Analytical solutions for dense, inclined, granular flow over a rigid, bumpy base

Collapse of granular-liquid mixtures over rigid, inclined beds.

This work deals with the propagation of granular-liquid waves over rigid beds, originated by the sudden removal of a sluice gate in a rectangular, inclined flume. In particular, we experimentally investigate the role of the initial volume ratio of granular material-monodispersed plastic cylinders-to water, the flume width, and the bed roughness on the time evolution of the granular front. Due t...

Model for dense granular flows down bumpy inclines.

We consider dense flows of spherical grains down an inclined plane on which spherical bumps have been affixed. We propose a theory that models stresses as the superposition of a rate-dependent contribution arising from collisional interactions and a rate-independent part related to enduring frictional contacts among the grains. We show that dense flows consist of three regions. The first is a t...

Dirichlet series and approximate analytical solutions of MHD flow over a linearly stretching ‎sheet

The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (NODE) by using a classical similarity transformation along with appropriate boundary cond...

Dense granular flow — A collaborative study

a Procter & Gamble Co., Cincinnati, OH, USA b Department of Chemical Engineering, University of Delaware, Newark, DE, USA c International Fine Particle Research Institute, Wilmington, DE, USA d Department of Physics, Center for Nonlinear and Complex Systems, Duke University, Durham, NC, USA e Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA, USA f Departm...

A New Simple Analytical Model for Flow Analysis Over Slender Delta Wings