When a dry non cohesive granular material confined in a box in such a way that the initial profile of the free surface is a horizontal plane and it is accelerated uniformly, the final equilibrium profile changes to a tilted straight plane whose slope is a function of the magnitude of the acceleration, the magnitude of the gravity acceleration and the friction coefficient of the granular material. Here are presented a simple model, based on the Coulomb’s law, that describes correctly such a deformation and some experiments that back the theoretical predictions.
Free Surface Friction Coefficient Granular Material Mustard Seed Initial Profile
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Álvarez VS (2011) Fricción en silos y vehículos acelerados con carga granular. Master Science Thesis, Higher School of Electric and Mechanics Engineering, IPNGoogle Scholar
Aradian A, Raphaël É, de Gennes PG (2002) Surface flows of granular materials: a short introduction to some recent models. C R Physique 3:187–196CrossRefGoogle Scholar
Bernoulli D (1968) Hydrodynamics (Dover, New York) translation by Thomas Carmody from hydrodynamica as published by Johann Reinhold Dulseker at Strassburg in 1738Google Scholar
Fleissner FD, Alessandro V, Schiehlen W, Eberhard P (2009) Sloshing cargo in silo vehicles. J Mech Sci Tech 23:968–973CrossRefGoogle Scholar
Krim J (2002) Friction at macroscopic and microscopic length scales. Am J Phys 70:890–897CrossRefGoogle Scholar
Medina A, Luna E, Alvarado R, Treviño C (1995) Axisymmetrical rotation of a sand heap. Phys Rev E 51:4621–4625CrossRefGoogle Scholar
Rumold W (2001) Modeling and simulation of vehicles carrying liquid cargo. Multibody Syst Dyn 5:351–374CrossRefGoogle Scholar
Shinbrot T, Duong NH, Hettenbach M, Kwan L (2007) Coexisting static and flowing regions in a centrifuging granular heap. Granul Matter 9:295–307CrossRefGoogle Scholar
Vavrek ME, Baxter GW (1994) Surface shape of a spinning bucket of sand. Phys Rev E 50:R3353–3356CrossRefGoogle Scholar
White FM (1994) Fluid mechanics, 3rd edn. McGraw-Hill, New YorkGoogle Scholar
Yamane K, Nakagawa M, Altobelli SA, Tanaka T, Tsuji Y (1998) Steady particulate flows in a horizontal rotating cylinder. Phy Fluids 10:1419–1427CrossRefGoogle Scholar