Abstract

Under certain circumstances, an industrial hopper which operates under the funnelflow regime can be converted to the massflow regime with the addition of a flowcorrective insert. This paper is concerned with calculating granular flow patterns near the outlet of hoppers that incorporate a particular type of insert, the coneincone insert. The flow is considered to be quasistatic, and governed by the CoulombMohr yield condition together with the nondilatant doubleshearing theory. In twodimensions, the hoppers are wedgeshaped, and as such the formulation for the wedgeinwedge hopper also includes the case of asymmetrical hoppers. A perturbation approach, valid for high angles of internal friction, is used for both twodimensional and axially symmetric flows, with analytic results possible for both leading order and correction terms. This perturbation scheme is compared with numerical solutions to the governing equations, and is shown to work very well for angles of internal friction in excess of 45°. © 2005 Springer.