Saltation in wind blown sand

The Boltzmann equation of the sand particle velocity distribution function in wind-blown sand two-phase flow is established based on the motion equation of single particle in air. And then, the generalized balance law of particle property in single phase granular flow is extended to gas-particle two-phase flow. The velocity distribution function of particle phase is expanded into an infinite series by means of Grad's method and the Gauss distribution is used to replace Maxwell distribution. In the case of truncation at the third-order terms, a closed third-order moment dynamical equation system is constructed. The theory is further simplified according to the measurement results obtained by stroboscopic photography in wind tunnel tests.

Reconstructing The Vertical Distribution Of The Aeolian Saltation Mass Flux Based On The Probability Distribution Of Lift-Off Velocity

The probability distribution of lift-off velocity of the saltating grains is a bridge to linking microscopic and macroscopic research of aeolian sand transport. The lift-off parameters of saltating grains (i.e., the horizontal and vertical lift-off velocities, resultant lift-off velocity, and lift-off angle) in a wind tunnel are measured by using a Phase Doppler Particle Analyzer (PDPA). The experimental results show that the probability distribution of horizontal lift-off velocity of saltating particles on a bed surface is a normal function, and that of vertical lift-off velocity is an exponential function. The probability distribution of resultant lift-off velocity of saltating grains can be expressed as a log-normal function, and that of lift-off angle complies with an exponential function. A numerical model for the vertical distribution of aeolian mass flux based on the probability distribution of lift-off velocity is established. The simulation gives a sand mass flux distribution which is consistent with the field data of Namikas (Namikas, S.L., 2003. Field measurement and numerical modelling of acolian mass flux distributions on a sandy beach, Sedimentology 50, 303-326). Therefore, these findings are helpful to further understand the probability characteristics of lift-off grains in aeolian sand transport. (c) 2007 Elsevier B.V. All rights reserved.

On the prediction of pickup and saltation velocities in pneumatic conveying

This paper presents a comparative study of the critical pickup and saltation velocities of particles in horizontal pipelines for pneumatic conveying design. A comparative study is performed using different existing correlations in the literature for the determination of the minimum velocity of transport as a function of the particle and pipe diameter, particle density, solid mass flow rate and particle sphericity. Their limitations and difficulties in predicting those critical velocities are analyzed. For the pickup velocity, an experimental study was also carried out in order to support the analysis. Recommendations are presented on the use of such correlations.

Measuring Aeolian Saltation: A Comparison of Sensors

SHERMAN, D.J.; LI, B.; FERRELL E.J.; ELLIS, J.T.; COX, W.D.; MAIA, L.P., and SOUSA, P.H.G.O., 2011. Measuring Aeolian Saltation: A Comparison of Sensors. In: Roberts, T.M., Rosati, J.D., and Wang, P. (eds.), Proceedings, Symposium to Honor Dr. Nicholas C. Kraus, Journal of Coastal Research, Special Issue, No. 59, pp. 280-290. West Palm Beach (Florida), ISSN 0749-0208. We report the results of field experiments designed to compare four types of aeolian saltation sensors: the Safire; the Wenglor (R) Particle Counter; the Miniphone; and the Buzzer Disc. Sets of sensors were deployed in tight spatial arrays and sampled at rates as fast as 20 kHz. In two of the three trials, the data from the sensors are compared to data obtained from sand traps. The Miniphone and the Buzzer Disc, based on microphone and piezoelectric technologies, respectively, produced grain impact counts comparable to those derived from the trap data. The Satire and the Wenglor (R) Particle Counter produce count rates that were an order of magnitude too slow. Satires undercount because of their large momentum threshold and because its signal is saturated at relatively slow transport rates. We conclude that the Miniphone and the Buzzer Disc are appropriate for deployment as grain counters because their small size allows them to be installed in closely-spaced sets.

De la saltation théatrale, ou, Recherches sur l'origine, les progrès, & les effets de la pantomime chez les anciens : avec neuf planches coloriées : dissertation qui a remporté le prix double à l'Académie des inscriptions & belles-lettres en novembre 1789 /

Engraved plates in Getty Research Institute copy are hand-colored.

Sediment-transport (wind) experiments in zero gravity

The carousel wind tunnel (CWT) can be a significant tool for the determination of the nature and magnitude of interparticlar forces at threshold of motion. By altering particle and drum surface electrical properties and/or by applying electric potential difference across the inner and outer drums, it should be possible to separate electrostatic effects from other forces of cohesion. Besides particle trajectory and bedform analyses, suggestions for research include particle aggregation in zero and sub-gravity environments, effect of suspension-saltation ratio on soil abrasion, and the effects of shear and shear free turbulence on particle aggregation as applied to evolution of solar nebula.

Experimental Investigation Of Particle Velocity Distributions In Windblown Sand Movement

With the PDPA (Phase Doppler Particle Analyzer) measurement technology, the probability distributions of particle impact and lift-off velocities on bed surface and the particle velocity distributions at different heights are detected in a wind tunnel. The results show that the probability distribution of impact and lift-off velocities of sand grains can be expressed by a log-normal function, and that of impact and lift-off angles complies with an exponential function. The mean impact angle is between 28 degrees and 39 degrees, and the mean lift-off angle ranges from 30 degrees to 44 degrees. The mean lift-off velocity is 0.81-0.9 times the mean impact velocity. The proportion of backward-impacting particles is 0.05-0.11, and that of backward-entrained particles ranges from 0.04 to 0.13. The probability distribution of particle horizontal velocity at 4 mm height is positive skew, the horizontal velocity of particles at 20 mm height varies widely, and the variation of the particle horizontal velocity at 80 mm height is less than that at 20 mm height. The probability distribution of particle vertical velocity at different heights can be described as a normal function.

Wind Tunnel Experimental Investigation Of Sand Velocity In Aeolian Sand Transport

Sand velocity in aeolian sand transport was measured using the laser Doppler technique of PDPA (Phase Doppler Particle Analyzer) in a wind tunnel. The sand velocity profile, probability distribution of particle velocity, particle velocity fluctuation and particle turbulence were analyzed in detail. The experimental results verified that the sand horizontal velocity profile can be expressed by a logarithmic function above 0.01 in, while a deviation occurs below 0.01 m. The mean vertical velocity of grains generally ranges from -0.2 m/s to 0.2 m/s, and is downward at the lower height, upward at the higher height. The probability distributions of the horizontal velocity of ascending and descending particles have a typical peak and are right-skewed at a height of 4 turn in the lower part of saltation layer. The vertical profile of the horizontal RMS velocity fluctuation of particles shows a single peak. The horizontal RMS velocity fluctuation of sand particles is generally larger than the vertical RMS velocity fluctuation. The RMS velocity fluctuations of grains in both horizontal and vertical directions increase with wind velocity. The particle turbulence intensity decreases with height. The present investigation is helpful in understanding the sand movement mechanism in windblown sand transport and also provides a reference for the study of blowing sand velocity. (C) 2007 Elsevier B.V All rights reserved.

Phase noise analysis of a mechanical autonomous impact oscillator with a MEMS resonator

In this paper, phase noise analysis of a mechanical autonomous impact oscillator with a MEMS resonator is performed. Since the circuit considered belongs to the class of hybrid systems, methods based on the variational model for the evaluation of either phase noise or steady state solutions cannot be directly applied. As a matter of fact, the monodromy matrix is not defined at impact events in these systems. By introducing saltation matrices, this limit is overcome and the aforementioned methods are extended. In particular, the unified theory developed by Demir is used to analyze the phase noise after evaluating the asymptotically stable periodic solution of the system by resorting to the shooting method. Numerical results are presented to show how noise sources affect the phase noise performances. © 2011 IEEE.

Numerical investigation of particle velocity distributions in aeolian sand transport

Particle velocity distribution in a blowing sand cloud is a reflection of saltation movement of many particles. Numerical analysis is performed for particle velocity distribution with a discrete particle model. The probability distributions of resultant particle velocity in the impact-entrainment process, particle horizontal and vertical velocities at different heights and the vertical velocity of ascending particles are analyzed. The probability distributions of resultant impact and lift-off velocities of saltating particles can be expressed by a log-normal function, and that of impact angle comply with an exponential function. The probability distribution of particle horizontal and vertical velocities at different heights shows a typical single-peak pattern. In the lower part of saltation layer, the particle horizontal velocity distribution is positively skewed. Further analysis shows that the probability density function of the vertical velocity of ascending particles is similar to the right-hand part of a normal distribution function, and a general equation is acquired for the probability density function of non-dimensional vertical velocity of ascending particles which is independent of diameter of saltating particles, wind strength and height. These distributions in the present numerical analysis are consistent with reported experimental results. The present investigation is important for understanding the saltation state in wind-blown sand movement. (C) 2009 Elsevier B.V. All rights reserved.

Sand storms: CFD analysis of Reynolds stress and collision stress of particles near sand bed

Sand storm is a serious environmental threat to humans. Sand particles are transported by saltation and suspension, causing soil erosion in one place and deposition in another. In order to prevent and predict sand storms, the causes and the manners of particle motions must be studied in detail. In this paper a standard k-epsilon model is used for the gas phase simulation and the discrete element method (DEM) is used to predict the movements of particles using an in-house procedure. The data are summarized in an Eulerian-Eulerian regime after simulation to get the statistical particle Reynolds stress and particle collision stress. The results show that for the current case the Reynolds stress and the air shear stress predominate in the region 20-250 mm above the initial sand bed surface. However, in the region below 3 mm, the collision stress must be taken into account in predicting particle movement. (C) 2010 Chinese Society of Particuology and Institute of Process Engineering, Chinese Academy of Sciences. Published by Elsevier B.V. All rights reserved.

细粒沉积物多组分粒度特征及其成因机制研究

By using high-resolution laser grain size instrument Mastersizer 2000, the grain size distribution of windblown depositions (loess and sandy dunes), aqueous sediments (lake, river, riverside and foreshore sand), weathering crust, sloping materials and other fine-grain sediments are systemically measured. The multimodal characteristics of grain size distribution of these sediments are carefully studied. The standard patterns and their grain size characteristics of various sediments are systemically summarized. The discrepancies of multimodal distribution among windblown depositions, aqueous sediments and other sediments are concluded and the physical mechanisms of grain size multimodal distribution of various sediments are also discussed in this paper. The major conclusions are followed: 1. The multimodal characteristic of grain size distribution is a common feature in all sediments and results from properties of transportation medium, dynamic intensity, transportation manner and other factors. 2. The windblown depositions are controlled by aerodynamic forcing, resulting in that the median size of the predominant mode gradually decreases form sandy dunes to loess. Similarly, the aqueous sediments are impacted by dynamic forces of water currents and the median grain size of the predominant mode decreases gradually from river to lake sediments. Because the kinetic viscidity of air is lower than of water, the grain size of modes of windblown depositions is usually finer than that of corresponding modes of aqueous sediments. Typical characteristics of sediments grain size distribution of various sediments have been summarized in the paper: (1) Suspended particles which diameters are less than 75μm are dominant in loess and dust. There are three modes in loess’ grain size distribution: fine, median and coarse (the median size is <1μm、1-10μm、10-75μm, respectively). The coarse mode which percentage is larger than that of others is controlled by source distance and aerodynamic intensity of dust source areas. Some samples also have a saltation mode which median size is about 300-500μm. Our analysis demonstrates that the interaction of wind, atmospheric turbulence, and dust grain gravity along the dust transportation path results in a multimodal grain size distribution for suspended dust. Changes in the median sizes of the coarse and medium modes are related to variation in aerodynamic forcing (lift force related to vertical wind and turbulence) during dust entrainment in the source area and turbulence intensity in the depositional area. (2) There is a predominant coarse saltation mode in grain size distribution of sandy dunes, which median size is about 100-300μm and the content is larger than that of other modes. The grain size distribution curve is near axis symmetric as a standard logarithm normal function. There are some suspended particles in some samples of sandy dunes, which distribution of the fine part is similar to that of loess. Comparing with sandy samples of river sediments, the sorting property of sandy dunes is better than of river samples although both they are the saltation mode. Thus, the sorting property is a criterion to distinguish dune sands and river sands. (3) There are 5~6 modes (median size are <1μm, 1-10μm, 10-70μm, 70-150μm, 150-400μm, >400μm respectively) in grain size distribution of lacustrine sediments. The former 4 modes are suspensive and others are saltated. Lacustrine sediments can be divided into three types: lake shore facies, transitional facies and central lake facies. The grain size distributions of the three facies are distinctly different and, at the same time, the transition among three modes is also clear. In all these modes, the third mode is a criteria to identify the windblown deposition in the watershed. In lake shore sediments, suspended particles are dominant, a saltation mode sometimes occurs and the fourth mode is the most important mode. In the transitional facies, the percentage of the fourth mode decreases and that of the second mode increases from lake shore to central lake. In the central lake facies, the second mode is dominant. A higher content of the second mode indicates its position more close to the central lake. (4) The grain size distribution of river sediments is the most complex. It consist of suspension, saltation and rolling modes. In most situations, the percentage of the saltation mode is larger than that of other modes. The percentage of suspension modes of river sediments is more than of sandy dunes. The grain size distribution of river sediments indicates dynamic strength of river currents. If the fourth mode is dominant, the dynamic forcing of river is weaker, such as in river floodplain. If the five or sixth mode is dominant, the water dynamic forcing of rivers is strong. (5) Sediments can be changed by later forcing in different degree to form some complicated deposition types. In the paper, the grain size distribution of aqueous sediments of windblown deposition, windblown sediments of aqueous deposition, weathering crust and slope materials are discussed and analyzed. 3. The grain size distribution characteristics of different sediments are concluded: (1) Modal difference: Usually there are suspended and saltation modes in the windblown deposition. The third mode is dominant in loess dust and the fifth mode is predominant in sandy dunes. There are suspended, saltation and rolling particles in aqueous sediments. In lacustrine sediments, the second and fourth mode are predominant for central lake facies or lake shore facies, respectively. In river sediments, the fourth, or fifth, or sixth mode is predominant. Suspended modes: the grain size of suspended particles of windblown depositions usually is less than 75μm. The content of suspended particles is lower or none in sandy dunes. However, suspended particles of aqueous sediments may reach 150μm. Difference in grain size of suspended modes represents difference between transitional mediums and the strength of dynamic forcing. Saltation modes: the median size of saltation mode of sandy dunes fluctuates less than that of river sediments. (2) Loess dust and lacustrine sediment: Their suspended particles are clearly different. There is an obvious pit between the second and the third modes in grain size distribution of lacustrine sediments. The phenomenon doesn’t occur in loess dust. In lacustrine sediments, the second mode can be a dominant mode, such as central lake facies, and contents of the second and the third modes change reversely. However, the percentage of the third mode is always the highest in loess dust. (3) Dune Sand and fluvial sand: In these two depositions, the saltation particles are dominant and the median sizes of their saltation modes overlay in distribution range. The fifth mode of dune sand fluctuates is sorted better than that of fluvial sand. (4) Lacustrine and fluvial sediments: In lacustrine sediments, there are 5-6 modes and suspended particles can be predominant. The second mode is dominant in central lake facies and the third mode is dominant in lake shore facies. Saltation or roll modes occurred in central lake facies may indicate strong precipitation events. In fluvial sediments, saltation particles (or rolling particles) usually dominant. 4. A estimation model of lake depth is firstly established by using contents of the second, the third and the fourth modes. 5. The paleoenvironmental history of the eastern part of SongLiao basin is also discussed by analyzing the grain size distribution of Yushu loess-like sediments in Jilin. It was found that there is a tectonic movement before 40ka B.P. in SongLiao basin. After the movement, loess dust deposited in Yushu area as keerqin desert developed. In recent 2000 years, the climate became drier and more deserts activated in the eastern part of Song-Liao basin.

An assessment of the impact of local processes on dust lifting in martian climate models

Simulation of the lifting of dust from the planetary surface is of substantially greater importance on Mars than on Earth, due to the fundamental role that atmospheric dust plays in the former’s climate, yet the dust emission parameterisations used to date in martian global climate models (MGCMs) lag, understandably, behind their terrestrial counterparts in terms of sophistication. Recent developments in estimating surface roughness length over all martian terrains and in modelling atmospheric circulations at regional to local scales (less than O(100 km)) presents an opportunity to formulate an improved wind stress lifting parameterisation. We have upgraded the conventional scheme by including the spatially varying roughness length in the lifting parameterisation in a fully consistent manner (thereby correcting a possible underestimation of the true threshold level for wind stress lifting), and used a modification to account for deviations from neutral stability in the surface layer. Following these improvements, it is found that wind speeds at typical MGCM resolution never reach the lifting threshold at most gridpoints: winds fall particularly short in the southern midlatitudes, where mean roughness is large. Sub-grid scale variability, manifested in both the near-surface wind field and the surface roughness, is then considered, and is found to be a crucial means of bridging the gap between model winds and thresholds. Both forms of small-scale variability contribute to the formation of dust emission ‘hotspots’: areas within the model gridbox with particularly favourable conditions for lifting, namely a smooth surface combined with strong near-surface gusts. Such small-scale emission could in fact be particularly influential on Mars, due both to the intense positive radiative feedbacks that can drive storm growth and a strong hysteresis effect on saltation. By modelling this variability, dust lifting is predicted at the locations at which dust storms are frequently observed, including the flushing storm sources of Chryse and Utopia, and southern midlatitude areas from which larger storms tend to initiate, such as Hellas and Solis Planum. The seasonal cycle of emission, which includes a double-peaked structure in northern autumn and winter, also appears realistic. Significant increases to lifting rates are produced for any sensible choices of parameters controlling the sub-grid distributions used, but results are sensitive to the smallest scale of variability considered, which high-resolution modelling suggests should be O(1 km) or less. Use of such models in future will permit the use of a diagnosed (rather than prescribed) variable gustiness intensity, which should further enhance dust lifting in the southern hemisphere in particular.