Optimal design of non-dispersive solvent extraction processes
The purpose of this paper is to carry out the optimal design of a non-dispersive solvent extraction (NDSX) process for the removal and recovery of chromium from waste waters of surface treatment industries. The objective is to design a process that can separate the waste stream into an environmental...
Uložené v:
| Vydané v: | Computers & chemical engineering Ročník 25; číslo 2; s. 267 - 285 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier Ltd
15.03.2001
|
| Predmet: | |
| ISSN: | 0098-1354, 1873-4375 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | The purpose of this paper is to carry out the optimal design of a non-dispersive solvent extraction (NDSX) process for the removal and recovery of chromium from waste waters of surface treatment industries. The objective is to design a process that can separate the waste stream into an environmentally acceptable stream with a low chromium concentration and a stream in which chromium is concentrated for further processing. A superstructure of the problem which is rich enough to account for all potential configurations and connectivity of the system is proposed. The problem is formulated as a MINLP optimisation problem to minimise the total cost of the process subject to design specifications and is solved using an Outer Approximation algorithm. The nonconvexivity of the problem due to bilinear terms in the model equations makes necessary the reformulation of the nonconvex equations into linear inequalities. Three different approaches are tried for this reformulation. A bound tightening strategy based on the application of branch and bound methods to the Outer Approximation algorithm is shown to be the most effective approach. |
|---|---|
| AbstractList | The purpose of this paper is to carry out the optimal design of a non-dispersive solvent extraction (NDSX) process for the removal and recovery of chromium from waste waters of surface treatment industries. The objective is to design a process that can separate the waste stream into an environmentally acceptable stream with a low chromium concentration and a stream in which chromium is concentrated for further processing. A superstructure of the problem which is rich enough to account for all potential configurations and connectivity of the system is proposed. The problem is formulated as a MINLP optimisation problem to minimise the total cost of the process subject to design specifications and is solved using an Outer Approximation algorithm. The nonconvexivity of the problem due to bilinear terms in the model equations makes necessary the reformulation of the nonconvex equations into linear inequalities. Three different approaches are tried for this reformulation. A bound tightening strategy based on the application of branch and bound methods to the Outer Approximation algorithm is shown to be the most effective approach. |
| Author | Lassahn, André Alonso, Ana I. Gruhn, Günter |
| Author_xml | – sequence: 1 givenname: Ana I. surname: Alonso fullname: Alonso, Ana I. – sequence: 2 givenname: André surname: Lassahn fullname: Lassahn, André – sequence: 3 givenname: Günter surname: Gruhn fullname: Gruhn, Günter email: gruhn@tu-harburg.de |
| BookMark | eNqFkE1Lw0AURQepYFv9CUKWuoi-SWYmE0REil9Q6EJdD5OXFxmJSZgZiv77pq24cNPV27xzuPfO2KTrO2LsnMMVB66uXwFKnfJciguASwAls7Q8YlOuizwVeSEnbPr3csJmIXwCQCa0nrLb1RDdl22TmoL76JK-SUZ7WrswkA9uTUno2zV1MaHv6C1G13fJ4HukECicsuPGtoHOfu-cvT8-vC2e0-Xq6WVxv0wxFyKmimeqVk3FrSSuEXTRVGWdF5nK0KKuyso2KLgm4AU1GixIFGUurUDFBa_zObvZe9H3IXhqDLpot1nGTK41HMx2CbNbwmxrGgCzW8KUIy3_0YMfO_ufg9zdnqOx2tqRNwEddUi184TR1L07YNgAGad4qA |
| CitedBy_id | crossref_primary_10_1016_j_compchemeng_2006_06_011 crossref_primary_10_1002_aic_16738 crossref_primary_10_1016_j_desal_2005_10_020 crossref_primary_10_1016_j_hydromet_2003_10_005 crossref_primary_10_1016_j_hydromet_2015_02_004 crossref_primary_10_1205_095758203770224397 crossref_primary_10_1016_S0098_1354_01_00776_1 crossref_primary_10_1081_SS_120000327 crossref_primary_10_1016_S0098_1354_03_00178_9 crossref_primary_10_1038_s41598_021_97379_0 |
| Cites_doi | 10.1016/S0098-1354(98)00286-5 10.1007/BF02592064 10.1016/S0376-7388(99)00040-X 10.1016/0098-1354(94)00097-2 10.1002/(SICI)1521-4125(199808)21:8<637::AID-CEAT637>3.0.CO;2-U 10.1080/01496399708004065 10.1016/S0098-1354(00)00580-9 10.1016/S0098-1354(97)87551-5 10.1016/0376-7388(95)00228-6 10.1016/0098-1354(95)00072-A 10.1021/ie950433o 10.1021/ie980288p 10.1016/0376-7388(96)00094-4 10.1016/0098-1354(94)00123-5 |
| ContentType | Journal Article |
| Copyright | 2001 Elsevier Science Ltd |
| Copyright_xml | – notice: 2001 Elsevier Science Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/S0098-1354(00)00652-9 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1873-4375 |
| EndPage | 285 |
| ExternalDocumentID | 10_1016_S0098_1354_00_00652_9 S0098135400006529 |
| GroupedDBID | --K --M .DC .~1 0R~ 1B1 1~. 1~5 29F 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKC AAIKJ AAKOC AALRI AAMNW AAOAW AAQFI AAQXK AAXUO ABFNM ABJNI ABMAC ABNUV ABTAH ABXDB ABYKQ ACDAQ ACGFS ACNNM ACRLP ADBBV ADEWK ADEZE ADMUD ADTZH AEBSH AECPX AEKER AENEX AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHPOS AI. AIEXJ AIKHN AITUG AJBFU AJOXV AKURH ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BBWZM BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD ENUVR EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA HLY HLZ HVGLF HZ~ IHE J1W JJJVA KOM LG9 LX7 M41 MO0 N9A NDZJH O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SBC SCE SDF SDG SDP SES SEW SPC SPCBC SSG SST SSZ T5K VH1 WUQ ZY4 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD |
| ID | FETCH-LOGICAL-c344t-6126d6fb1a5e18c087fb9d37262cac8b9bafc418e017ef80a05c4935a4c6141d3 |
| ISICitedReferencesCount | 15 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000167950000006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0098-1354 |
| IngestDate | Sat Nov 29 05:10:33 EST 2025 Tue Nov 18 22:21:41 EST 2025 Fri Feb 23 02:27:16 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | Membrane extraction MINLP Process synthesis Process optimisation |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c344t-6126d6fb1a5e18c087fb9d37262cac8b9bafc418e017ef80a05c4935a4c6141d3 |
| PageCount | 19 |
| ParticipantIDs | crossref_citationtrail_10_1016_S0098_1354_00_00652_9 crossref_primary_10_1016_S0098_1354_00_00652_9 elsevier_sciencedirect_doi_10_1016_S0098_1354_00_00652_9 |
| PublicationCentury | 2000 |
| PublicationDate | 2001-03-15 |
| PublicationDateYYYYMMDD | 2001-03-15 |
| PublicationDate_xml | – month: 03 year: 2001 text: 2001-03-15 day: 15 |
| PublicationDecade | 2000 |
| PublicationTitle | Computers & chemical engineering |
| PublicationYear | 2001 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Gruhn, Noronha (BIB8) 1998; 21 Ihobe (BIB10) 1997 Gabelman, Hwang (BIB6) 1999; 159 Grossmann, Kravanja (BIB7) 1995; 19 Noronha, Gruhn, Kravanja (BIB11) 1997; 21 Ryoo, Sahidinis (BIB17) 1995; 19 Ortiz, Galán, Irabien (BIB13) 1996; 35 Ho, Sirkar (BIB9) 1992 Ortiz, Galán, Irabien (BIB12) 1996; 118 Alonso, Galán, Irabien, Ortiz (BIB2) 1997; 32 Quesada, Grossmann (BIB15) 1995; 19 Duran, Grossmann (BIB4) 1986; 36 Alonso, Pantelides (BIB3) 1996; 110 Reed, Semmens, Cussler (BIB16) 1995 Eliceche A.M., Alonso A.I., Ortiz I., (2000). Optimal operation of selective membrane separation processes for wastewater treatment, Computers and Chemical Engineering 24, 2115. Smith, Pantelides (BIB18) 1999; 23 Prasad, Sirkar (BIB14) 1992 Alonso, Galán, González, Ortiz (BIB1) 1999; 38 Alonso (10.1016/S0098-1354(00)00652-9_BIB3) 1996; 110 Quesada (10.1016/S0098-1354(00)00652-9_BIB15) 1995; 19 Prasad (10.1016/S0098-1354(00)00652-9_BIB14) 1992 Grossmann (10.1016/S0098-1354(00)00652-9_BIB7) 1995; 19 Ihobe (10.1016/S0098-1354(00)00652-9_BIB10) 1997 Smith (10.1016/S0098-1354(00)00652-9_BIB18) 1999; 23 Ho (10.1016/S0098-1354(00)00652-9_BIB9) 1992 Ortiz (10.1016/S0098-1354(00)00652-9_BIB12) 1996; 118 Gruhn (10.1016/S0098-1354(00)00652-9_BIB8) 1998; 21 Noronha (10.1016/S0098-1354(00)00652-9_BIB11) 1997; 21 Duran (10.1016/S0098-1354(00)00652-9_BIB4) 1986; 36 Alonso (10.1016/S0098-1354(00)00652-9_BIB2) 1997; 32 10.1016/S0098-1354(00)00652-9_BIB5 Ortiz (10.1016/S0098-1354(00)00652-9_BIB13) 1996; 35 Alonso (10.1016/S0098-1354(00)00652-9_BIB1) 1999; 38 Reed (10.1016/S0098-1354(00)00652-9_BIB16) 1995 Ryoo (10.1016/S0098-1354(00)00652-9_BIB17) 1995; 19 Gabelman (10.1016/S0098-1354(00)00652-9_BIB6) 1999; 159 |
| References_xml | – volume: 19 start-page: 1219 year: 1995 ident: BIB15 article-title: Global optimization of bilinear porcess networks with multicomponent flows publication-title: Computers and Chemical Engineering – volume: 159 start-page: 61 year: 1999 ident: BIB6 article-title: Hollow fiber membrane contactors publication-title: Journal of Membrane Science – volume: 21 start-page: S499 year: 1997 ident: BIB11 article-title: Handling implicit model formulations in MINLP optimization publication-title: Computers and Chemical Engineering – volume: 21 start-page: 637 year: 1998 ident: BIB8 article-title: Opportunities and limitations of mathematical optimisation methods in process synthesis publication-title: Chemical Engineering and Technology – year: 1992 ident: BIB9 publication-title: Membrane Handbook, Part X – year: 1997 ident: BIB10 publication-title: Libro Blanco Para la Minimización de Residuos y Emisones. Recubrimientos Electrolı́ticos – year: 1995 ident: BIB16 article-title: Membrane contactors publication-title: Membrane Separations Technology. Principles and Applications – volume: 19 start-page: S189 year: 1995 ident: BIB7 article-title: Mixed-integer nonlinear programming techniques for process systems engineering publication-title: Computers and Chemical Engineering – volume: 36 start-page: 307 year: 1986 ident: BIB4 article-title: An outer–approximation algorithm for a class of mixed-integer nonlinear programs publication-title: Mathematical Programming – volume: 38 start-page: 1666 year: 1999 ident: BIB1 article-title: Experimental and theretical analysis of a nondispersive solvent extraction pilot plant for the removal of Cr(VI) from galvanic process wastewaters publication-title: Industrial Engineering and Chemistry Research – volume: 23 start-page: 457 year: 1999 ident: BIB18 article-title: A symbolic reformulation/spatial branch-and-bound algorithm for the global optimisation of nonconvex MINLPs publication-title: Computers and Chemical Engineering – year: 1992 ident: BIB14 article-title: Membrane-based solvent extraction publication-title: Membrane Handbook – volume: 35 start-page: 1369 year: 1996 ident: BIB13 article-title: Kinetic analysis of the simultaneous nondispersive extraction and back-extraction of chromium(VI) publication-title: Industrial Engineering and Chemistry Research – volume: 110 start-page: 151 year: 1996 ident: BIB3 article-title: Modelling and simulation of integrated membrane processes for recovery of Cr(VI) with Aliquat 336 publication-title: Journal of Membrane Science – reference: Eliceche A.M., Alonso A.I., Ortiz I., (2000). Optimal operation of selective membrane separation processes for wastewater treatment, Computers and Chemical Engineering 24, 2115. – volume: 118 start-page: 213 year: 1996 ident: BIB12 article-title: Membrane mass transport coefficient for the recovery of Cr(VI) in hollow fiber extraction and stripping modules publication-title: Journal of Membrane Science – volume: 32 start-page: 1543 year: 1997 ident: BIB2 article-title: Separation of Cr(VI) with Aliquat 336: chemical equilibrium modelling publication-title: Separation Science Technology – volume: 19 start-page: 551 year: 1995 ident: BIB17 article-title: Global optimization of nonconvex NLPs and MINLPs with applications in process design publication-title: Computers and Chemical Engineering – volume: 23 start-page: 457 year: 1999 ident: 10.1016/S0098-1354(00)00652-9_BIB18 article-title: A symbolic reformulation/spatial branch-and-bound algorithm for the global optimisation of nonconvex MINLPs publication-title: Computers and Chemical Engineering doi: 10.1016/S0098-1354(98)00286-5 – volume: 36 start-page: 307 year: 1986 ident: 10.1016/S0098-1354(00)00652-9_BIB4 article-title: An outer–approximation algorithm for a class of mixed-integer nonlinear programs publication-title: Mathematical Programming doi: 10.1007/BF02592064 – year: 1992 ident: 10.1016/S0098-1354(00)00652-9_BIB14 article-title: Membrane-based solvent extraction – volume: 159 start-page: 61 year: 1999 ident: 10.1016/S0098-1354(00)00652-9_BIB6 article-title: Hollow fiber membrane contactors publication-title: Journal of Membrane Science doi: 10.1016/S0376-7388(99)00040-X – year: 1995 ident: 10.1016/S0098-1354(00)00652-9_BIB16 article-title: Membrane contactors – volume: 19 start-page: 551 issue: 5 year: 1995 ident: 10.1016/S0098-1354(00)00652-9_BIB17 article-title: Global optimization of nonconvex NLPs and MINLPs with applications in process design publication-title: Computers and Chemical Engineering doi: 10.1016/0098-1354(94)00097-2 – volume: 21 start-page: 637 issue: 8 year: 1998 ident: 10.1016/S0098-1354(00)00652-9_BIB8 article-title: Opportunities and limitations of mathematical optimisation methods in process synthesis publication-title: Chemical Engineering and Technology doi: 10.1002/(SICI)1521-4125(199808)21:8<637::AID-CEAT637>3.0.CO;2-U – volume: 32 start-page: 1543 year: 1997 ident: 10.1016/S0098-1354(00)00652-9_BIB2 article-title: Separation of Cr(VI) with Aliquat 336: chemical equilibrium modelling publication-title: Separation Science Technology doi: 10.1080/01496399708004065 – ident: 10.1016/S0098-1354(00)00652-9_BIB5 doi: 10.1016/S0098-1354(00)00580-9 – volume: 21 start-page: S499 issue: Suppl. year: 1997 ident: 10.1016/S0098-1354(00)00652-9_BIB11 article-title: Handling implicit model formulations in MINLP optimization publication-title: Computers and Chemical Engineering doi: 10.1016/S0098-1354(97)87551-5 – year: 1992 ident: 10.1016/S0098-1354(00)00652-9_BIB9 – volume: 110 start-page: 151 year: 1996 ident: 10.1016/S0098-1354(00)00652-9_BIB3 article-title: Modelling and simulation of integrated membrane processes for recovery of Cr(VI) with Aliquat 336 publication-title: Journal of Membrane Science doi: 10.1016/0376-7388(95)00228-6 – volume: 19 start-page: S189 issue: Suppl. year: 1995 ident: 10.1016/S0098-1354(00)00652-9_BIB7 article-title: Mixed-integer nonlinear programming techniques for process systems engineering publication-title: Computers and Chemical Engineering doi: 10.1016/0098-1354(95)00072-A – volume: 35 start-page: 1369 year: 1996 ident: 10.1016/S0098-1354(00)00652-9_BIB13 article-title: Kinetic analysis of the simultaneous nondispersive extraction and back-extraction of chromium(VI) publication-title: Industrial Engineering and Chemistry Research doi: 10.1021/ie950433o – year: 1997 ident: 10.1016/S0098-1354(00)00652-9_BIB10 – volume: 38 start-page: 1666 issue: 4 year: 1999 ident: 10.1016/S0098-1354(00)00652-9_BIB1 article-title: Experimental and theretical analysis of a nondispersive solvent extraction pilot plant for the removal of Cr(VI) from galvanic process wastewaters publication-title: Industrial Engineering and Chemistry Research doi: 10.1021/ie980288p – volume: 118 start-page: 213 year: 1996 ident: 10.1016/S0098-1354(00)00652-9_BIB12 article-title: Membrane mass transport coefficient for the recovery of Cr(VI) in hollow fiber extraction and stripping modules publication-title: Journal of Membrane Science doi: 10.1016/0376-7388(96)00094-4 – volume: 19 start-page: 1219 issue: 12 year: 1995 ident: 10.1016/S0098-1354(00)00652-9_BIB15 article-title: Global optimization of bilinear porcess networks with multicomponent flows publication-title: Computers and Chemical Engineering doi: 10.1016/0098-1354(94)00123-5 |
| SSID | ssj0002488 |
| Score | 1.7029985 |
| Snippet | The purpose of this paper is to carry out the optimal design of a non-dispersive solvent extraction (NDSX) process for the removal and recovery of chromium... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 267 |
| SubjectTerms | Membrane extraction MINLP Process optimisation Process synthesis |
| Title | Optimal design of non-dispersive solvent extraction processes |
| URI | https://dx.doi.org/10.1016/S0098-1354(00)00652-9 |
| Volume | 25 |
| WOSCitedRecordID | wos000167950000006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1873-4375 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0002488 issn: 0098-1354 databaseCode: AIEXJ dateStart: 19950611 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1NT9wwELW2Sw_toSq0VemXcuihFTJNbCexjxRRoAeKVCrtLfKnQNqG1bIgxK9nHNvJtiAKh16ilVd2nMzTeBy_eYPQR2NYUXNdYls7jpnVEgtZUezPuLgxIs-d64pN1AcHfDIRh6PRVcqFuZjWbcsvL8Xsv5oa2sDYPnX2AebuB4UG-A1GhyuYHa73MvwPcAK__dFLx83oiBqnLTYnXhK846rD7T3JcQPc8jxWCp-FdIHIJ0zCBbHgw1kHD52UBeygYNijZQoPE_JlWrmxv9mzfCAyl8dtIk6GQ_mB8XMe_tr17V-320QUTt8gOhJWyMJMflXAXpQGOejkV0m5hB-C6bKbDCU44opLQtGeG848fFf42Q8OIbevXC182ESwGFawdGr_18LW0w0HJhsM1fihmtyrosIwjXiEVkhdCj5GK1v7O5Pv_TpOGOdJcdX3GfK_vgxz-pTnn-N8bo9slqKVo-foWdxmZFsBHqtoZNs19HRJfPIFSkDJAlCyU5f9CZQsAiUbgJL1QHmJfn3bOdrew7GYBtaUsQWGSLYylVOFLG3Bdc5rp4ShNamIlporoaTTrOAWXLR1PJd5qZmgpWQaIrjC0FdoDLOwr1EGe2xbGKYL6xSzyigJ23ZaKK6IsBUl64ilF9HoqDTvC55MmzsNsY42-26zILXyrw48veUmxoshDmwAQXd3ffPQe71FTwbgv0PjxfzcvkeP9cXi5Gz-IULnGn6yg8M |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Optimal+design+of+non-dispersive+solvent+extraction+processes&rft.jtitle=Computers+%26+chemical+engineering&rft.au=Alonso%2C+Ana+I.&rft.au=Lassahn%2C+Andr%C3%A9&rft.au=Gruhn%2C+G%C3%BCnter&rft.date=2001-03-15&rft.issn=0098-1354&rft.volume=25&rft.issue=2-3&rft.spage=267&rft.epage=285&rft_id=info:doi/10.1016%2FS0098-1354%2800%2900652-9&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_S0098_1354_00_00652_9 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0098-1354&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0098-1354&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0098-1354&client=summon |