Relevance of system size to the steady state properties of tapped granular systems

We investigate the steady-state packing fraction ϕ and force moment tensor Σ of quasi-two-dimensional granular columns subjected to tapping. Systems of different height h and width L are considered. We find that ϕ and Σ, which describe the macroscopic state of the system, are insensitive to L for L&...

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Detalles Bibliográficos
Autores: Gago, Paula, Maza, Diego, Pugnaloni, Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Institución:Universidad Tecnológica Nacional
Repositorio:Repositorio Institucional Abierto (UTN)
Idioma:inglés
OAI Identifier:oai:ria.utn.edu.ar:20.500.12272/2793
Acceso en línea:http://hdl.handle.net/20.500.12272/2793
Access Level:acceso abierto
Palabra clave:system size to the steady state properties; tapped granular systems
Descripción
Sumario:We investigate the steady-state packing fraction ϕ and force moment tensor Σ of quasi-two-dimensional granular columns subjected to tapping. Systems of different height h and width L are considered. We find that ϕ and Σ, which describe the macroscopic state of the system, are insensitive to L for L>50d (with d the grain diameter). However, results for granular columns of different heights cannot be conciliated. This suggests that comparison between results of different laboratories on this type of experiments can be done only for systems of same height. We show that a parameter ɛ=1+(Aω)2/(2gh), with A and ω the amplitude and frequency of the tap and g the acceleration of gravity, can be defined to characterize the tap intensity. This parameter is based on the effective flight of the granular bed, which takes into account the h dependency. When ϕ is plotted as a function of ɛ, the data collapses for systems of different h. However, this parameter alone is unable to determine the steady state to be reached since different Σ can be observed for a given ɛ if different column heights are considered.