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This study explores multifactorial models designed to analyze heat conduction and enhance protection for fission materials in advanced nuclear devices. By examining a spherically symmetric device with varying fuel element configurations, the research presents solutions to heat conduction equations under different boundary and continuity conditions. The bundled software developed allows for the precise estimation of thermal fields across multiple models, facilitating optimizations in fuel content, particularly for plutonium-238, and providing valuable insights into temperature profiles necessary for efficient device operation.
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MULTIFACTORIAL MODELS FOR HEATCONDUCTION AND HIGH-TECH WAYS TO PROTECT FISSION MATERIALS Saenko A.V. Obninsk State Technical University for Nuclear Power Engineering, Obninsk, Russia
MULTIPLE FACTOR ANALYSIS OF THE MODEL OF THE SPHERICALLY-SYMMETRIC DEVICE WITH FUEL ELEMENT Structure of the bundled software and geometric configuration for three technology of device
LINEAR MODELS (BM, MHR, MRB, MRF, MEI) NON-LINEAR MODELS(RNM, CNM, CNR) Heat conduction equation for heat-generating sphere: Solution of equation: Heat conduction equations forshells: Solutions of equations: Boundary conditions: Continuity conditions:
VISUALIZATION OFTHE SOLUTION The temperature profiles (content of238Pu 5.5%) MHR CNM CNR MRF The dot-line are the temperature profiles for BM. Profiles for «High Technology» is low for 50 оС
THE MODEL WITH EXTERNAL INFLUENCE The model of device with rods Effective heat conductivity coefficient for IV shell: εiis defined for every parts as: n=20 LowTechnology The temperature profiles (content of238Pu 5.5%)
THE ADVICE TOCHANGETHE CONTENT OF238Pu Correction for the content of 238Pu (in %)
The bundled software was created for estimate thermal field in spherically symmetric device with fuel element. Temperature profiles were obtained for 8 models for two types of the boundary problem and three technologies. Correction for the content of 238Pu were calculated. conclusion