Dynamics of Granular Heaplets: A Phenomenological Model

Autor:	R L Jacobs, Yong Kheng Goh
Rok vydání:	2004
Předmět:	Diffusion equation Partial differential equation Continuity equation Differential equation Mathematical analysis Phenomenological model First-order partial differential equation Fokker–Planck equation Curvature Mathematics
Zdroj:	Computational Science-ICCS 2004 ISBN: 9783540221159 International Conference on Computational Science
Popis:	When a discrete granular layer on a uniform substrate is tapped from beneath the material piles up into discrete heaps which gradually coarsen. We investigate the relaxation dynamics of the heaping process. We present a non-linear phenomenological partial differential equation to describe the formation of the heaplets. This equation is derived from the continuity equation for a diffusive powder system and from a constitutive equation giving the current as the sum of three terms: the first proportional to the gradient of the height profile with a limiting factor, the second related to the average curvature of the heap surface and the third related to the Gaussian curvature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ea43d9c256988f693ced363c5a06c84c https://doi.org/10.1007/978-3-540-24687-9_42 Zobrazit plný text záznamu