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Analytical investigation of a one-dimensional homogenized model for a pressurized water reactor core

Benner, J. and Schumann, U. (1981) Analytical investigation of a one-dimensional homogenized model for a pressurized water reactor core. Nuclear Engineering and Design, 66, pp. 413-426. doi: 10.1016/0029-5493(81)90171-0.


Official URL: http://www.elsevier.com/wps/find/journaldescription.cws_home/505661/description#description


A one-dimensional homogenized model for dynamic fluid-structure interaction in a pressurized water reactor core is used to study the influence of the virtual density and spacer's stiffness. The model consists of a linear system of partial differential equations for fluid velocity, rod velocity and pressure. For these equations analytical solutions are deduced for boundary conditions prescribing either periodic wall oscillations or linearly growing wall accelerations from rest. The theoretical model for the virtual density is verified by comparison to an experiment. For zero spacer stiffness, purely acoustic oscillations appear. For positive spacer stiffness, additional oscillations arise with relative rod motions. The wavelengths of the latter oscillations are small for weak spacers. Large numerical effort would be required in a more complete three-dimensional core-model to resolve such short wave lengths. In fact in a typical core the spacer's stiffness cs is small in comparison to the fluid bulk modulus K. For cs/K0.1 it might be appropriate to neglect the influence of the spacers.

Item URL in elib:https://elib.dlr.de/53412/
Document Type:Article
Title:Analytical investigation of a one-dimensional homogenized model for a pressurized water reactor core
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Benner, J.Kernforschungszentrum KarlsruheUNSPECIFIEDUNSPECIFIED
Schumann, U.Kernforschungszentrum KarlsruheUNSPECIFIEDUNSPECIFIED
Journal or Publication Title:Nuclear Engineering and Design
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Page Range:pp. 413-426
Keywords:dynamic fluid-structure, water reactor
HGF - Research field:other
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:no assignment
DLR - Program:no assignment
DLR - Research theme (Project):no assignment
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Atmospheric Physics
Deposited By: Freund, Jana
Deposited On:26 Nov 2008
Last Modified:31 Jul 2019 19:21

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