The solidsflux theory  Confirmation and extension by using partial differential equations.
(2008) In Water Research 42(20). p.49764988 Abstract
 The solidsflux theory has been used for half a century as a tool for estimating concentration and fluxes in the design and operation of secondary settling tanks during stationary conditions. The flux theory means that the conservation of mass is used in one dimension together with the batchsettling flux function according to the Kynch assumption. The flux theory results correspond to stationary solutions of a partial differential equation, a conservation law, with discontinuous coefficients modelling the continuoussedimentation process in one dimension. The mathematical analysis of such an equation is intricate, partly since it cannot be interpreted in the classical sense. Recent results, however, make it possible to partly confirm and... (More)
 The solidsflux theory has been used for half a century as a tool for estimating concentration and fluxes in the design and operation of secondary settling tanks during stationary conditions. The flux theory means that the conservation of mass is used in one dimension together with the batchsettling flux function according to the Kynch assumption. The flux theory results correspond to stationary solutions of a partial differential equation, a conservation law, with discontinuous coefficients modelling the continuoussedimentation process in one dimension. The mathematical analysis of such an equation is intricate, partly since it cannot be interpreted in the classical sense. Recent results, however, make it possible to partly confirm and extend the previous flux theory statements, partly draw new conclusions also on the dynamic behaviour and the possibilities and limitations for control. We use here a single example of an ideal settling tank and a given batchsettling flux in a whole series of calculations. The mathematical results are adapted towards the application and many of them are conveniently presented in terms of operating charts. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1262174
 author
 Diehl, Stefan ^{LU}
 organization
 publishing date
 2008
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Water Research
 volume
 42
 issue
 20
 pages
 4976  4988
 publisher
 Elsevier
 external identifiers

 wos:000262055900010
 pmid:18926553
 scopus:56949104343
 pmid:18926553
 ISSN
 18792448
 DOI
 10.1016/j.watres.2008.09.005
 language
 English
 LU publication?
 yes
 id
 101ffb5f464f4064a607f0196ccc6f31 (old id 1262174)
 alternative location
 http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V734TJ6F9431&_cdi=5831&_user=745831&_orig=search&_coverDate=12%2F31%2F2008&_sk=999579979&view=c&wchp=dGLbVlbzSkzV&md5=b2b5f0e708a1003b4c6d6e77f7e3463d&ie=/sdarticle.pdf
 date added to LUP
 20160401 14:39:31
 date last changed
 20200826 02:50:16
@article{101ffb5f464f4064a607f0196ccc6f31, abstract = {The solidsflux theory has been used for half a century as a tool for estimating concentration and fluxes in the design and operation of secondary settling tanks during stationary conditions. The flux theory means that the conservation of mass is used in one dimension together with the batchsettling flux function according to the Kynch assumption. The flux theory results correspond to stationary solutions of a partial differential equation, a conservation law, with discontinuous coefficients modelling the continuoussedimentation process in one dimension. The mathematical analysis of such an equation is intricate, partly since it cannot be interpreted in the classical sense. Recent results, however, make it possible to partly confirm and extend the previous flux theory statements, partly draw new conclusions also on the dynamic behaviour and the possibilities and limitations for control. We use here a single example of an ideal settling tank and a given batchsettling flux in a whole series of calculations. The mathematical results are adapted towards the application and many of them are conveniently presented in terms of operating charts.}, author = {Diehl, Stefan}, issn = {18792448}, language = {eng}, number = {20}, pages = {49764988}, publisher = {Elsevier}, series = {Water Research}, title = {The solidsflux theory  Confirmation and extension by using partial differential equations.}, url = {http://dx.doi.org/10.1016/j.watres.2008.09.005}, doi = {10.1016/j.watres.2008.09.005}, volume = {42}, year = {2008}, }