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dc.contributor.authorYilmazer, Ayhan
dc.date.accessioned2019-12-13T11:14:51Z
dc.date.available2019-12-13T11:14:51Z
dc.date.issued2009
dc.identifier.issn0307-904X
dc.identifier.urihttps://doi.org/10.1016/j.apm.2008.10.025
dc.identifier.urihttp://hdl.handle.net/11655/19008
dc.description.abstractSteady state heat conduction in a convectively cooled sphere having arbitrarily located spherical heat sources inside is treated with the method of Green's function accompanied by a coordinate transform. Green's function of the heat diffusion operator for a finite sphere with Robin boundary condition is obtained by spherical harmonics expansion. Verification of the analytical Solution is exemplified in some generic cases related to the pebbles of South-African PBMR as of year 2000 with 268 MW thermal power. Analytical results for different sectors of the sphere (pebble) are compared with the results of computational fluid dynamics code FLUENT (TM). This work is motivated through a modest effort to assess the stochastic effects of distribution and volumetric effects of fuel kernels within the pebbles of future-promising pebble bed reactors. (c) 2008 Elsevier Inc. All rights reserved.
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.isversionof10.1016/j.apm.2008.10.025
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectEngineering
dc.subjectMathematics
dc.subjectMechanics
dc.titleGreen'S Function, Temperature In A Convectively Cooled Sphere With Arbitrarily Located Spherical Heat Sources
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.relation.journalApplied Mathematical Modelling
dc.contributor.departmentNükleer Enerji Mühendisliği
dc.identifier.volume33
dc.identifier.issue7
dc.identifier.startpage3245
dc.identifier.endpage3257
dc.description.indexWoS
dc.description.indexScopus


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