| dc.date.accessioned | 2013-03-12T08:17:02Z | |
| dc.date.available | 2013-03-12T08:17:02Z | |
| dc.date.issued | 2004 | en_US |
| dc.date.submitted | 2009-11-30 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10852/10625 | |
| dc.description.abstract | The chief purpose of this paper is to formulate and partly analyze a new mathematical model for continuous sedimentation-consolidation processes of flocculated suspensions in clarifier-thickener units. This model appears in two variants for cylindrical and variable cross-sectional area units, respectively (Models 1 and 2). In both cases, the governing equation is a scalar, strongly degenerate parabolic equation in which both the convective and diffusion fluxes depend on parameters that are discontinuous functions of the depth variable. The initial-value problem for this equation is analyzed for Model 1. We introduce a simple finite-difference scheme and prove its convergence to a weak solution that satisfies an entropy condition. A limited analysis of steady states as desired stationary modes of operation is performed. Numerical examples illustrate that the model realistically describes the dynamics of flocculated suspensions in clarifier-thickeners. | eng |
| dc.language.iso | eng | en_US |
| dc.publisher | Matematisk Institutt, Universitetet i Oslo | |
| dc.relation.ispartof | Preprint series. Pure mathematics http://urn.nb.no/URN:NBN:no-8076 | en_US |
| dc.relation.uri | http://urn.nb.no/URN:NBN:no-8076 | |
| dc.rights | © The Author(s) (2004). This material is protected by copyright law. Without explicit authorisation, reproduction is only allowed in so far as it is permitted by law or by agreement with a collecting society. | |
| dc.title | A MODEL OF CONTINUOUS SEDIMENTATION OF FLOCCULATED SUSPENSIONS IN CLARIFIER-THICKENER UNITS | en_US |
| dc.type | Research report | en_US |
| dc.date.updated | 2009-11-30 | en_US |
| dc.rights.holder | Copyright 2004 The Author(s) | |
| dc.creator.author | Bürger, Raimund | en_US |
| dc.creator.author | Karlsen, Kenneth H. | en_US |
| dc.creator.author | Towers, John D. | en_US |
| dc.subject.nsi | VDP::410 | en_US |
| dc.identifier.urn | URN:NBN:no-23678 | en_US |
| dc.type.document | Forskningsrapport | en_US |
| dc.identifier.duo | 97472 | en_US |
| dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/10625/1/pm30-04.pdf | |