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TECHNICAL PAPERS

Experiments on Deep-Water Waves With Two-Dimensional Surface Patterns

[+] Author and Article Information
Joseph L. Hammack, Diane M. Henderson

218 McAllister Building, Penn State University, University Park, PA 16802

J. Offshore Mech. Arct. Eng 125(1), 48-53 (Feb 28, 2003) (6 pages) doi:10.1115/1.1537725 History: Received March 01, 2002; Revised September 01, 2002; Online February 28, 2003
Copyright © 2003 by ASME
Topics: Waves , Water , Time series , Gages
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References

Figures

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Time series from a y-trace of two gages for experiments in which the mode number varies as indicated. For the left/right column, the x-location of the gages are 50/100 cm from the wave paddles. For all experiments, ε=0.20. Row 1–4 corresponds to experiments C5–C8 of Table 1.
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Time series from a y-trace of two gages for experiments in which the amplitude varies: (a,b) a0=.24 cm, (c,d) a0=.32 cm, (e,f ) a0=.39 cm. For the left/right column, the x-location of the gages are 50/100 cm from the wave paddles. For all experiments, n=6 so that ρ=0.330. Each row of time series corresponds to experiments C9–C11 of Table 2.
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Time series from a y-trace of two gages for experiments in which the amplitude varies: (a,b) a0=.47 cm, (c,d) a0=.55 cm, (e,f ) a0=.63 cm. For all experiments, n=6 so that ρ=0.33. Rows 1–3 correspond to experiments C12–C14 of Table 2.
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Time series from an x-trace at (a) a nodal line along the centerline of the tank (y=91.5 cm) and (b) an antinodal line of the pattern (y=60 cm). For both experiments, f=4 Hz, ε=0.20 cm, m=3, and ρ=0.330.
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Time series of wavefields from experiments (a) S2 and (b) S3, modulated with sn-envelopes as in (2). Experimental parameters are in Table 3.
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Amplitude for paddle forcing for (a) oblique interactions of two 3.33 Hz waves and (b) a sn-modulated 3.33 Hz wave with m=0.960
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Overhead photograph of waves in shallow water. (From Hammack et al., 1995 2)
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Numerically generated contours of travelling waves in (a) shallow and (b) deep water (Dave Nicholls, private communication)
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(a) Oblique image of 3-Hz waves showing apparently six-sided cells (b) overhead image of 4-Hz waves showing apparently rectangular cells
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Schematic drawing of level lines for wave patterns corresponding to (a) hexagons in shallow water and (b) rectangles in deep water
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Images of 4-Hz waves with a0κ=0.20 and aspect ratios, ρ=2l/k= (a) 0, (b) 0.11, (c) 0.16, (d) 0.22, (e) 0.27, (f ) 0.33, (g) 0.38 and (h) 0.44. Experiments (a)–(h) correspond to C1–8 in Table 1. (Imaged area size is 91.6×114.5 cm2. Surface patterns propagate from top to bottom of the image.)
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Images of 4-Hz waves with aspect ratio ρ=0.330 and variable a0k (a) 0.15, (b) 0.20, (c) 0.24, (d) 0.29, (e) 0.34, (f ) 0.39, (g) 0.39. Experiments (a)–(g) correspond to C9–14 in Table 2). (Image area size is 91.6×114.5 cm2. Surface patterns propagate from top to bottom of image.)
Grahic Jump Location
Time series from a y-trace of two gages for experiments in which the mode number varies as indicated. For the left/right column, the x-location of the gages are 50/100 cm from the wave paddles. For all experiments, ε=0.20. Row 1–4 corresponds to experiments C1–C4 of Table 1.

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