Center for Nonlinear Analysis
CNA Home
People
Seminars
Publications
Workshops and Conferences
CNA Working Groups
CNA Comments Form
Summer Schools
Summer Undergraduate Institute
PIRE
Cooperation
Graduate Topics Courses
SIAM Chapter Seminar
Positions
Contact |
Publication 17-CNA-011
We-Tao Wu Nadine Aubry James F. Antaki Mehrdad Massoudi Abstract: In this paper, we study the fully developed gravity-driven flow of granular materials between two inclined
plates. We assume that the granular materials can be represented by a modified form of the second grade fluid
where the viscosity depends on the shear rate and volume fraction and the normal stress coefficients depend on
the volume fraction. We also propose a new isotropic (spherical) part of the stress tensor which can be related to
the compactness of the (rigid) particles. This new term ensures that the rigid solid particles cannot be compacted
beyond a point, namely when the volume fraction has reached the critical/maximum packing value. The
numerical results indicate that the newly proposed stress tensor has obvious and physically meaningful effects on
both the velocity and the volume fraction fields.Get the paper in its entirety as 17-CNA-011.pdf |