Collisions Of Aggregates Research Articles

A closer look at individual collisions of dust aggregates: material mixing and exchange on microscopic scales

ABSTRACT Collisions between aggregates with different histories and compositions are expected to be commonplace in dynamically active protoplanetary discs. None the less, relatively little is known about how collisions themselves may contribute to the resulting mixing of material. Here, we use state-of-the-art granular dynamics simulations to investigate mixing between target/projectile material in a variety of individual aggregate-aggregate collisions, and use the results to discuss the efficiency of collisional mixing in protoplanetary environments. We consider sticking collisions (up to 10–20 m s–1 for our set-up) and disruptive collisions (40 m s–1) of ballistic particle–cluster aggregation (BPCA) and ballistic cluster–cluster aggregation (BCCA) clusters, and quantify mixing in the resulting fragments on both individual fragment and sub-aggregate levels. We find that the mass fraction of material that can be considered to be ‘well-mixed’ (i.e. locally made up of a mix of target and projectile material) to be limited, typically between 3 and 6 per cent for compact BPCA precursors, and increasing to 20–30 per cent for more porous BCCA clusters. The larger fragments produced in disruptive collisions are equally heterogeneous, suggesting aggregate–aggregate collisions are a relatively inefficient way of mixing material with different origins on small scales.

On the elastoplastic behavior in collisional compression of spherical dust aggregates

Aggregates consisting of submicron-sized cohesive dust grains are ubiquitous, and understanding the collisional behavior of dust aggregates is essential. It is known that low-speed collisions of dust aggregates result in either sticking or bouncing, and local and permanent compaction occurs near the contact area upon collision. In this study, we perform numerical simulations of collisions between two aggregates and investigate their compressive behavior. We find that the maximum compression length is proportional to the radius of aggregates and increases with the collision velocity. We also reveal that a theoretical model of contact between two elastoplastic spheres successfully reproduces the size- and velocity-dependence of the maximum compression length observed in our numerical simulations. Our findings on the plastic deformation of aggregates during collisional compression provide a clue to understanding the collisional growth process of aggregates.Graphic abstract

Dust-dust collisions in cometary comas: applications to comet 67P/Churyumov-Gerasimenko

Abstract Silica has emerged as a crucial component within inner comet comas. This work investigates silica dust aggregates and their interactions within cometary comas. We study the probability that aggregates in the size range 1-100 μm collide with each other in the coma and analyze the outcomes of such collisions by using the “Collision of Porous Aggregates” (CPA) Software, which incorporates mass, size, and porosity evolution of the dust population. Beginning with assumed initial distributions and physical properties for silica aggregates at the comet nucleus, we compute their collisional evolution from when they depart the nucleus until they traverse the coma. Using data of dust particles observed in the coma of comet 67P/Churyumov-Gerasimenko, we demonstrate that dust-dust collisions in cometary comas cannot be neglected. Our analysis yields final distributions in terms of mass, size, and porosity. To validate our findings, we compare them with in-situ measurements of 67P/Churyumov-Gerasimenko collected by the COSIMA (COmetary Secondary Ion Mass Analyser) instrument of the Rosetta mission. Our investigation reveals a notable agreement between our derived size distributions and the data acquired by COSIMA within the same size range. This study may be applied to any comet that presents a similar dust production as it approaches the Sun. The insights of this work may contribute to estimating other dust properties such as strength, absorption, reflectivity, and thermal conductivity and highlight the importance of considering dust-dust collisions when studying cometary comas and their evolution.

Revealing the influence of additional structure on the flow field characteristics and flocculation performance in thickener feedwell through PIV experiments

Cemented paste backfill (CPB) is a widely used method for resource utilization of tailings. The thickener feedwell is the key equipment for CPB to realize solid-liquid separation. Flocculation is a significant process in treating slurry thickening and dehydration. To reveal the flow field variation in the flocculation process, a range of feedwells with additional structures were devised, containing the guide chute feedwell, guide shelf feedwell, and no-additional structure feedwell. The effects of hydrodynamics on flocculation performance were investigated with particle image velocimetry. The velocity and energy distribution were used to describe the variation of the flow field. The size and fractal dimension of aggregates for the flocculation reaction were studied. Furthermore, the turbidity was compared to evaluate the flocculation performance. The results indicated that additional structure can improve flocculation performance, ultimately achieving efficient solid-liquid separation. The flocculation process in feedwell incorporates the mixing-collision section and settling-growth section along the flow direction, with bounding by additional structure. The ideal high-efficiency feedwell should produce a symmetrical and uniform flow field, providing matched shear strength for two sections. The guide chute feedwell exhibited superior performance, resulting in significantly larger aggregate sizes while also experiencing remarkable compactness compared to the alternative additional structure. The reason is that tailings slurry and flocculant obtain high mixing intensity and residence time in the mixing-collision section, causing the effective collision of micro aggregates, further increasing their size and compactness in the settling-growth section. Meanwhile, gradually decaying energy distribution avoids fragmentation of aggregates. This work is expected to provide theoretical and technical support for the design and optimization of feedwells, finally achieving deep dewatering of tailings slurry, and reducing solid waste pollution in mines.

An atomistic study of sticking, bouncing, and aggregate destruction in collisions of grains with small aggregates

Molecular dynamics simulations are used to study central collisions between spherical grains and between grains and small grain aggregates (up to 5 grains). For a model material (Lennard-Jones), grain–grain collisions are sticking when the relative velocity v is smaller than the so-called bouncing velocity and bouncing for higher velocities. We find a similar behavior for grain–aggregate collisions. The value of the bouncing velocity depends only negligibly on the aggregate size. However, it is by 35% larger than the separation velocity needed to break a contact; this is explained by energy dissipation processes during the collision. The separation velocity follows the predictions of the macroscopic Johnson–Kendall–Roberts theory of contacts. At even higher collision velocities, the aggregate is destroyed, first by the loss of a monomer grain and then by total disruption. In contrast to theoretical considerations, we do not find a proportionality of the collision energy needed for destruction and the number of bonds to be broken. Our study thus sheds novel light on the foundations of granular mechanics, namely the energy needed to separate two grains, the difference between grain–grain and grain–aggregate collisions, and the energy needed for aggregate destruction.

Performance analysis of hydraulic excavators in complex excavation environments and different bucket trajectories

Simulations of excavation operations not only help understand how excavators perform in specific environments but also can be used to optimise operating parameters. In this work, we explore the performance of hydraulic excavators under conditions of cohesive and size-dispersed materials and different bucket trajectories. The results indicate that with the cohesion increasing, the spillage of particles from the bucket is reduced, but the hydraulic power fluctuates greatly due to the strong collision of particle aggregates on the bucket. As the particle size distribution turns wider, small particles exert an intensive interaction force on the bucket, and the stress distribution on the bucket becomes wider. Therefore, some suggestions are given for practical excavation operations in different stockpile scenarios. Additionally, the bucket can be initially placed close to the base of the stockpile to achieve low specific energy consumption and high productivity.

Impact of internal structure on aggregate collisions

ABSTRACT Granular-mechanics simulations are used to study collisions between granular aggregates. We compare the collision outcomes for three different types of aggregate: (i) aggregates constructed by a ballistic particle–cluster aggregation (BPCA) process, and two homogeneous spherical aggregates which differ by their grain coordination. All aggregates contain the same number of grains and (central) filling factor. We find that BPCA aggregates have a slightly decreased growth velocity for central impacts. After scaling the collision velocities to the growth velocity for central impact and the impact parameter to the gyration radius, our collision results show a remarkable degree of agreement for the aggregates studied. Also, the collision-induced compaction as well as the size of fluctuations during the collision process are identical for all aggregate types. Even at glancing collisions, the larger extension and rough surface of BPCA aggregates do not cause major changes as compared to homogeneous aggregates with a well-defined and smooth surface. However, monomer ejection during the collision is enhanced for BPCA aggregates. This study thus shows that details of the internal aggregate structure are of little importance in collisions of granular aggregates, except for grain ejection.

Size Dependence of the Bouncing Barrier in Protoplanetary Dust Growth

Understanding the collisional behavior of dust aggregates is essential in the context of planet formation. It is known that low-velocity collisions of dust aggregates result in bouncing rather than sticking when the filling factor of colliding dust aggregates is higher than a threshold value. However, a large discrepancy between numerical and experimental results on the threshold filling factor was reported so far. In this study, we perform numerical simulations using soft-sphere discrete element methods and demonstrate that the sticking probability decreases with increasing aggregate radius. Our results suggest that the large discrepancy in the threshold filling factor may reflect the difference in the size of dust aggregates in earlier numerical simulations and laboratory experiments.

Charged Atmospheric Aerosols from Charged Saltating Dust Aggregates

Grain collisions in aeolian events, e.g., due to saltation, result in atmospheric aerosols. They may regularly be electrically charged, but individual charge balances in collisions including small grains are not easily obtained on the ground. We therefore approach this problem in terms of microgravity, which allows for the observation of collisions and the determination of small charges. In a drop tower experiment, ∼1 mm dust aggregates are traced before and after a collision within the electric field of a plate capacitor. The sum of the electric charge of two particles (total charge) before and after the collision often strongly deviates from charge conservation. Due to the average low collision velocities of 0.2 m/s, there is no large scale fragmentation. However, we do observe small charged particles emerging from collisions. The smallest of these particles are as small as the current resolution limit of the optical system, i.e., they are at least as small as tens of µm. In the given setting, these small fragments may carry 1 nC/m2–1 µC/m2 which is between 1% and ten times the surface charge density of the large aggregates. These first experiments indicate that collisions of charged aggregates regularly shed charged grains into the atmosphere, likely down to the suspendable aerosol size.

Effect of Particle Size on the Orientation and Order of Assemblies of Functionalized Microscale Cubes Formed at the Water/Air Interface.

The impact of the particle size and wettability on the orientation and order of assemblies obtained by self-organization of functionalized microscale polystyrene cubes at the water/air interface is reported. An increase in the hydrophobicity of 10- and 5-μm-sized self-assembled monolayer-functionalized polystyrene cubes, as assessed by independent water contact angle measurements, led to a change of the preferred orientation of the assembled cubes at the water/air interface from face-up to edge-up and further to vertex-up, irrespective of microcube size. This tendency is consistent with our previous studies with 30-μm-sized cubes. However, the transitions among these orientations and the capillary force-induced structures, which change from flat plate to tilted linear and further to close-packed hexagonal arrangements, were observed to shift to larger contact angles for smaller cube size. Likewise, the order of the formed aggregates decreased significantly with decreasing cube size, which is tentatively attributed to the small ratio of inertial force to capillary force for smaller cubes in disordered aggregates, which results in more difficulties to reorient in the stirring process. Experiments with small fractions of larger cubes added to the water/air interface increased the order of smaller homo-aggregates to values similar to neat 30 μm cube assemblies. Hence, collisions of larger cubes or aggregates are shown to play a decisive role in breaking metastable structures to approach a global energy minimum assembly.

Deviations from spherical shape decrease the growth velocity in granular aggregate collisions – a granular mechanics study

ABSTRACT We used granular mechanics simulations to study collisions between spherical aggregates and axisymmetric ellipsoidal aggregates of equal mass. Non-spherical aggregates may be generated, for example, as the result of previous aggregate collisions, either from the merging of aggregates or from fragmentation processes. Of particular interest is the growth velocity, i.e. the critical collision velocity above which the size of the largest post-collision fragment is smaller than the original aggregate size. We find a systematic decrease of the growth velocity with axis ratio of the ellipsoid. The decrease is caused by the ‘rim peel-off’ effect: grain material close to the rims is more readily ejected from the boundaries of aggregates. When considering collisions with ellipsoids of identical semimajor axis, the growth velocity of oblate ellipsoids surpasses that of prolate ellipsoids. Averaging over the orientation of the ellipsoid and over the impact parameters possible in a collision retains the above-mentioned results. The influence of aggregate shape on collision outcomes is of interest, for instance, for codes describing the evolution of dust clouds under collisions.

The role of porosity in collisions of granular aggregates: A simulation study of fusion, sliding, and fragmentation collisions

Context. Collisions between porous dust aggregates are crucial for the evolution of protoplanetary disks. Aims. We study how the porosity, relative velocity, and impact parameter determine whether colliding dust aggregates grow or erode (fragment) in collisions. Methods. We used a granular-mechanics simulation of aggregates composed of 20 000 grains to determine the collision outcomes of colliding aggregates. Only collisions between aggregates of an equal mass and porosity are considered. Results. The collisional outcomes can be grouped into three classes: “fusion” if the mass of the largest post-collision cluster exceeds 150% of the mass of a single aggregate; “sliding” if the two largest post-collision clusters each contain more than 75% of the initial aggregate mass; and “fragmentation” as the remaining events. Fusion occurs for low velocities and impact parameters, sliding for large impact parameters, and fragmentation dominates at large velocities. The results for central collisions show no sliding and thus strongly differ from the impact-parameter-averaged results. Conclusions. With increasing aggregate porosity, the sliding probability – and to a lesser degree also the fusion probability at small velocities – decreases and the fragmentation probability increases.

A Monte Carlo code for the collisional evolution of porous aggregates (CPA)

Context. The collisional evolution of submillimeter-sized porous dust aggregates is important in many astrophysical fields. Aims. We have developed a Monte Carlo code to study the processes of collision between mass-asymmetric, spherical, micron-sized porous silica aggregates that belong to a dust population. Methods. The Collision of Porous Aggregates (CPA) code simulates collision chains in a population of dust aggregates that have different sizes, masses, and porosities. We start from an initial distribution of granular aggregate sizes and assume some collision velocity distribution. In particular, for this study we used a random size distribution and a Maxwell-Boltzmann velocity distribution. A set of successive random collisions between pairs of aggregates form a single collision chain. The mass ratio, filling factor, and impact velocity influence the outcome of the collision between two aggregates. We averaged hundreds of thousands of independent collision chains to obtain the final, average distributions of aggregates. Results. We generated and studied four final distributions (F), for size (n), radius (R), porosity, and mass-porosity distributions, for a relatively low number of collisions. In general, there is a profuse generation of monomers and small clusters, with a distribution F (R) ∝ R−6 for small aggregates. Collisional growth of a few very large clusters is also observed. Collisions lead to a significant compaction of the dust population, as expected. Conclusions. The CPA code models the collisional evolution of a dust population and incorporates some novel features, such as the inclusion of mass-asymmetric aggregates (covering a wide range of aggregate radii), inter-granular friction, and the influence of porosity.

A granular mechanics model study of the influence of non-spherical shape on aggregate collisions

Collisions between granular aggregates influence the size distribution of dust clouds. Granular aggregates may possess non-spherical shapes as a result of, for instance, previous collision processes. Here, we study aggregate collisions using a granular mechanics simulation code. Collisions between spherical aggregates are compared to collisions of ellipsoidal aggregates of equal mass. As the most prominent result, we find that the growth velocity, i.e., the velocity above which the post-collision aggregates are smaller than before collision, is generally reduced for ellipsoidal aggregates. The reason hereto lies in the less compact structure of ellipsoids which allows for a larger degree of fragmentation in a ‘rim peel-off’ mechanism. On the other hand, relative fragment distributions are only little influenced by aggregate shape.

Homogeneous Electrochemical Immunoassay Using an Aggregation–Collision Strategy for Alpha-Fetoprotein Detection

Homogeneous immunoassays represent an attractive alternative to traditional heterogeneous assays due to their simplicity and high efficiency. Homogeneous electrochemical assays, however, are not commonly accessed due to the requirement of electrode immobilization of the recognition elements. Herein, we demonstrate a new homogeneous electrochemical immunoassay based on the aggregation-collision strategy for the quantification of tumor protein biomarker alpha-fetoprotein (AFP). The detection principle relies on the aggregation of AgNPs induced by the molecular biorecognition between AFP and AgNPs-anti-AFP probes, which leads to an increased AgNP size and decreased AgNP concentration, allowing an accurate self-validated dual-mode immunoassay by performing nanoimpact electrochemistry (NIE) of the oxidation of AgNPs. The intrinsic one-by-one analytical capability of NIE as well as the participation of all of the atoms of the AgNPs in signal transduction greatly elevates the detection sensitivity. Accordingly, the current sensor enables a limit of detection (LOD) of 5 pg/mL for AFP analysis with high specificity and efficiency. More importantly, reliable detection of AFP in diluted human sera of hepatocellular carcinoma (HCC) patients is successfully achieved, indicating that the NIE-based homogeneous immunoassay shows great potential in HCC liquid biopsy.

Simulation of the hydrate blockage process in a water-dominated system via the CFD-DEM method

With oil and gas exploitation developing towards deep-water fields, the extreme, low-temperature, and high-pressure environments are ideal for hydrate formation in subsea pipelines. Hydrate formation, growth, aggregation, and deposition in the flowlines substantially increase the hydrate blockage risk, necessitating the assessment and clarification of this process. This work employed computational fluid dynamics (CFD) and the discrete element method (DEM) to perform several numerical simulations using Fluent and EDEM to study the hydrate blockage process caused by aggregation and deposition. A three-dimensional model of a solid-liquid pipeline containing hydrate particles was established, which considered the cohesion force between the hydrate particles and the adhesion force between the hydrate particles and pipe wall. Two simulation strategies were implemented. The first simulated the hydrate blockage process using a throttling element, which assumed hydrate depositions on the pipeline wall. The second studied the impact of the collision between upstream and downstream hydrate aggregates. The critical hydrate blockage state was roughly defined based on the hydrate volume fraction and pressure drop changes during the hydrate aggregate collision process. These results represented the initial work for simulating the hydrate blockage process via combined CFD-DEM by considering the bidirectional interaction between the continuous water phase and discrete hydrate particles. These preliminary findings provided theoretical support for studying the hydrate blockage mechanism to solve the hydrate flow assurance issue in the subsea pipelines.

Granular mechanics simulations of collisions between chondritic aggregates

Context. Collisions of dust aggregates are relevant for the evolution of protoplanetary disks. Aims. While in the past interest focused on aggregates composed of monodisperse grains, here we study the collision of chondritic aggregates, in which – besides a majority of dust grains – larger chondrules are embedded. Methods. We use granular-mechanics simulations to study collisions of chondritic aggregates. Results. Low-velocity collisions lead to pancake-shaped deformations of the fused cluster accompanied by a compaction of the dust grains. Higher collision velocities fragment the aggregates. While some chondrules are almost laid bare after the collision, we find that the largest fragments typically contain chondrules; large fragments thus capture chondrules. Grain compaction is accompanied by an increase in grain – chondrule contacts and is maximum for intermediate velocities, just before aggregates start fragmenting. Conclusions. The presence of chondrules considerably influences the fragmentation behavior of dust aggregates.

Growth of aggregates with liquid-like ice shells in protoplanetary discs

ABSTRACT During the first stages of planet formation, the collision growth of dust aggregates in protoplanetary discs (PPDs) is interrupted at the bouncing barrier. Dust aggregates coated by different species of ice turn out to be helpful to shift the bouncing barrier towards larger sizes due to their enhanced sticking properties in some cases. A rarely noticed fact is that H2O ice and H2O–CH3OH–NH3 ice behave liquid-like when UV irradiated within a PPD-similar environment. Dust aggregates coated by these ice species might be damped in collisions due to the liquid-like ice shell, which would effectively result in an increase of the sticking velocity. In this work, collisions of dust aggregates covered by the liquid-like H2O–CH3OH–NH3 ice shell are considered numerically. The coefficient of restitution and the sticking velocity are calculated for different thicknesses of the ice shell. The simulation predicts that an ice-shell thickness of few microns would be sufficient to allow the growth of cm-sized clusters in the PPD.

On the scaling of fragmentation and energy dissipation in collisions of dust aggregates

Fragmentation of granular clusters may be studied by experiments and by granular mechanics simulation. When comparing results, it is often assumed that results can be compared when scaled to the same value of E/E_{mathrm{sep}}, where E denotes the collision energy and E_{mathrm{sep}} is the energy needed to break every contact in the granular clusters. The ratio E/E_{mathrm{sep}}propto v^2 depends on the collision velocity v but not on the number of grains per cluster, N. We test this hypothesis using granular-mechanics simulations on silica clusters containing a few thousand grains in the velocity range where fragmentation starts. We find that a good parameter to compare different systems is given by E/(N^{alpha }E_{mathrm{sep}}), where alpha sim 2/3. The occurrence of the extra factor N^{alpha } is caused by energy dissipation during the collision such that large clusters request a higher impact energy for reaching the same level of fragmentation than small clusters. Energy is dissipated during the collision mainly by normal and tangential (sliding) forces between grains. For large values of the viscoelastic friction parameter, we find smaller cluster fragmentation, since fragment velocities are smaller and allow for fragment recombination.Graphic abstract

Collisions between micro-sized aggregates: role of porosity, mass ratio, and impact velocity

ABSTRACT Dust aggregate collisions usually occur between mass-asymmetric collision partners. Granular-mechanics simulations are used to study the influence of filling factor, φ, and impact velocity in collisions of spherical granular aggregates with different values of their mass ratio, but the same filling factor. Three possible outcomes are observed: (i) sticking, which might include penetration of the smaller aggregate into the larger aggregate; (ii) fragmentation of the largest aggregate into two large fragments, particularly due to the so-called piston effect for low filling factors; and (iii) total destruction of the aggregates. Most of the impact energy is spent by friction, with some fraction leading to compaction of the porous material. The erosion efficiency varies significantly with impact velocity, mass ratio, and porosity, but the accretion efficiency does not show such strong variations. For highly asymmetric collisions with high impact velocities (≃100 m s−1), grain accretion (growth) can occur for a ‘window’ in the filling factor (0.20 < φ < 0.35). This window becomes wider as the impact velocity decreases. As the mass ratio of the aggregates decreases, the impact velocities that enable growth can also decrease. The mass distribution of the fragments follows a power-law distribution that is almost independent of the mass ratio, filling factor, and velocity.