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Research Papers: Flows in Complex Systems

Experimental Study on the Amplitude of a Free Surface Fluctuation

[+] Author and Article Information
Ho-Yun Nam1

Fluid Engineering Division, Korea Atomic Energy Research Institute, 150 Deokjin-dong, Yuseong-gu, Daejeon, 305-353, Koreahynam@kaeri.re.kr

Byoung-Hae Choi, Jong-Man Kim, Byung-Ho Kim

Fluid Engineering Division, Korea Atomic Energy Research Institute, 150 Deokjin-dong, Yuseong-gu, Daejeon, 305-353, Korea

1

Corresponding author. Present address: SFR Development Division, Korea Atomic Energy Research Institute, 150 Deokjin-dong, Yuseong-gu, Daejeon, 305-353, Korea.

J. Fluids Eng 130(12), 121106 (Oct 28, 2008) (11 pages) doi:10.1115/1.3001071 History: Received January 31, 2007; Revised July 10, 2008; Published October 28, 2008

An experimental study was performed to measure the fluctuation phenomena of a free surface in a vessel with or without an internal structure. A flow enters from the bottom and flows out of the side wall nozzles. Characteristics of the free surface fluctuation are investigated in terms of the geometry factors of the vessel and the flow rate. A modified Froude number is proposed to describe the amplitude of a free surface fluctuation. The fluctuation amplitude increases stably with an increase in the ratio of the vessel diameter to the water level in a vessel without an internal structure. When the ratio is greater than about 2, the fluctuation decreases suddenly with an increase in the ratio and it becomes unstable. The fluctuation amplitude is linearly proportional to the square of the Froude number. The amplitude of a free surface fluctuation increases with an increase in the height of an internal structure, but this increasing ratio is reduced when the height becomes higher. Two correlations were developed in terms of the Froude number and geometry factors to predict the amplitude of the free surface fluctuation in a vessel with or without an internal structure.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of the experimental apparatus

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Figure 2

Test section for the experiment with an internal structure

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Figure 3

Typical signal of a free surface fluctuation in the experiment

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Figure 4

Spectral power density of typical level fluctuation in the experiment

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Figure 5

Standard deviation of the free surface fluctuation versus the Froude number based on a water level and a velocity at an inlet nozzle

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Figure 6

Standard deviation with a different length scales versus the square of a Froude number at a fixed water level of 0.87 m

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Figure 7

Standard deviation of a free surface fluctuation versus dV2VN2/gH2

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Figure 8

Geometry factor versus H/dV in σavg

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Figure 9

Geometry factor fg versus H∗ in the experiment

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Figure 10

Comparison of the calculated geometry factor with measured geometry factor

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Figure 11

Comparison of the three correlations with a different length scale for λ in the experiment without an UIS

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Figure 12

Standard deviation of the surface defined in Eq. 17

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Figure 13

Distribution of a fixed Froude number versus (H/dU)(dh/dV)

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Figure 14

Comparison of the three correlations with a different length scale in the experiment with an UIS

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