Natural convection heat transfer from vertical rod bundles in liquid sodium

Natural convection heat transfer from vertical rod bundles in liquid sodium was numerically analyzed for three types of the bundle geometry (two parallel, equilateral triangle and equilateral square arrays). The unsteady laminar three dimensional basic equations for natural convection heat transfer...

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Autores principales:	Koichi HATA, Katsuya FUKUDA, Tohru MIZUUCHI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2016
Materias:	natural convection heat transfer liquid sodium vertical rod bundle two parallel equilateral triangle equilateral square Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/0d90af84a82540d7ac928f1809f6b67b
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spelling	oai:doaj.org-article:0d90af84a82540d7ac928f1809f6b67b2021-11-26T06:51:30ZNatural convection heat transfer from vertical rod bundles in liquid sodium2187-974510.1299/mej.15-00596https://doaj.org/article/0d90af84a82540d7ac928f1809f6b67b2016-02-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/3/3_15-00596/_pdf/-char/enhttps://doaj.org/toc/2187-9745Natural convection heat transfer from vertical rod bundles in liquid sodium was numerically analyzed for three types of the bundle geometry (two parallel, equilateral triangle and equilateral square arrays). The unsteady laminar three dimensional basic equations for natural convection heat transfer caused by a step heat flux were numerically solved until the solution reaches a steady-state. The PHOENICS code was used for the calculation considering the temperature dependence of thermo-physical properties concerned. The 2 to 4 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, Rf,L, ranging from 3.06×104 to 3.14×107 (q=1×104 to 7×106 W/m2) in liquid temperature (TL=673.15 K). The values of S/D, which are ratio of the diameter of flow channel for bundle geometry to the rod diameter, for the rod bundle were ranged from 1.4 to 3 on each bundle geometry. The spatial distributions of local and average Nusselt numbers, Nuθ,z and (Nuav,B)N, on vertical rods of a bundle were clarified. The values of average Nusselt number, (Nuav,B)N,S/D, for three types of the bundle geometry with various values of S/D were calculated to examine the effect of the bundle geometry, S/D and Rf,L on heat transfer. The bundle geometry for the higher (Nuav,B)N value under the condition of S/D=constant was examined. The correlation for (Nuav,B)N,S/D for three types of bundle geometry above mentioned including the effects of Rf,L and S/D were developed. The correlations can describe the theoretical values of (Nuav,B)N,S/D for three types of the bundle geometry for S/D ranging from 1.4 to 3 within -7.44 to 10.73 % difference.Koichi HATAKatsuya FUKUDATohru MIZUUCHIThe Japan Society of Mechanical Engineersarticlenatural convection heat transferliquid sodiumvertical rod bundletwo parallelequilateral triangleequilateral squareMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 3, Pp 15-00596-15-00596 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	natural convection heat transfer liquid sodium vertical rod bundle two parallel equilateral triangle equilateral square Mechanical engineering and machinery TJ1-1570
spellingShingle	natural convection heat transfer liquid sodium vertical rod bundle two parallel equilateral triangle equilateral square Mechanical engineering and machinery TJ1-1570 Koichi HATA Katsuya FUKUDA Tohru MIZUUCHI Natural convection heat transfer from vertical rod bundles in liquid sodium
description	Natural convection heat transfer from vertical rod bundles in liquid sodium was numerically analyzed for three types of the bundle geometry (two parallel, equilateral triangle and equilateral square arrays). The unsteady laminar three dimensional basic equations for natural convection heat transfer caused by a step heat flux were numerically solved until the solution reaches a steady-state. The PHOENICS code was used for the calculation considering the temperature dependence of thermo-physical properties concerned. The 2 to 4 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, Rf,L, ranging from 3.06×104 to 3.14×107 (q=1×104 to 7×106 W/m2) in liquid temperature (TL=673.15 K). The values of S/D, which are ratio of the diameter of flow channel for bundle geometry to the rod diameter, for the rod bundle were ranged from 1.4 to 3 on each bundle geometry. The spatial distributions of local and average Nusselt numbers, Nuθ,z and (Nuav,B)N, on vertical rods of a bundle were clarified. The values of average Nusselt number, (Nuav,B)N,S/D, for three types of the bundle geometry with various values of S/D were calculated to examine the effect of the bundle geometry, S/D and Rf,L on heat transfer. The bundle geometry for the higher (Nuav,B)N value under the condition of S/D=constant was examined. The correlation for (Nuav,B)N,S/D for three types of bundle geometry above mentioned including the effects of Rf,L and S/D were developed. The correlations can describe the theoretical values of (Nuav,B)N,S/D for three types of the bundle geometry for S/D ranging from 1.4 to 3 within -7.44 to 10.73 % difference.
format	article
author	Koichi HATA Katsuya FUKUDA Tohru MIZUUCHI
author_facet	Koichi HATA Katsuya FUKUDA Tohru MIZUUCHI
author_sort	Koichi HATA
title	Natural convection heat transfer from vertical rod bundles in liquid sodium
title_short	Natural convection heat transfer from vertical rod bundles in liquid sodium
title_full	Natural convection heat transfer from vertical rod bundles in liquid sodium
title_fullStr	Natural convection heat transfer from vertical rod bundles in liquid sodium
title_full_unstemmed	Natural convection heat transfer from vertical rod bundles in liquid sodium
title_sort	natural convection heat transfer from vertical rod bundles in liquid sodium
publisher	The Japan Society of Mechanical Engineers
publishDate	2016
url	https://doaj.org/article/0d90af84a82540d7ac928f1809f6b67b
work_keys_str_mv	AT koichihata naturalconvectionheattransferfromverticalrodbundlesinliquidsodium AT katsuyafukuda naturalconvectionheattransferfromverticalrodbundlesinliquidsodium AT tohrumizuuchi naturalconvectionheattransferfromverticalrodbundlesinliquidsodium
_version_	1718409700960108544

Natural convection heat transfer from vertical rod bundles in liquid sodium

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