Title of article
AnewversionofthereflectedcoreinhourequationanditssolutionOriginalResearchArticle
Author/Authors
AhmedE.Aboanber، نويسنده , , AshrafM.ElMhlawy، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
11
From page
1670
To page
1680
Abstract
Thestudyoftheneutronevolutioninnuclearsystemsisachallengingmathematicalandphysicalproblemsinceitconstitutesafundamentaltopicinthedesignofcriticalandsubcriticalreactors.Theobjectofthispaperistoderiveamathematicalframeworktocharacterizeanewversionofthetwo-pointinhourequationtodetermineitsrootsforreflectedreactors.Toattainsuchscope,ananalyticalapproachisalwaysusedforanalyzingthediffusiontheorymodelwithoneenergygroupofneutronandGdelayedfamilyofprecursors.Themodifiedtwo-pointinhourequationisdeducedandananalysisofitsrootsisperformedtakingintoaccounttheabilitytomodifysourcereactivityvariation.Inaddition,theworkproposedanumberofdelayedneutronmodelsusingmorethanthetraditionalsixgroups,wheretheeffectofthereflectorisconsideredmathematicallyequivalenttoanadditionaldelayedpseudo-neutrongroup.Forthecaseofsourcereactivityvariationanasymptoticreactorperiodisdeducedasasolutionofthismodifiedinhourequation.Theexactsolutionofthetwo-pointreactorkineticequationsisobtained;inwhicheachtransientintheneutronpopulationisalinearcombinationofexponentialfunctionsatdifferenttimeconstants,theirrespectivecontributionsdependsontheirprevioushistory.Finally,thenumericalresultsobtainedwiththesealgorithmsareappliedandverifiedforfourcasesofreflectedreactors.
Journal title
Nuclear Engineering and Design Eslah
Serial Year
2008
Journal title
Nuclear Engineering and Design Eslah
Record number
895125
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