Stresses in bulk solids in wedge hoppers: A flexible formulation of the co-ordinate specific, Lame-Maxwell equations for circular arc, principal stress systems

Hdl Handle:
http://hdl.handle.net/10149/95298
Title:
Stresses in bulk solids in wedge hoppers: A flexible formulation of the co-ordinate specific, Lame-Maxwell equations for circular arc, principal stress systems
Authors:
Matchett, A. J. (Andrew); O'Neill, J. C.; Shaw, A. P. (Alan)
Affiliation:
University of Teesside. School of Science and Technology.
Citation:
Matchett, A. J., O'Neill, J. C. and Shaw, A. P. (2009) 'Stresses in bulk solids in wedge hoppers: A flexible formulation of the co-ordinate specific, Lame-Maxwell equations for circular arc, principal stress systems', Powder Technology, 194 (3), pp.166-180.
Publisher:
Elsevier
Journal:
Powder Technology
Issue Date:
Sep-2009
URI:
http://hdl.handle.net/10149/95298
DOI:
10.1016/j.powtec.2009.04.002
Abstract:
A 2-D model of stress distribution within bulk solids, with circular arc principal stress orientation, in a wedge hopper was developed in a previous paper [Matchett, O'Neill, & Shaw, Stress distributions in 2-dimensional, wedge hoppers with circular arc stress orientation - a co-ordinate-specific Lamé-Maxwell model, Powder Technology, 187(2008) 298-306]. This model worked in an orthogonal, curvilinear co-ordinate system co-incident with the principal stress trajectories: (x - ψo) space. This paper presents an equivalent model in (x - ε) space. This allows backward numerical integration of the force balance equations, enabling surface and wall boundary conditions to be modelled. This was not possible in the original model. The equations are first-order, and boundary conditions can only be specified at single surfaces. Thus, if a stable, cohesive arch is proposed, the surface overpressure is determined by the model. Calculated overpressures have reasonable physical values. The present model was integrated backwards from the surface downwards and it was found that the integration was very sensitive to the surface overpressure stresses. Likewise, wall boundary conditions were specified with backwards integration in ε. The minimum outlet for flow was calculated from the model and compared with the experimental data of Berry et al. Wall normal stresses in a wedge hopper from Schulze and Schwedes were also compared to model predictions. In both cases there was reasonable agreement between measurements and model predictions.
Type:
Article
Language:
en
Keywords:
bulk solids; hopper; silo; storage; stresses
ISSN:
0032-5910
Rights:
Author can archive post-print (ie final draft post-refereeing). For full details see http://www.sherpa.ac.uk/romeo/ [Acessed 30/03/2010]
Citation Count:
0 [Scopus, 30/03/2010]

Full metadata record

DC FieldValue Language
dc.contributor.authorMatchett, A. J. (Andrew)en
dc.contributor.authorO'Neill, J. C.en
dc.contributor.authorShaw, A. P. (Alan)en
dc.date.accessioned2010-03-30T15:54:30Z-
dc.date.available2010-03-30T15:54:30Z-
dc.date.issued2009-09-
dc.identifier.citationPowder Technology; 194 (3): 166-180en
dc.identifier.issn0032-5910-
dc.identifier.doi10.1016/j.powtec.2009.04.002-
dc.identifier.urihttp://hdl.handle.net/10149/95298-
dc.description.abstractA 2-D model of stress distribution within bulk solids, with circular arc principal stress orientation, in a wedge hopper was developed in a previous paper [Matchett, O'Neill, & Shaw, Stress distributions in 2-dimensional, wedge hoppers with circular arc stress orientation - a co-ordinate-specific Lamé-Maxwell model, Powder Technology, 187(2008) 298-306]. This model worked in an orthogonal, curvilinear co-ordinate system co-incident with the principal stress trajectories: (x - ψo) space. This paper presents an equivalent model in (x - ε) space. This allows backward numerical integration of the force balance equations, enabling surface and wall boundary conditions to be modelled. This was not possible in the original model. The equations are first-order, and boundary conditions can only be specified at single surfaces. Thus, if a stable, cohesive arch is proposed, the surface overpressure is determined by the model. Calculated overpressures have reasonable physical values. The present model was integrated backwards from the surface downwards and it was found that the integration was very sensitive to the surface overpressure stresses. Likewise, wall boundary conditions were specified with backwards integration in ε. The minimum outlet for flow was calculated from the model and compared with the experimental data of Berry et al. Wall normal stresses in a wedge hopper from Schulze and Schwedes were also compared to model predictions. In both cases there was reasonable agreement between measurements and model predictions.en
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAuthor can archive post-print (ie final draft post-refereeing). For full details see http://www.sherpa.ac.uk/romeo/ [Acessed 30/03/2010]en
dc.subjectbulk solidsen
dc.subjecthopperen
dc.subjectsiloen
dc.subjectstorageen
dc.subjectstressesen
dc.titleStresses in bulk solids in wedge hoppers: A flexible formulation of the co-ordinate specific, Lame-Maxwell equations for circular arc, principal stress systemsen
dc.typeArticleen
dc.contributor.departmentUniversity of Teesside. School of Science and Technology.en
dc.identifier.journalPowder Technologyen
ref.citationcount0 [Scopus, 30/03/2010]en
or.citation.harvardMatchett, A. J., O'Neill, J. C. and Shaw, A. P. (2009) 'Stresses in bulk solids in wedge hoppers: A flexible formulation of the co-ordinate specific, Lame-Maxwell equations for circular arc, principal stress systems', Powder Technology, 194 (3), pp.166-180.-
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