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Starting from the hydrodynamic equations of binary granular mixtures, we derive an evolution equation for the relative velocity of the intruders, which is shown to be coupled to the inertia of the smaller particles. The onset of Brazil-nut…

Soft Condensed Matter · Physics 2009-11-10 L. Trujillo , M. Alam , H. J. Herrmann

Vertical shaking of a mixture of small and large beads can lead to segregation where the large beads either accumulate at the top of the sample, the so called Brazil Nut effect (BNE), or at the bottom, the Reverse Brazil Nut effect (RBNE).…

Disordered Systems and Neural Networks · Physics 2008-01-13 Stephan Ulrich , Matthias Schröter , Harry L. Swinney

A granular mixture of particles of two sizes that is shaken vertically will in most cases segregate. If the larger particles accumulate at the top of the sample, this is called the Brazil-nut effect (BNE); if they accumulate at the bottom,…

Soft Condensed Matter · Physics 2009-11-11 M. Schröter , S. Ulrich , J. Kreft , J. B. Swift , H. L. Swinney

A new segregation criterion based on the inelastic Enskog kinetic equation is derived to show the transition between the Brazil-nut effect (BNE) and the reverse Brazil-nut effect (RBNE) by varying the different parameters of the system. In…

Statistical Mechanics · Physics 2008-09-03 Vicente Garzo

We present a hydrodynamic theoretical model for "Brazil nut" size segregation in granular materials. We give analytical solutions for the rise velocity of a large intruder particle immersed in a medium of monodisperse fluidized small…

Statistical Mechanics · Physics 2009-11-07 L. Trujillo , H. J. Herrmann

This paper presents the experiments and simulations on the resonance-induced acceleration of the reverse Brazil nut effect (RBNE)-Brazil nut effect (BNE) segregation inversion of binary mixtures in flat-bottom and circular-bottom…

Soft Condensed Matter · Physics 2022-09-19 Yufei Shao , Anghao Li , Zaizheng Wang , Min Sun , Decai Huang

The size-segregation of granular materials, a process colloquially known as the Brazil Nut Effect, has generally been thought to proceed faster the greater the size difference of the particles. We experimentally investigate sheared…

Soft Condensed Matter · Physics 2015-05-13 Laura A. Golick , Karen E. Daniels

A binary mixture of particles interacting via long-ranged repulsive forces is studied in gravity by computer simulation and theory. The more repulsive A-particles create a depletion zone of less repulsive B-particles around them reminiscent…

Soft Condensed Matter · Physics 2015-06-03 Tobias Kruppa , Tim Neuhaus , René Messina , Hartmut Löwen

We numerically and experimentally study the segregation dynamics in a binary mixture of microswimmers which move on a two-dimensional substrate in a static periodic triangular-like light intensity field. The motility of the active particles…

Soft Condensed Matter · Physics 2019-03-27 Soudeh Jahanshahi , Celia Lozano , Borge ten Hagen , Clemens Bechinger , Hartmut Löwen

Based on the Boltzmann-Enskog kinetic theory, we develop a hydrodynamic theory for the well known (reverse) Brazil nut segregation in a vibro-fluidized granular mixture. Using an analogy with standard fluid mechanics, we have recently…

Soft Condensed Matter · Physics 2008-02-04 Meheboob Alam , Leonardo Trujillo , Hans J. Herrmann

We present extensive Molecular Dynamics simulations on species segregation in a granular mixture subject to vertical taps. We discuss how grain properties, e.g., size, density, friction, as well as, shaking properties, e.g., amplitude and…

Soft Condensed Matter · Physics 2007-05-23 M. Pica Ciamarra , M. D. De Vizia , A. Fierro , M. Tarzia , A. Coniglio , M. Nicodemi

In the Brazil nut problem (BNP), hard spheres with larger diameters rise to the top. There are various explanations (percolation, reorganization, convection), but a broad understanding or control of this effect is by no means acheived. A…

Materials Science · Physics 2009-10-31 Daniel C. Hong , Paul V. Quinn , Stefan Luding

Inspired by the theoretical prediction [Phys. Rev. Lett. 86, 3423 (2001)] and the disputed experimental results [Phys. Rev. Lett. 89, 189601(2002), Phys. Rev. Lett. 90, 014302 (2003)], we systematically investigate the pattern of binary…

Soft Condensed Matter · Physics 2017-01-25 Yahya Sandali , Cheng Xu , Ning Zheng , Gang Sun , Qingfan Shi

It is demonstrated that the minimization of the free energy functional for hard spheres and hard disks yields the result that excited granular materials under gravity segregate not only in the widely known "Brazil nut" fashion, i.e. with…

Statistical Mechanics · Physics 2009-11-07 Joseph A. Both , Daniel C. Hong

Rising motion of an obstacle in a vibrated granular medium is a classic problem of granular segregation, and called the Brazil nut (BN) effect. The controlling vibration parameters of the effect has been a long-standing problem. A simple…

Soft Condensed Matter · Physics 2020-08-06 Hui Zee Then , Teruyo Sekiguchi , Ko Okumura

This paper investigates the influence of filling fraction on segregation patterns of binary granular mixtures in a vertically vibrating drum through experiments and simulations. Glass and stainless steel spherical grains, which differ in…

Soft Condensed Matter · Physics 2025-04-15 Anghao Li , Zaizheng Wang , Haoyu Shi , Min Sun , Decai Huang

We investigate the segregation of a dense binary mixture of granular particles that only differ in their restitution coefficient. The mixture is vertically vibrated in the presence of gravity. We find a partial segregation of the species,…

Statistical Mechanics · Physics 2009-11-13 R. Brito , H. Enríquez , S. Godoy , R. Soto

Sedimentation is a ubiquitous phenomenon across many fields of science, such as geology, astrophysics, and soft matter. Sometimes, sedimentation leads to unusual phenomena, such as the Brazil-nut effect, where heavier (granular) particles…

Soft Condensed Matter · Physics 2023-08-21 Marjolein N. van der Linden , Jeffrey C. Everts , René van Roij , Alfons van Blaaderen

We study segregation patterns in a hard sphere binary model under gravity subject to sequences of taps. We discuss the appearance of the ``Brazil nut'' effect (where large particles move up) and the ``reverse Brazil nut'' effects in the…

Statistical Mechanics · Physics 2009-11-07 Mario Nicodemi , Annalisa Fierro , Antonio Coniglio

We study bidisperse suspensions -- suspensions where there are two particle species of the same density but different sizes -- of a viscous fluid on an incline. We use a lubrication theory/thin film model to form a hyperbolic system of…

Fluid Dynamics · Physics 2025-06-02 Jack Luong , Sarah Cassie Burnett , Andrea L. Bertozzi
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