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research-article

NATURAL CONVECTION HEAT TRANSFER FROM VERTICAL 7x7 ROD BUNDLES IN LIQUID SODIUM

[+] Author and Article Information
Koichi Hata

Graduate School of Maritime Sciences, Kobe Univ., 5-1-1, Fukae-minami, Kobe, Hyogo 658-0022, Japan
hatako1@people.kobe-u.ac.jp

Katsuya Fukuda

Graduate School of Maritime Sciences, Kobe Univ., 5-1-1, Fukae-minami, Kobe, Hyogo 658-0022, Japan
fukuda@maritime.kobe-u.ac.jp

Tohru Mizuuchi

Institute of Advanced Energy, Kyoto Univ., Gokasho, Uji, Kyoto 611-0011, Japan
t-mizuuchi@iae.kyoto-u.ac.jp

1Corresponding author.

ASME doi:10.1115/1.4042356 History: Received August 24, 2017; Revised December 09, 2018

Abstract

Natural convection heat transfer from vertical 7x7 rod bundle in liquid sodium was numerically analyzed to optimize the thermal-hydraulic design for the bundle geometry with equilateral square array, ESA. The 7x7 test rods for diameter (D=7.6 mm), heated length (L=200 mm) and L/d (=26.32) were used in this work. The surface heat fluxes for each cylinder were equally given for a modified Rayleigh number, (R_f,L)_ij and (R_f,L)_NxxNy,S/D, ranging from 3.08x10^4 to 4.28x10^7 (q=1x10^4~7x10^6 W/m^2) in liquid temperature (TL=673.15 K). The values of S/D for vertical 7x7 rod bundle were ranged from 1.8 to 6 on the bundle geometry with equilateral square array. The general correlations for natural convection heat transfer from a vertical NxxNy rod bundle with the equilateral square and triangle arrays including the effects of array size, (R_f,L)_NxxNy,S/D and S/D were derived. The correlations for vertical NxxNy rod bundles can describe the theoretical values of (Nu_av,B)_NxxNy,S/D for each bundle geometry in the wide analytical range of S/D (=1.8 to 6) and the modified Rayleigh number ((R_f,L)_NxxNy,S/D=3.08x10^4 to 4.28x10^7) within -9.49 to 10.6 % differences.

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