Estimating the hinderedsettling flux function from a batch test in a cone
(2018) In Chemical Engineering Science 192. p.244253 Abstract
The hinderedsettling 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 sludgesupernatant interface (sludge blanket) as the change in height over time in a vessel with constant crosssectional area. Each such experiment provides one point on the flux curve since, under idealizing assumptions (monodisperse suspension, no walleffects), 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... (More)
The hinderedsettling 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 sludgesupernatant interface (sludge blanket) as the change in height over time in a vessel with constant crosssectional area. Each such experiment provides one point on the flux curve since, under idealizing assumptions (monodisperse suspension, no walleffects), 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.
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 author
 Bürger, Raimund ; Careaga, Julio ^{LU} ; Diehl, Stefan ^{LU} ; Merckel, Ryan and Zambrano, Jesús
 organization
 publishing date
 20181231
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Identification, Inverse problem, Partial differential equation, Sedimentation
 in
 Chemical Engineering Science
 volume
 192
 pages
 10 pages
 publisher
 Elsevier
 external identifiers

 scopus:85050301217
 ISSN
 00092509
 DOI
 10.1016/j.ces.2018.07.029
 language
 English
 LU publication?
 yes
 id
 02a90e3c6a4247f5ba1c21f0bef578aa
 date added to LUP
 20180814 10:32:37
 date last changed
 20200526 04:52:07
@article{02a90e3c6a4247f5ba1c21f0bef578aa, abstract = {<p>The hinderedsettling 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 sludgesupernatant interface (sludge blanket) as the change in height over time in a vessel with constant crosssectional area. Each such experiment provides one point on the flux curve since, under idealizing assumptions (monodisperse suspension, no walleffects), 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.</p>}, author = {Bürger, Raimund and Careaga, Julio and Diehl, Stefan and Merckel, Ryan and Zambrano, Jesús}, issn = {00092509}, language = {eng}, month = {12}, pages = {244253}, publisher = {Elsevier}, series = {Chemical Engineering Science}, title = {Estimating the hinderedsettling flux function from a batch test in a cone}, url = {http://dx.doi.org/10.1016/j.ces.2018.07.029}, doi = {10.1016/j.ces.2018.07.029}, volume = {192}, year = {2018}, }