Technical Briefs

Nonlinear Internal Wave Run-Up on Impermeable Steep Slopes

[+] Author and Article Information
I-Fan Tseng

Department of Marine Environment and Engineering, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan

Chen-Yuan Chen1

Department of Computer Science, National Pingtung University of Education, No. 4-18, Ming Shen Rd., Pingtung 90003, Taiwan; Department of Management Information System, Yung-Ta Institute of Technology and Commerce, Lin-Luoh, Pingtung 90941, Taiwan; Doctoral Program in Management, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwanpeter@mail.npue.edu.tw

Hui-Ming Kuo

Department of Logistics Management, Shu-Te University, Yen Chau, Kaohsiung 82445, Taiwan


Corresponding author.

J. Offshore Mech. Arct. Eng 131(4), 044501 (Sep 08, 2009) (5 pages) doi:10.1115/1.3168528 History: Received April 22, 2008; Revised November 01, 2008; Published September 08, 2009

Laboratory experiments were conducted to investigate the run-up of internal solitary waves (ISWs) on steep uniform slopes in a two-layered fluid system with a free surface. A 12 m long wave flume, which incorporated a movable vertical gate for generating ISWs, was used in the experiments. A steep uniform slope was modeled at one end of the flume. In the present study we looked at internal waves with small and large amplitudes using a steep uniform slope (from one of θ=30, 50, 60, 90, 120, and 130 deg) much longer than those previously published in the literature. Results collected from a wide range of experimental runs show that the run-up height depends on the planar slope, while the breaking depth is only antecedent to the amplitude of an ISW. The overall quantitative agreement with the linear feature aspects of the incident wave amplitude is encouraging.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Schematic view showing the laboratory set-up for internal wave propagation in a two-layer fluid system

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Figure 2

Schematic drawing of wave run-up and wave run-down phases resulting from wave-slope interaction

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Figure 3

(a) Schematic representation of breaking depth db, the distance from the slope to the interface at the point of gravitational instability. (b) Schematic representation of an inferred breaker depth is indicated based on the range obtained from video imagery.

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Figure 4

Wave run-up height against the incident wave amplitude for various slopes, where (—) for θ=30 deg; (⋅ ⋅) for θ=50 deg and θ=130 deg; (−⋅) for θ=60 deg and θ=120 deg; and (--) for θ=90 deg

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Figure 5

Linear regression trends between breaking depth against incident wave amplitude



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