S I M U L T A N E O U S M A S S T R A N S F E R A N D C H E M I C A L R E A C T I O N S I N E N G I N E E R I N G S C I E N C E Solution Methods and Chemical Engineering Applications BERTRAM K.C. CHAN PhD (The University of Sydney, Australia) PE (California, USA) IEEE (Life Member) Elsevier Radarweg29,POBox211,1000AEAmsterdam,Netherlands TheBoulevard,LangfordLane,Kidlington,OxfordOX51GB,UnitedKingdom 50HampshireStreet,5thFloor,Cambridge,MA02139,UnitedStates Copyright(cid:1)2020ElsevierInc.Allrightsreserved. Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans,electronicormechanical, includingphotocopying,recording,oranyinformationstorageandretrievalsystem,withoutpermissioninwritingfrom thepublisher.Detailsonhowtoseekpermission,furtherinformationaboutthePublisher’spermissionspoliciesandour arrangementswithorganizationssuchastheCopyrightClearanceCenterandtheCopyrightLicensingAgency,canbe foundatourwebsite:www.elsevier.com/permissions. 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LibraryofCongressCataloging-in-PublicationData AcatalogrecordforthisbookisavailablefromtheLibraryofCongress BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN:978-0-12-819192-7 ForinformationonallElsevierpublicationsvisitourwebsiteat https://www.elsevier.com/books-and-journals Publisher:SusanDennis AcquisitionEditor:AnitaKoch EditorialProjectManager:ReddingMorse ProductionProjectManager:VigneshTamil CoverDesigner:MatthewLimbert TypesetbyTNQTechnologies This book is dedicated to: thegloryofGod, mybetterhalfMarieNashedYacoubChan,and thefondmemoriesof: my physical science teacher Brother Vincent, B.Sc., at the De La Salle College, Cronulla, Sydney, New South Wales, Australia, as well as my professors in Chemical Engineering in Australia, including: at the University of New South Wales: Professor Geoffrey Harold Roper and Visiting Professor Thomas Hamilton Chilton, from the University of Delaware and at the University of Sydney: Professor Thomas Girvan Hunter and Professor Rudolf George Herman Prince PREFACE Among the unit operations in biomolecular, chemical, and process engineering, the one item that has uniquely, funda- mentally,andhistorically,belongedtothedisciplineofchemical engineering is concerned with operations involving mass trans- fer.Theprincipalmasstransferoperations,inalphabeticalorder, include[*]: (cid:129) Adsorption and fixed-bed separations; (cid:129) Crystallization; (cid:129) Distillation; (cid:129) Drying ofsolids; (cid:129) Equilibrium-stage operations; (cid:129) Gasabsorption; (cid:129) Humidification operations; (cid:129) Leaching and extraction; (cid:129) Membrane separation processes. More often than not, such operations involve a combination of both mass transfer and chemical reactions. Hence, analysis and design of such unit operations should start with a basic understanding of simultaneous mass transfer and chemical re- actions. After about a century of the academic discipline of chemicalengineering,tobringintofocusthetheoryandpractice of the study and research into chemical engineering, it is useful to take an in-depth look at this important subject, supported by all available modern computational tools to bring to bear a cogent review of the discipline. Theoretical approaches to simultaneous mass transfer and chemical reactions often begin with mass balances of each of the interacting species at the differentiallevels,oftenresultinginasetofsimultaneouspartial differential equations: usually one equation for each partici- pating species. In this work, theoretical and mathematical analyses of these systems of differential equations are undertaken, resulting in existence and uniqueness theorems for such systems. Upon assuming a given set of initial and/or boundary con- ditions, with respect to each system of partial differential x Preface equations in both space and time, the system solution is then reduced to solving the resultant set of partial differential equa- tions,withradicalbutrealisticassumptionsofasetofinitialand boundary conditions with respect to space and time. Solution methodologies, starting with numerical analyses, and using various computer methodologies, including: (1) Programming,in FORTRAN-IV, for digital computation, (2) Curve fitting, with resultant graphical outputs, using the open-sourced programR, (3) Computation and curve fitting graphical outputs using the programs written in some high-level language, such as BASIC, etc. are used to obtain useful parametric curves for equipment design. [*](i)McCabe,W.L.,andSmith,J.(1956).“UnitOperationsof Chemical Engineering”, 1st Edition, The McGraw-Hill Com- panies, Inc., Series in Chemical Engineering, McGraw-Hill Book Company, New York. (ii) McCabe, W. L., Smith, J. C., and Harriott, P. (2005). “Unit OperationsofChemicalEngineering”,7thEdition,TheMcGraw- Hill Companies, Inc., Series in Chemical Engineering, McGraw- Hill Book Company, New York. “Chemical Engineering Science” A semiofficial recorded documentation of Chemical Engi- neering Science may be represented by “Perry’s Chemical Engineers’ Handbook,” published by McGraw-Hill Book Com- pany,nowonitswaytotheNinethEdition,spanningoverabout a century of the illustrious history of the profession. This latest version, under the general editorship of Don W. Green and Marylee Z. Southard, is scheduled to be published in 2019! Preface xi “Perry’s Chemical Engineers’ Handbook,” 9th Edition xii Preface “Perry’s Chemical Engineers’ Handbook”, 1st through 8th Editions This monogram focuses on one single aspect of the vast literature of chemical engineering science, known as “simulta- neousmasstransferandchemicalreactions,”whichisdiscussed as a critical theoretical analysis of the subject. It is to be hoped that it will enhance an important aspect of this subject. Special Note: Some introductory materials are taken from well-known en- gineering literatures, which are thoroughly referenced as they occur in the text.