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Perfect fluid flow from granular jet impact

Authors :
Ellowitz, Jake
Guttenberg, Nicholas
Zhang, Wendy W.
Publication Year :
2012

Abstract

Experiments on the impact of a densely-packed jet of non-cohesive grains onto a fixed target show that the impact produces an ejecta sheet comprised of particles in collimated motion. The ejecta sheet leaves the target at a well-defined angle whose value agrees quantitatively with the sheet angle produced by water jet impact. Motivated by these experiments, we examine the idealized problem of dense granular jet impact onto a frictionless target in two dimensions. Numerical results for the velocity and pressure fields within the granular jet agree quantitatively with predictions from an exact solution for 2D perfect-fluid impact. This correspondence demonstrates that the continuum limit controlling the coherent collective motion in dense granular impact is Euler flow.<br />Comment: 4 pages, 4 figures

Subjects

Subjects :
Physics - Fluid Dynamics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1201.5562
Document Type :
Working Paper