Abstract
The collision of gas-borne particles with surfaces plays an important role in many processes of particle technology such as particle separation, dry dispersion of powders and particle measuring techniques. While for coarse particles comprehensive investigations have been performed regarding sticking and bouncing behavior, in the range of nanoparticles new issues arise e.g. the influence of adhesive forces and of restructuring during plastic deformation on the impact process. In this contribution the different interactions (elastic and plastic deformation, friction, adhesion, charge transfer) between single particles as well as agglomerates impacting on solid substrates are elucidated by a combination of simulations and experiments. It was found, that size-dependent material parameters can be used to describe the collision of nanoparticles with solid substrates using continuum approaches. The effect of the impaction on the restructuring and fragmentation was investigated leading towards a dry dispersion method for nanoparticle agglomerates at ambient pressure.
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Antony, S.J., Moreno-Atanasio, R., Musadaidzwa, J., Williams, R.A.: Impact fracture of composite and homogeneous nanoagglomerates. J. Nanomater. 2008, 125,386 (2008). https://doi.org/10.1155/2008/125386
Armstrong, P., Peukert, W.: Size effects in the elastic deformation behavior of metallic nanoparticles. J. Nanoparticle Res. 14, 1–13 (2012). https://doi.org/10.1007/s11051-012-1288-4
Bitter, J.G.A.: A study of erosion phenomena part 1. Wear 6(1), 5–21 (1963). https://doi.org/10.1016/0043-1648(63)90003-6
Brilliantov, N.V., Albers, N., Spahn, F., Pöschel, T.: Collision dynamics of granular particles with adhesion. Phys. Rev. E 76(5) (2007). https://doi.org/10.1103/PhysRevE.76.0513020
Brilliantov, N.V., Albers, N., Spahn, F., Pöschel, T.: Erratum: Collision dynamics of granular particles with adhesion [Physical Review e 76, 051302 (2007)]. Phys. Rev. E 87(3) (2013). https://doi.org/10.1103/PhysRevE.87.039904
Dahneke, B.: The capture of aerosol particles by surfaces. J. Colloid Interface Sci. 37(2), 342–353 (1971). https://doi.org/10.1016/0021-9797(71)90302-X
Daw, M.S., Baskes, M.I.: Embedded-atom method: derivation and application to impurities, surfaces, and other defects in metals. Phys. Rev. B 29(12), 6443–6453 (1984). https://doi.org/10.1103/PhysRevB.29.6443
Froeschke, S., Kohler, S., Weber, A.P., Kasper, G.: Impact fragmentation of nanoparticle agglomerates. J. Aerosol Sci. 34(3), 275–287 (2003). https://doi.org/10.1016/S0021-8502(02)00185-4
Gensch, M., Weber, A.: Fragmentierung von gasgetragenen Nanopartikel-Agglomeraten bei schräger Impaktion. Chem. Ing. Tech. 86(3), 270–279 (2014). https://doi.org/10.1002/cite.201300134
Gensch, M.: Mechanische Stabilität von Nanopartikel-Agglomeraten bei mechanischen Belastungen. PhD Thesis TU Clausthal, Shaker Verlag, ISBN 978-3-8440-6110-9 (2018)
Givehchi, R., Tan, Z.: An overview of airborne nanoparticle filtration and thermal rebound theory. Aerosol Air Qual. Res. 14(1), 46–63 (2014). https://doi.org/10.4209/aaqr.2013.07.0239
Halicioǧlu, T., Pound, G.M.: Calculation of potential energy parameters form crystalline state properties. Phys. Status Solidi (a) 30(2), 619–623 (1975). https://doi.org/10.1002/pssa.2210300223
Ihalainen, M., Lind, T., Ruusunen, J., Tiitta, P., Lähde, A., Torvela, T., Jokiniemi, J.: Experimental study on bounce of submicron agglomerates upon inertial impaction. Powder Technol. 268, 203–209 (2014). https://doi.org/10.1016/j.powtec.2014.08.029
Kiener, D., Minor, A.M.: Source-controlled yield and hardening of Cu(100) studied by in situ transmission electron microscopy. Acta Mater. 59(4), 1328–1337 (2011). https://doi.org/10.1016/j.actamat.2010.10.065
Kim, J.Y., Greer, J.R.: Tensile and compressive behavior of gold and molybdenum single crystals at the nano-scale. Acta Mater. 57(17), 5245–5253 (2009). https://doi.org/10.1016/j.actamat.2009.07.027
Konstandopoulos, A.G.: Particle sticking/rebound criteria at oblique impact. J. Aerosol Sci. 37(3), 292–305 (2006). https://doi.org/10.1016/j.jaerosci.2005.05.019
Kuninaka, H., Hayakawa, H.: Simulation of cohesive head-on collisions of thermally activated nanoclusters. Phys. Rev. E 79(3) (2009). https://doi.org/10.1103/PhysRevE.79.031309
Marsaglia, G.: Choosing a point from the surface of a sphere. Ann. Math. Stat. 43(2), 645–646 (1972). https://doi.org/10.1214/aoms/1177692644
Maze, B., Vahedi, H.T., Wang, Q., Pourdeyhimi, B.: A simulation of unsteady-state filtration via nanofiber media at reduced operating pressures. J. Aerosol Sci. 38(5), 550–571 (2007). https://doi.org/10.1016/j.jaerosci.2007.03.008
Miles, R.E.: On random rotations in \(\text{ R }^3\). Biometrika 52(3–4), 636–639 (1965). https://doi.org/10.1093/biomet/52.3-4.636
Müller, P., Pöschel, T.: Oblique impact of frictionless spheres: on the limitations of hard sphere models for granular dynamics. Granul. Matter 14(2), 115–120 (2012). https://doi.org/10.1007/s10035-012-0324-5
Müller, P., Pöschel, T.: Event-driven molecular dynamics of soft particles. Phys. Rev. E 87(3), 033,301 (2013). https://doi.org/10.1103/PhysRevE.87.033301
Müller, P., Krengel, D., Pöschel, T.: Negative coefficient of normal restitution. Phys. Rev. E 85(4), 041,306 (2012). https://doi.org/10.1103/PhysRevE.85.041306
Ning, Z., Boerefijn, R., Ghadiri, M., Thornton, C.: Distinct element simulation of impact breakage of lactose agglomerates. Adv. Powder Technol. 8(1), 15–37 (1997). https://doi.org/10.1016/S0921-8831(08)60477-X
Nowak, J.D., Beaber, A.R., Ugurlu, O., Girshick, S.L., Gerberich, W.W.: Small size strength dependence on dislocation nucleation. Scr. Mater. 62(11), 819–822 (2010). https://doi.org/10.1016/j.scriptamat.2010.01.026
Ostendorf, F., Schmitz, C., Hirth, S., Kühnle, A., Kolodziej, J.J., Reichling, M.: How flat is an air-cleaved mica surface? Nanotechnology 19(30), 305,705 (2008). https://doi.org/10.1088/0957-4484/19/30/305705
Pöschel, T., Müller, P.: Event-driven DEM of soft spheres. AIP Conf. Proc. 1542, 149–152 (2013). https://doi.org/10.1063/1.4811889
Pöschel, T., Brilliantov, N.V., Formella, A., Heckel, M., Krülle, C., Müller, P., Salueña, C., Schwager, T.: Contact of granular particles and the simulation of rapid flows using event-driven molecular dynamics. Eur. J. Environ. Civ. Eng. 12(7–8), 827–870 (2008). https://doi.org/10.1080/19648189.2008.9693051
Ramírez, R., Pöschel, T., Brilliantov, N.V., Schwager, T.: Coefficient of restitution of colliding viscoelastic spheres. Phys. Rev. E 60(4), 4465–4472 (1999). https://doi.org/10.1103/PhysRevE.60.4465
Rennecke, S.: Kontaktphänomene bei Hochgeschwindigkeitskollisionen von Nanopartikeln mit Oberflächen. Ph.D. thesis, TU Clausthal (2015)
Rennecke, S., Weber, A.P.: A novel model for the determination of nanoparticle impact velocity in low pressure impactors. J. Aerosol Sci. 55, 89–103 (2013). https://doi.org/10.1016/j.jaerosci.2012.07.014
Rennecke, S., Weber, A.P.: On the pressure dependence of thermal rebound. J. Aerosol Sci. 58, 129–134 (2013). https://doi.org/10.1016/j.jaerosci.2013.01.006
Rennecke, S., Weber, A.: Charge transfer to metal nanoparticles bouncing from conductive surfaces. Aerosol Sci. Technol. 48(10), 1059–1069 (2014). https://doi.org/10.1080/02786826.2014.955566
Richter, G., Hillerich, K., Gianola, D.S., Mönig, R., Kraft, O., Volkert, C.: Ultrahigh strength single crystalline nanowhiskers grown by physical vapor deposition. Nano Lett. 9(8), 3048–3052 (2009). https://doi.org/10.1021/nl9015107
Sator, N., Hietala, H.: Damage in impact fragmentation. Int. J. Fract. 163(1), 101–108 (2010). https://doi.org/10.1007/s10704-009-9406-8
Schmid, E., Boas, W.: Plasticity of Crystals. F. A. Hughes & Co Ltd., London (1950)
Schöner, C., Pöschel, T.: Orientation-dependent properties of nanoparticle impact. Phys. Rev. E 98(2), 022,902 (2018). https://doi.org/10.1103/PhysRevE.98.022902
Schöner, C., Rennecke, S., Weber, A.P., Pöschel, T.: Introduction of a new technique to measure the coefficient of restitution for nanoparticles. Chem. Ing. Tech. 86(3), 365–374 (2014). https://doi.org/10.1002/cite.201300132
Schwager, T.: Coefficient of restitution for viscoelastic disks. Phys. Rev. E 75(5), 051,305 (2007). https://doi.org/10.1103/PhysRevE.75.051305
Schwager, T., Pöschel, T.: Coefficient of normal restitution of viscous particles and cooling rate of granular gases. Phys. Rev. E 57(1), 650–654 (1998). https://doi.org/10.1103/PhysRevE.57.650
Schwager, T., Pöschel, T.: Coefficient of restitution and linear-dashpot model revisited. Granul. Matter 9(6), 465–469 (2007). https://doi.org/10.1007/s10035-007-0065-z
Schwager, T., Pöschel, T.: Coefficient of restitution for viscoelastic spheres: The effect of delayed recovery. Phys. Rev. E 78(5), 051,304 (2008). https://doi.org/10.1103/PhysRevE.78.051304
Schwager, T., Becker, V., Pöschel, T.: Coefficient of tangential restitution for viscoelastic spheres. Eur. Phys. J. E 27(1), 107–114 (2008). https://doi.org/10.1140/epje/i2007-10356-3
Seipenbusch, M., Toneva, P., Peukert, W., Weber, A.P.: Impact fragmentation of metal nanoparticle agglomerates. Part. Part. Syst. Charact. 24(3), 193–200 (2007). https://doi.org/10.1002/ppsc.200601089
Seipenbusch, M., Rothenbacher, S., Kirchhoff, M., Schmid, H.J., Kasper, G., Weber, A.P.: Interparticle forces in silica nanoparticle agglomerates. J. Nanoparticle Res. 12(6), 2037–2044 (2010). https://doi.org/10.1007/s11051-009-9760-5
Shafiei Mohammadabadi, A., Dehghani, K.: A new model for inverse Hall-Petch relation of nanocrystalline materials. J. Mater. Eng. Perform. 17(5), 662–666 (2008). https://doi.org/10.1007/s11665-008-9206-8
Subero, J., Ghadiri, M.: Breakage patterns of agglomerates. Powder Technol. 120(3), 232–243 (2001). https://doi.org/10.1016/S0032-5910(01)00276-5
Subero, J., Ning, Z., Ghadiri, M., Thornton, C.: Effect of interface energy on the impact strength of agglomerates. Powder Technol. 105(1), 66–73 (1999). https://doi.org/10.1016/S0032-5910(99)00119-9
Subero-Couroyer, C., Ghadiri, M., Brunard, N., Kolenda, F.: Analysis of catalyst particle strength by impact testing: the effect of manufacturing process parameters on the particle strength. Powder Technol. 160(2), 67–80 (2005). https://doi.org/10.1016/j.powtec.2005.08.005
Tomsic, A., Marković, N., Pettersson, J.B.C.: Scattering of ice particles from a graphite surface: a molecular dynamics simulation study. J. Phys. Chem. B 107(38), 10576–10582 (2003). https://doi.org/10.1021/jp030557b
Tsai, C.J., Pui, D.Y.H., Liu, B.Y.H.: Capture and rebound of small particles upon impact with solid surfaces. Aerosol Sci. Technol. 12(3), 497–507 (1990). https://doi.org/10.1080/02786829008959364
Vogel, L., Peukert, W.: From single particle impact behaviour to modelling of impact mills. Chem. Eng. Sci. 60(18), 5164–5176 (2005). https://doi.org/10.1016/j.ces.2005.03.064
Wang, H.C., John, W.: Dynamic contact charge transfer considering plastic deformation. J. Aerosol Sci. 19(4), 399–411 (1988). https://doi.org/10.1016/0021-8502(88)90016-X
Wang, H.C., Kasper, G.: Filtration efficiency of nanometer-size aerosol particles. J. Aerosol Sci. 22(1), 31–41 (1991). https://doi.org/10.1016/0021-8502(91)90091-U
Weber, A.P., Friedlander, S.K.: Relation between coordination number and fractal dimension of aerosol agglomerates. J. Aerosol Sci. 28, S765–S766 (1997). https://doi.org/10.1016/S0021-8502(97)85381-5
Weir, G., McGavin, P.: The coefficient of restitution for the idealized impact of a spherical, nano-scale particle on a rigid plane. Proc. R. Soc. Lond. A: Math. Phys. Eng. Sci. 464(2093), 1295–1307 (2008). https://doi.org/10.1098/rspa.2007.0289
Acknowledgements
We thank the German Research Foundation (Deutsche Forschungsgemeinschaft) for funding through the Cluster of Excellence “Engineering of Advanced Materials”, the Collaborative Research Center SFB814, and Grants No. PO472/20 and WE 2331/12-1-3. We gratefully acknowledge the computing time granted by the John von Neumann Institute for Computing and provided on the supercomputer JUROPA at Jülich Supercomputing Centre.
We thank the colleagues involved in the SPP for intensive discussion and steady support.
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Weber, A., Schöner, C., Gensch, M., Werner, A., Pöschel, T. (2019). Rapid Impact of Nanoparticles on Surfaces. In: Antonyuk, S. (eds) Particles in Contact. Springer, Cham. https://doi.org/10.1007/978-3-030-15899-6_17
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