On the computation of steady Hopper flows: II: von Mises materials in various geometries |
| |
Authors: | Pierre A Gremaud John V Matthews Meghan O'Malley |
| |
Institution: | a Department of Mathematics and Center for Research in Scientific Computation, North Carolina State University, Box 8205, Raleigh, NC 27695-8205, USA;b Department of Mathematics, Duke University, Durham, NC 27708-0320, USA |
| |
Abstract: | Similarity solutions are constructed for the flow of granular materials through hoppers. Unlike previous work, the present approach applies to nonaxisymmetric containers. The model involves ten unknowns (stresses, velocity, and plasticity function) determined by nine nonlinear first order partial differential equations together with a quadratic algebraic constraint (yield condition). A pseudospectral discretization is applied; the resulting problem is solved with a trust region method. The important role of the hopper geometry on the flow is illustrated by several numerical experiments of industrial relevance. |
| |
Keywords: | Elliptic Granular Similarity Spectral |
本文献已被 ScienceDirect 等数据库收录! |
|