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Distillation: The Theory PDF

122 Pages·2021·2.334 MB·English
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AlfonsVogelpohl Distillation DeGruyterTextbook Alfons Vogelpohl Distillation | The Theory 2nd, revised Edition Author Professor Dr.-Ing.AlfonsVogelpohl ClausthalUniversityofTechnology InstituteforSeparationandProcessTechnology Leibnizstr.15 38678Clausthal-Zellerfeld Germany ISBN978-3-11-073972-5 e-ISBN(PDF)978-3-11-073973-2 e-ISBN(EPUB)978-3-11-073981-7 LibraryofCongressControlNumber:2021931835 BibliographicinformationpublishedbytheDeutscheNationalbibliothek TheDeutscheNationalbibliothekliststhispublicationintheDeutscheNationalbibliografie; detailedbibliographicdataareavailableontheinternetathttp://dnb.dnb.de. ©2021WalterdeGruyterGmbH,Berlin/Boston Coverimage:HalBergman/TheImageBank/gettyimages Printingandbinding:CPIbooksGmbH,Leck www.degruyter.com | Nothingismorepracticalthanagoodtheory. KurtLewin Preface Distillation is the most important technical process for the separation of liquid or gaseousmixturesintofractionsorthecomponentsliketherecoveryofpetroleumcom- poundsfromcrudeoilortheseparationofairintooxygenandnitrogen.Itissurprising, therefore,thatdespitethenumerouspapersdealingwithdistillationpublishedsince theendofthe19thcenturythereisnocomprehensivetheoryofthedistillationprocess. This book, based on more than 40 years of teaching courses on Mass Transfer Processesintendstofillthisgapstartingfromthebasicequationofternarydistillation publishedbyHausenin1935andbyfullyexploitingtheremarkablepropertiesofthis equationcoveringallmodesofdistillation. Thefirstthreechaptersdescribethemodesofdistillationanddevelopthebasic equationsgoverningthedistillationprocess.Chapter4isthecentralchapterofthe bookdiscussingindetailthebinaryuptomulticomponentdistillationofidealmix- tures.Chapter5provesthattheresultsofChapter4basedonidealmixturesarevalid qualitativelyalsoforrealmixturesincludingmixtureswithazeotropes. Specialattentionhasbeengiventointerpretthecoefficientsandparametersof thetheoryinrelationtothephysicalphenomenaofthedistillationprocess.Numerous figuresandexamplesservetoillustratetheanalyticalrelationships. The book is intended as a graduate or postgraduate textbook for an advanced courseondistillationbutwillalsohelpthepracticingengineertobetterunderstand thecomplexinterrelationshipsofmulticomponentdistillation. IdedicatethebooktomyPh.D.supervisorProfessorH.Hausen,whotaughtme thebasicsofacademicresearch,andProfessorE.-U.Schlünder,whoinitiatedmyre- turn from the industry to the university. Without them this book would never have beenwritten. The author gratefully acknowledges the efficient support of Mrs. Karin Sora, Mrs.JuliaLauterbachandMr.HannesKadenatDeGruyterineditingthisbook. January,2015 AlfonsVogelpohl Clausthal-Zellerfeld,Germany https://doi.org/10.1515/9783110739732-201 Contents Preface VII | Introduction XII | 1 Theprinciplesandmodesofdistillation 1 | 1 1.1 Simpledistillation| 2 1.2 Flashdistillation| 2 1.3 Multistagedistillation| 2 Assumptionsandproblemreduction 5 | 3 Thebasicequationsofdistillation 6 | 6 3.1 Massbalance| 7 3.2 Vapour–liquid-equilibria| 7 3.2.1 Idealmixtures| 7 3.2.2 Realmixtures| 8 3.3 Masstransfercorrelations| 9 3.4 Distillationinapackedmasstransfersection | 3.4.1 Distillationattotalreflux(L/V =1)|9 10 3.4.2 Effectoftheratioofthemasstransfercoefficients| 3.4.2.1 Masstransferresistanceexclusivelyinthevapourphase(k=∞)|10 3.4.2.2 Masstransferresistanceexclusivelyintheliquidphase(k=0)|10 11 3.5 Distillationinamasstransfersectionwiththeoreticalstages | 3.6 Distillationatpartialreflux(L̸=V)|12 15 3.7 Simpledistillation| 16 3.8 Reversibledistillation| 4 Distillationofidealmixtures 17 | 17 4.1 Binarymixtures| 17 4.1.1 Distillationattotalreflux| 17 4.1.1.1 Masstransfersectionwithapacking| 18 4.1.1.2 Masstransfersectionwiththeoreticalstages| 18 4.1.2 Distillationatpartialreflux| 18 4.1.2.1 Masstransfersectionwithapackingortheoreticalstages| 20 4.1.3 Distillationcolumnwitharectifyingandastrippingsection| 20 4.1.3.1 McCabe–Thiele-diagram| 21 4.1.3.2 Limitingflowratios(Minimumrefluxcondition)| 24 4.1.3.3 Optimalfeedlocation| 25 4.1.3.4 Optimalflowratios| X | Contents 27 4.2 Ternarymixtures| 27 4.2.1 Distillationattotalrefluxandsimpledistillation | 27 4.2.1.1 Vectorfieldofthedifferentialequation| 28 4.2.1.2 Fieldofdistillationlines| 30 4.2.1.3 Effectofthemasstransferresistance| 32 4.2.2 Distillationatpartialreflux| 34 4.2.2.1 Vectorfieldsatpartialreflux| 34 4.2.2.2 Distillationspacesandseparationlines| 38 4.2.2.3 Calculationofthedistillationlines| 41 4.2.3 Reversibledistillation| 42 4.2.4 Productdomains| 42 4.2.4.1 Productdomainsinreversibledistillation| 4.2.4.2 Productdomainsofthemasstransferandtheoreticalstageconcept 45 baseddistillation(adiabaticdistillation)| 46 4.2.5 Distillationcolumn| 46 4.2.5.1 Distillationatthelimitingflowratios| 54 4.2.5.2 Distillationatnon-limitingflowratios| 55 4.2.5.3 Optimalfeedlocation| 58 4.2.6 Thefundamentalequationofdistillation| 59 4.2.6.1 Thelinefunctionofdistillation| 59 4.2.6.2 Thepotentialfunctionofdistillation| 59 4.3 Quaternarymixtures| 59 4.3.1 Distillationlines| 61 4.3.2 Productdomains| 61 4.3.2.1 Reversibledistillation| 63 4.3.2.2 Adiabaticdistillation| 64 4.4 Multicomponentmixtures| 67 4.4.1 Distillationattotalreflux| 68 4.4.2 Distillationatpartialreflux| 69 4.4.2.1 Productcompositions| 70 4.4.2.2 Sequencingofdistillationcolumns| 4.5 Theconceptualdesignofthedistillationof 74 multicomponentmixtures| 74 4.5.1 Initialconditions| 75 4.5.2 Determinationoftheproductflowrates| 75 4.5.3 Determinationofthedistillationlines| 75 4.5.3.1 Numericalsolutionofthedifferentialequations| 4.5.3.2 Distillationspacesanddistillationlinesbasedonthealgebraicsolution 75 ofthedifferentialequations|

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