NUCLEAR REACTOR PHYSICS AND ENGINEERING NUCLEAR REACTOR PHYSICS AND ENGINEERING John C. Lee UniversityofMichigan AnnArbor,Michigan Thiseditionfirstpublished2020 ©2020JohnWiley&Sons,Inc. Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inany formorbyanymeans,electronic,mechanical,photocopying,recordingorotherwise,exceptaspermittedbylaw.Advice onhowtoobtainpermissiontoreusematerialfromthistitleisavailableathttp://www.wiley.com/go/permissions. TherightofJohnC.Leetobeidentifiedastheauthorofthisworkhasbeenassertedinaccordancewithlaw. RegisteredOffice JohnWiley&Sons,Inc.,111RiverStreet,Hoboken,NJ07030,USA EditorialOffice 111RiverStreet,Hoboken,NJ07030,USA Fordetailsofourglobaleditorialoffices,customerservices,andmoreinformationaboutWileyproductsvisitusat www.wiley.com. Wileyalsopublishesitsbooksinavarietyofelectronicformatsandbyprint-on-demand.Somecontentthatappearsin standardprintversionsofthisbookmaynotbeavailableinotherformats. LimitofLiability/DisclaimerofWarranty Whilethepublisherandauthorshaveusedtheirbesteffortsinpreparingthiswork,theymakenorepresentationsor warrantieswithrespecttotheaccuracyorcompletenessofthecontentsofthisworkandspecificallydisclaimall warranties,includingwithoutlimitationanyimpliedwarrantiesofmerchantabilityorfitnessforaparticularpurpose.No warrantymaybecreatedorextendedbysalesrepresentatives,writtensalesmaterialsorpromotionalstatementsforthis work.Thefactthatanorganization,website,orproductisreferredtointhisworkasacitationand/orpotentialsourceof furtherinformationdoesnotmeanthatthepublisherandauthorsendorsetheinformationorservicestheorganization, website,orproductmayprovideorrecommendationsitmaymake.Thisworkissoldwiththeunderstandingthatthe publisherisnotengagedinrenderingprofessionalservices.Theadviceandstrategiescontainedhereinmaynotbe suitableforyoursituation.Youshouldconsultwithaspecialistwhereappropriate.Further,readersshouldbeawarethat websiteslistedinthisworkmayhavechangedordisappearedbetweenwhenthisworkwaswrittenandwhenitisread. Neitherthepublishernorauthorsshallbeliableforanylossofprofitoranyothercommercialdamages,includingbut notlimitedtospecial,incidental,consequential,orotherdamages. LibraryofCongressCataloging-in-PublicationDataapplied for ISBN:9781119582328 CoverdesignbyWiley Coverimage:©LanaPo/Shutterstock Setin9/11pt,NimbusRomNo9LbySPiGlobal,Chennai,India. PrintedintheUnitedStatesofAmerica 10987654321 CONTENTS Preface xiv PermissionsandCopyrights xvi ListofTables xviii ListofFigures xix 1 NuclearPowerPlants 1 2 Neutron-nucleusReactionandNeutronCrossSection 27 3 NeutronFlux,ReactionRate,andEffectiveCrossSection 59 vi CONTENTS 1/v 4 DerivationoftheNeutronDiffusionEquation 77 P1 5 ApplicationsoftheOne-GroupNeutronDiffusionEquation 99 6 NumericalSolutionoftheNeutronDiffusionEquation 131 CONTENTS vii 7 ApplicationsoftheTwo-GroupNeutronDiffusionEquation 165 8 NuclearReactorKinetics 181 9 FastNeutronSpectrumCalculation 219 viii CONTENTS 10 PerturbationTheoryandAdjointFlux 255 11 LatticePhysicsAnalysisofHeterogeneousCores 273 B1 B1 B1 CONTENTS ix 2 12 NuclearFuelCycleAnalysisandManagement 323 13 Thermal-HydraulicAnalysisofReactorSystems 373 x CONTENTS