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|Title:||Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers|
|Citation:||Journal of Engineering Mathematics, 2005; 52(1):63-91|
|Publisher:||Kluwer Academic Publ|
|G.M. Cox, S.W. Mccue, N. Thamwattana and J.M. Hill|
|Abstract:||Under certain circumstances, an industrial hopper which operates under the “funnel-flow” regime can be converted to the “mass-flow” regime with the addition of a flow-corrective insert. This paper is concerned with calculating granular flow patterns near the outlet of hoppers that incorporate a particular type of insert, the cone-in-cone insert. The flow is considered to be quasi-static, and governed by the Coulomb–Mohr yield condition together with the non-dilatant double-shearing theory. In two-dimensions, the hoppers are wedge-shaped, and as such the formulation for the wedge-in-wedge hopper also includes the case of asymmetrical hoppers. A perturbation approach, valid for high angles of internal friction, is used for both two-dimensional 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°.|
|Keywords:||asymmetric hoppers; Coulomb-Mohr yield condition; granular flow; hopper inserts; perturbation solution|
|Rights:||© Springer 2005|
|Appears in Collections:||Mathematical Sciences publications|
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