R-Functions Method in the Mathematical Modeling of Convective Heat Exchange in an Octahedral Fuel Assembly with 37 Fuel Elements


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Abstract

We consider conjugate boundary-value problems of heat exchange for the cases where a viscous incompressible liquid moves through channels with noncanonical cross section flowing around a bundle of rods. The influence of the type of packing on the velocity and temperature distributions is investigated. For the solution, we use the R-functions method in combination with the Ritz variational method. We consider the cases of cyclic, staggered, and rectangular packing of fuel elements.

About the authors

R. А. Kolyada

Podgornyi Institute for Problems in Mechanical Engineering, Ukrainian National Academy of Sciences; Karazin Kharkiv National University

Email: Jade.Santos@springer.com
Ukraine, Kharkiv; Kharkiv

K. V. Maksimenko-Sheiko

Podgornyi Institute for Problems in Mechanical Engineering, Ukrainian National Academy of Sciences; Karazin Kharkiv National University

Email: Jade.Santos@springer.com
Ukraine, Kharkiv; Kharkiv

Т. I. Sheiko

Podgornyi Institute for Problems in Mechanical Engineering, Ukrainian National Academy of Sciences; Karazin Kharkiv National University

Email: Jade.Santos@springer.com
Ukraine, Kharkiv; Kharkiv

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