
[23] 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.
[24] Nalpanis P, Hunt J C R, Barrett C F.1993. Saltating particles over flat beds. Journal of Fluid Mechanics, 251: 661-685.
[25] Namikas S L.2003. Field measurement and numerical modelling of aeolian mass flux distributions on a sandy beach. Sedimentology, 50(2): 303-326.
[26] 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.
[27] 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.
[28] Rasmussen K R, S?rensen 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.
[29] Rasmussen K R, Valance A, Merrison J.2015. Laboratory studies of aeolian sediment transport processes on planetary surfaces. Geomorphology, 244: 74-94.
[30] White B R, Schulz J C.1977. Magnus effect in saltation. Journal of Fluid Mechanics, 81(3): 497-512.
[31] White B R.1982. Two-phase measurements of saltating turbulent boundary layer flow. International Journal of Multiphase Flow, 8(5): 459-473.
[32] Willetts B B, Rice M A.1986. Collisions in Aeolian saltation. Acta Mechanica, 63(1-4): 255-265.
[33] 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.
[34] 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.
[35] Xing M.2005. Physical mechanisms of equilibrium wind-sand two-phase transport. PhD Dissertation. Xi’an: Xi’an Jiaotong University. (in Chinese)
[36] 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.
[37] 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.
[38] 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.
[39] 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.
[1] ZHANG Chunlai, WANG Xuesong, CEN Songbo, ZHENG Zhongquan Charlie, WANG Zhenting. Separating emitted dust from the total suspension in airflow based on the characteristics of PM10 vertical concentration profiles on a Gobi surface in northwestern China[J]. Journal of Arid Land, 2022, 14(6): 589-603.
[2] Batjargal BUYANTOGTOKH, Yasunori KUROSAKI, Atsushi TSUNEKAWA, Mitsuru TSUBO, Batdelger GANTSETSEG, Amarsaikhan DAVAADORJ, Masahide ISHIZUKA, Tsuyoshi T SEKIYAMA, Taichu Y TANAKA, Takashi MAKI. Effect of stones on the sand saltation threshold during natural sand and dust storms in a stony desert in Tsogt-Ovoo in the Gobi Desert, Mongolia[J]. Journal of Arid Land, 2021, 13(7): 653-673.
[3] LIU Benli, WANG Zhaoyun, NIU Baicheng, QU Jianjun. Large scale sand saltation over hard surface: a controlled experiment in still air[J]. Journal of Arid Land, 2021, 13(6): 599-611.
[4] Chanwen JIANG, Zhibao DONG, Xiaoyan WANG. An improved particle tracking velocimetry (PTV) technique to evaluate the velocity field of saltating particles[J]. Journal of Arid Land, 2017, 9(5): 727-742.
[5] XingHua YANG, Qing HE, Mamtimin ALI, Wen HUO XinChun LIU. Near-surface sand-dust horizontal flux in Tazhong—the hinterland of the Taklimakan Desert[J]. Journal of Arid Land, 2013, 5(2): 199-206.
[6] XingHua YANG, Ali MAMTIMIN, Qing HE, XinChun LIU, Wen HUO. Observation of saltation activity at Tazhong area in Taklimakan Desert, China[J]. Journal of Arid Land, 2013, 5(1): 32-41.