Estimating the hindered-settling flux function from a batch test in a cone

Bürger, RaimundUniversidad de Concepción, Concepción, Chile,CI2MA and Departamento de Ingeniería Matemática,University of Concepción (author)

The hindered-settling velocity function for the modelling, simulation and control of secondary settling tanks can be determined from batch tests. The conventional method is to measure the velocity of the descending sludge-supernatant interface (sludge blanket) as the change in height over time in a vessel with constant cross-sectional area. Each such experiment provides one point on the flux curve since, under idealizing assumptions (monodisperse suspension, no wall-effects), the concentration of sludge remains constant just below the sludge blanket until some wave from the bottom reaches it. A newly developed method of estimation, based on the theory of nonlinear hyperbolic partial differential equations, is applied to both synthetic and experimental data. The method demonstrates that a substantial portion of the flux function may be estimated from a single batch test in a conical vessel. The new method takes into consideration that during an ideal settling experiment in a cone, the concentration just below the sludge blanket increases with time since the mass of suspended solids occupy a reduced volume over time.

Careaga, JulioLund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)ju1665ca (author)
Diehl, StefanLund University,Lunds universitet,Numerisk analys,Forskargrupper vid Lunds universitet,Partiella differentialekvationer,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Numerical Analysis,Lund University Research Groups,Partial differential equations,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)math-sdi (author)
Merckel, RyanUniversity of Pretoria, South Africa,Department of Chemical Engineering (author)
Zambrano, JesúsMälardalen University,Mälardalens högskola,Framtidens energi(Swepub:mdh)jzo01 (author)
Universidad de Concepción, Concepción, ChileCI2MA and Departamento de Ingeniería Matemática (creator_code:org_t)

By the author/editor: Bürger, Raimund; Careaga, Julio; Diehl, Stefan; Merckel, Ryan; Zambrano, Jesús

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