Mathematical simulation of heat transfer during fluid flow for a fuel element with a polyzonal finned shell

Maksymenko-Sheiko, Kyrylo V.; Litvinova, Yu.; Sheiko, Tetiana I.; Khazhmuradov, M. A.

doi:10.15407/pmach2017.04.058

Cited by 2 publications

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“…In [3], the conjugate heat transfer problem under the rod flow of the heat transfer agent in the lattices of fuel elements was reduced to a solution for one translational element based on the symmetry of the system. However, an analysis of the nature of the velocity and temperature distribution performed in [7,8,9] allows us to conclude that the consideration of the velocity field for a cell, in the case of its remoteness from the boundary, is expedient. The temperature field in this case will be very far from reality, as evidenced by the results obtained for the cartridge as a whole.…”

Section: Introductionmentioning

confidence: 99%

“…In [4,5,6], the foundations of new constructive tools of the theory of R-functions for the analytical description of geometric objects with various types of symmetry, including translational and cyclic, were laid. In [7,8], equations of cartridges with 96 or more fuel elements have been constructed, and investigations of hydrodynamic and temperature fields by the Rfunction method have been started. The paper [9] is devoted to the mathematical modeling of convective heat transfer in an octagonal fuel cartridge with 37 fuel elements as well as to the investigation of the packing type (checkerboard, corridor and cyclic) influence on the form of the resulting fields.…”

Section: Introductionmentioning

confidence: 99%

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The Thermal-Hydraulic Calculation in a Fuel Cartridge When the Symmetry of Fuel Rods Packing Is Broken

Sheiko¹,

Maksimenko-Sheyko²,

Uvarov³

et al. 2019

Problems of Atomic Science and Technology

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In the work, the problem of convective heat transfer in the fuel cartridge with fuel rods, including the case of broken symmetry in the packing of rods, is solved with new design tools of the R-functions method and the program complex POLYE. The developed design tools for constructing the equations of the boundaries of domains with translational and cyclic types of symmetry made it possible to significantly reduce the quantity of operations with a subsequent automation of this process, and, consequently, to reduce the time for solving problems. Problems are solved by a variational-structural method. The paper considers the influence of only one rod that breaks the symmetry of the packing, when it is located either in the central or in the peripheral zone of the cartridge, both with keeping the whole bundle parallel and with the rod’s curvature. In the presence of several ”non-standard” rods, it is also important to calculate the temperature field for the cartridge as a whole. Working with the mathematical model of the process and the computational experiment make it possible to study the properties and behavior of the process in various situations without serious consequences, relatively quickly and without significant expenditure.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Thermal-Hydraulic Calculation in a Fuel Cartridge When the Symmetry of Fuel Rods Packing Is Broken

Sheiko¹,

Maksimenko-Sheyko²,

Uvarov³

et al. 2019

Problems of Atomic Science and Technology

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Mathematical and Computer Modeling of Convective Heat Transfer in Fuel Cartridges of Fuel Elements with Different Shapes and Packing of Rods

Maksymenko-Sheiko¹,

Sheiko²,

Lisin³

et al. 2022

J. of Mech. Eng.

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The paper consists of three sections and is of an informational and generalizing nature, indicating promising areas for further research. The first section "R-functions method in mathematical modeling of convective heat transfer in fuel cartridges with fuel elements" is devoted to the use of new constructive tools of the R-functions method for mathematical and computer modeling of fuel elements packings with different types of symmetry, as well as the study of convective heat transfer in fuel elements grids and the effect of the type of packing on the distribution of velocity and temperature. An octahedral cartridge with 37 fuel elements packed according to three patterns (cyclic, checkerboard and in-line) is considered. It is noted that when constructing the equations of a cartridge with bundles of fuel elements using the new method, the number of R-operations and, accordingly, the calculation time are significantly reduced. An analysis of the obtained results allows to conclude that the maximum temperature is obtained with cyclic packing. The scheme of the reactor, the cartridges of which are hexagonal casings, with 91 fuel elements placed in each of them both with checkerboard and cyclic packing, is also considered. In the second section "Thermal-hydraulic calculation of fuel elements cartridges in case of violation of the rods packing symmetry", a hexagonal fuel cartridge with 169 fuel elements and checkerboard packing is considered. An increase in temperature is analyzed in case of violation of the packing symmetry while maintaining the parallelism of the rods, as well as in case of a curvature of one of them. The third section "R-functions, fuel element with polyzonal finning of the shell and heat transfer during fluid motion" is focused on the construction of equations for various finning surfaces of fuel elements and the study of hydrodynamic and temperature fields in case of polyzonal finning of the shell. At the same time, using the apparatus of tensor analysis, a transition to a curvilinear non-orthogonal (helical) coordinate system was made. It is noted that mathematical modeling and the associated computer experiment are indispensable in cases where a full-scale experiment is impossible or difficult to conduct for one reason or another. In addition, working with mathematical model of the process and the computational experiment make it possible to investigate the properties and behavior of the process in various situations relatively quickly and without significant expenses. The reliability of the methods, results and conclusions is confirmed by comparison with the information given in the references, the results of the analysis of the numerical convergence of solutions and the calculation of the residual.

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Mathematical simulation of heat transfer during fluid flow for a fuel element with a polyzonal finned shell

Cited by 2 publications

References 0 publications

The Thermal-Hydraulic Calculation in a Fuel Cartridge When the Symmetry of Fuel Rods Packing Is Broken

The Thermal-Hydraulic Calculation in a Fuel Cartridge When the Symmetry of Fuel Rods Packing Is Broken

Mathematical and Computer Modeling of Convective Heat Transfer in Fuel Cartridges of Fuel Elements with Different Shapes and Packing of Rods

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