{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T15:58:37Z","timestamp":1777910317054,"version":"3.51.4"},"reference-count":43,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2017,1,24]],"date-time":"2017-01-24T00:00:00Z","timestamp":1485216000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2018,2]]},"abstract":"<jats:p>This work treats the physical one-dimensional (1D) and two-dimensional (2D) modelling of a chemical process of filtration of slurry, which is the second step of phosphoric acid manufacture. This work focuses on the different physical laws involved in the filtration stage in order to obtain a simulator of the filter. In this work, we are interested in the 1D modelling of a rotary filter using all parameters and physical phenomena established in the filtration phase. Then, a 2D model emerged from the previous model by choosing both a temporal and a spatial variable. These two parameters are quite necessary for the construction of a 2D model based on the method of Fornasini\u2013Marchesini (FM-II) to describe the dynamics of the system.<\/jats:p>","DOI":"10.1177\/0142331216681401","type":"journal-article","created":{"date-parts":[[2017,1,24]],"date-time":"2017-01-24T17:38:22Z","timestamp":1485279502000},"page":"1309-1319","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["1D and 2D modelling of a chemical process using the FM-II model: Rotary drum filter"],"prefix":"10.1177","volume":"40","author":[{"given":"Sameh","family":"Ben Mohamed","sequence":"first","affiliation":[{"name":"National School of Engineers of Gabes, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Boumedyen","family":"Boussaid","sequence":"additional","affiliation":[{"name":"National School of Engineers of Gabes, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed Naceur","family":"Abdelkrim","sequence":"additional","affiliation":[{"name":"National School of Engineers of Gabes, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Charfeddine","family":"Tahri","sequence":"additional","affiliation":[{"name":"Tunisian Chemical Group, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,1,24]]},"reference":[{"key":"bibr1-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(85)90033-7"},{"key":"bibr2-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1985.1085662"},{"key":"bibr3-0142331216681401","first-page":"1268","volume":"3","author":"Bisiacco M","year":"2015","journal-title":"WSEAS Transactions on Circuits and Systems"},{"key":"bibr4-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90653-8"},{"key":"bibr5-0142331216681401","first-page":"168","volume":"16","author":"Carman PC","year":"1938","journal-title":"Transactions of Institution of Chemical Engineers"},{"key":"bibr6-0142331216681401","volume-title":"Modelisation des processus biogochimiques dans les sediments variablement satures soumis au forage de la maree","author":"Chassagne R","year":"2010"},{"key":"bibr7-0142331216681401","unstructured":"Chen S (1999) Two-dimensional web property variation modeling and control.\n                      U.S. Patent\n                      No. 5,893,055."},{"key":"bibr8-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2014.2299353"},{"key":"bibr9-0142331216681401","volume-title":"H1 Control and Filtering of Two-Dimensional Systems","author":"Du CL","year":"2002"},{"key":"bibr10-0142331216681401","volume-title":"Integration d\u2019outils de simulation et d\u2019optimisation pour le pilotage d\u2019une ligne d\u2019assemblage multiproduit transfert asynchrone.","author":"Fontanili F","year":"1999"},{"key":"bibr11-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1976.1101305"},{"key":"bibr12-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1007\/BF01776566"},{"key":"bibr13-0142331216681401","first-page":"17","volume":"16","author":"Fornasini E","year":"1990","journal-title":"Systems and Control Letters"},{"key":"bibr14-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.04.014"},{"key":"bibr15-0142331216681401","volume-title":"Modeling and estimation Robust activated sludge process for alternately phases","author":"Gomez\u2013Quintero C","year":"2002"},{"key":"bibr16-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1109\/81.219824"},{"key":"bibr17-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1155\/2008\/356124"},{"key":"bibr18-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0221-2"},{"key":"bibr19-0142331216681401","volume-title":"Two-Dimensional Linear Systems","author":"Kaczorek T","year":"2006"},{"key":"bibr20-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.165"},{"key":"bibr21-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1983.1103189"},{"key":"bibr22-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2013.823671"},{"key":"bibr23-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1007\/s11045-012-0197-0"},{"key":"bibr24-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.2869"},{"key":"bibr25-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.797"},{"key":"bibr26-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.08.026"},{"key":"bibr27-0142331216681401","volume-title":"Ecoulements dans les milieux poreux","author":"Nicolas M","year":"2003"},{"key":"bibr28-0142331216681401","first-page":"824","volume-title":"IEEE International Symposium on Circuits and Systems (ISCAS)","author":"Paran S","year":"2004"},{"key":"bibr29-0142331216681401","first-page":"536","volume":"4","author":"Pei L","year":"2007","journal-title":"Chinese Journal of Industrial Water and Wastewater"},{"key":"bibr30-0142331216681401","author":"Peter S","year":"2015","journal-title":"arXiv preprint arXiv:1506.04561"},{"key":"bibr31-0142331216681401","volume-title":"Mod\u00e9lisation des \u00e9coulement en milieux poreux h\u00e9t\u00e9rog\u00e9nes: Calcul des perm\u00e9abilit\u00e9\u00e9quivalentes","author":"Renard PH","year":"1996"},{"key":"bibr32-0142331216681401","volume-title":"Predicting the coefficient of permeability of soils using the Kozeny\u2013Carman equation","author":"Robert PC","year":"2003"},{"key":"bibr33-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.176"},{"key":"bibr34-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2012.09.024"},{"key":"bibr35-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1007\/s00021-004-0139-1"},{"key":"bibr36-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1973.1100215"},{"key":"bibr37-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-13698-1"},{"key":"bibr38-0142331216681401","first-page":"73","volume-title":"Proceedings of 2010 IEEE 2nd Conference on Environmental Science and Information Application Technology (ESIAT)","author":"Wu Y","year":"2010"},{"key":"bibr39-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2011.11.011"},{"key":"bibr40-0142331216681401","first-page":"631","volume":"3","author":"Xu L","year":"2005","journal-title":"International Journal of Control, Automation, and Systems"},{"key":"bibr41-0142331216681401","first-page":"289","volume-title":"IEEE International Symposium on Circuits and Systems (ISCAS)","author":"Xu L","year":"2004"},{"key":"bibr42-0142331216681401","volume-title":"Proc\u00e9d\u00e9 de s\u00e9paration menbranaire: Application dans l\u2019industrie alimentaire","author":"Zart A","year":"2008"},{"key":"bibr43-0142331216681401","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2014.10.026"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331216681401","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331216681401","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331216681401","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:54:39Z","timestamp":1777647279000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331216681401"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,24]]},"references-count":43,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2018,2]]}},"alternative-id":["10.1177\/0142331216681401"],"URL":"https:\/\/doi.org\/10.1177\/0142331216681401","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1,24]]}}}