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Bahman Zohuri Neutronic Analysis For Nuclear Reactor Systems Neutronic Analysis For Nuclear Reactor Systems . Bahman Zohuri Neutronic Analysis For Nuclear Reactor Systems BahmanZohuri GalaxyAdvancedEngineering,Inc., UniversityofNewMexico Albuquerque,NM,USA ISBN978-3-319-42962-5 ISBN978-3-319-42964-9 (eBook) DOI10.1007/978-3-319-42964-9 LibraryofCongressControlNumber:2016948734 ©SpringerInternationalPublishingSwitzerland2017 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilarmethodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexempt fromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthis book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland This book is dedicated to my children, Natasha, Natalie, and Sasha. —Zohuri Preface Thistextdevelopsthetheoryofnuclearreactorsfromthefundamentalsoffissionto theoperatingcharacteristicsofmodernreactors.Itisaimedataseniorundergrad- uateorfirstyear graduatestudentlevel.Itisdesignedasatwo-semester textwith thefirsthalfemphasizingreactorcriticalityanalysisandallofthephysicsthatgoes into modern calculations. It will start with simplified one-group diffusion theory models and extend into sophisticated multigroup transport theory models. Each chapter will have at least one example covering the issues discussed. Desktop calculationswillbediscussedanddemonstratedinexamples.Asmallone-dimen- sional computer code will be provided to demonstrate the models discussed. Resonancetheory,thermalscattering,andheterogeneouseffectswillbediscussed andcharacterized.Detaileddatasetswillbeprovided thatwillallow two-,three-, and four-group desktop calculations. Additional multigroup data sets will be pro- videdwiththecomputerdisk. The second half of the book will deal with the two main topics of interest to operatingreactors—reactorkinetics/dynamicsandin-corefuelmanagement.Based onthefundamentalphysicsdiscussedinthefirsthalfofthebook,reactivitymodels will be developed using realistic reactor cross-sectional data and modern analytic tools.Adjointmethodswillbeexplainedindetail.Perturbationtheorywillbeused extensivelytoquantifyreactivityeffects.Bothlinearandnonlinearreactorkinetic feedback models are included. Control system models will be mainly based on linearization techniques. Fuel management analysis will be based on a linear reactivitymodel.Codemodelingwillbediscussedandexampleproblemsincluded that can be addressed with desktop methods. The theory for extending fuel man- agementcalculationstomodernlarge-scalecomputerswillbediscussed. Some sections and chapters of the book reflect input from the lecture notes of Professor Emeritus William J. Garland, Department of Engineering Physics, McMaster University, Professor Hiroshi Sekimoto of Tokyo Institute of Technol- ogy,andProfessorH.VanDamofDelftUniversityofTechnology,aswellassome of my own lectures and notes while consulting with the Department of Energy. SomeofmylecturenotesarefrommyclassnotesfromwhenIwastakingarelated vii viii Preface course as a graduate student at the University of Illinois and University of New Mexico. Many thanksalsogo toDr.StanleyThompsonofOregon State Universityand his research notes on topics of “unstable nuclear power,” which was available on theInternet. Itisanticipatedthatthefirsthalfofthebookwillbeusefultomanyprofessionals in the nuclear industry. The second half of the book should be of use to nuclear engineeringprofessionalsconcernedwithoperatingnuclearreactors. Albuquerque,NM BahmanZohuri About This Document Thistextcoversthefundamentalsofneutronicanalysisfornuclearreactorsystem requiredtounderstandnuclearreactortheory.Itthencoverstheapplicationofthese principlestonuclearreactorpowersystems.Withthisinmind,thisbookiswritten forstudentswhoarestudyingnuclearengineeringforthefirsttime. This book could be pitched at the senior undergraduate level or first year graduate level. It is a two-semester book, to be divided by the start of time- dependent methods in Chap. 11. Both parts should stand on their own. Lecture notesandmaterialsgatheredfromProfessorMcDanielhavebeentaughtbyhimfor over30years.ThematerialwillreallybuildonbooksbyLamarsh,Henry,Hetrick, andOtt.Ihopeitwillbeusefultonewstudents. Ihopethatthistextbookwillstimulatetheinterestofstudentsinnuclearreactor theoryandhelpthemtomasterthetopicwithinashortperiodoftime. ix