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RESEARCH PAPERS

# A Study on Fluid Excitation Forces Acting on a Rotated Square Tube Bundle of $T∕D=3.1$ in Cross-Flow

[+] Author and Article Information

Nuclear Technology Research Laboratory, Central Research Institute of Electric Power Industry (CRIEPI), 2-11-1, Iwado-kita, Komae-shi, Tokyo 201-8511, Japaninada@criepi.denken.or.jp

Kimitoshi Yoneda, Akira Yasuo

Nuclear Technology Research Laboratory, Central Research Institute of Electric Power Industry (CRIEPI), 2-11-1, Iwado-kita, Komae-shi, Tokyo 201-8511, Japan

Takashi Nishihara

Civil Engineering Research Laboratory, Central Research Institute of Electric Power Industry (CRIEPI), 1646 Abiko, Abiko-shi, Chiba 270-1194, Japan

J. Pressure Vessel Technol 129(1), 162-168 (Jul 10, 2006) (7 pages) doi:10.1115/1.2409315 History: Received May 28, 2004; Revised July 10, 2006

## Abstract

The local fluid excitation force acting on a rotated square tube bundle having transverse pitch-to-diameter ratio of $T∕D=3.1$, in a single-phase cross-flow was measured, and the normalized power spectral density (NPSD) and correlation length in the axial direction of a tube were examined. The fluid excitation force acting on the interior tube was from three to ten times larger than that acting on the upstream tube. The fluid force was almost fully developed after the third row. NPSD of the fluid excitation force could be almost plotted on a single universal curve. Regarding the lift direction, there was a peak in NPSD at $fD∕u∼0.3$ caused by vortex shedding. Regarding the drag direction, there could be another peak in NPSD around twice the vortex shedding frequency. In the region of $fD∕u>0.5$, where the effect of the vortex shedding was assumed to be small in the lift direction, the correlation length of the lift direction was $∼1.1D$. NPSD was a little larger than previous results for tube bundles of relatively small pitch to diameter ratios summarized by Axisa, Antunes, and Villard (1990, J. Fluid Struct., 4, pp. 321–341).

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## Figures

Figure 3

PSD of fluid excitation force in lift direction (Re=38,000)

Figure 4

PSD and CSD of local fluid excitation force: (a) PSD and ∣CSD∣ and (b) phase difference of CSD

Figure 5

Relation between correlation length and Ψ1,Ψ2

Figure 6

Relation between SF̃jF̃j+1(f)∕SF̃jF̃j(f) and correlation length

Figure 7

An example of coherence function

Figure 8

Experimental result of correlation length in the lift direction

Figure 9

NPSD in the lift direction

Figure 10

NPSD in the drag direction

Figure 12

Experimental result of correlation length in the drag direction

Figure 13

An example of vibration amplitude and stress amplitude

Figure 1

Test equipment: (a), test loop, (b) test section, and (c) sensor to measure local fluid excitation forces

Figure 11

Coherence function in the drag direction: (a) in the case where the second peak does not appear (Re=38,000) and (b) in the case where the second peak appears (Re=24,000)

Figure 2

Turbulence intensity

## Errata

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