LAPSE:2023.23473
Published Article
LAPSE:2023.23473
Similarity and Froude Number Similitude in Kinematic and Hydrodynamic Features of Solitary Waves over Horizontal Bed
Chang Lin, Ming-Jer Kao, James Yang, Rajkumar Venkatesh Raikar, Juan-Ming Yuan, Shih-Chun Hsieh
March 27, 2023
Abstract
This study presents, experimentally, similarity and Froude number similitude (FNS) in the dimensionless features of two solitary waves propagating over a horizontal bed, using two wave gauges and a high-speed particle image velocimetry (HSPIV). The two waves have distinct wave heights H0 (2.9 and 5.8 cm) and still water depths h0 (8.0 and 16.0 cm) but identical H0/h0 (0.363). Together with the geometric features of free surface elevation and wavelength, the kinematic characteristics of horizontal and vertical velocities, as well as wave celerity, are elucidated. Illustration of the hydrodynamic features of local and convective accelerations are also made in this study. Both similarity and FNS hold true for the dimensionless free surface elevation (FSE), wavelength and celerity, horizontal and vertical velocities, and local and convective accelerations in the horizontal and vertical directions. The similarities and FNSs indicate that gravity dominates and governs the wave kinematics and hydrodynamics.
Keywords
acceleration, Froude number similitude, HSPIV, similarity, solitary wave, velocity
Subject
Suggested Citation
Lin C, Kao MJ, Yang J, Raikar RV, Yuan JM, Hsieh SC. Similarity and Froude Number Similitude in Kinematic and Hydrodynamic Features of Solitary Waves over Horizontal Bed. (2023). LAPSE:2023.23473
Author Affiliations
Lin C: Department of Civil Engineering, National Chung Hsing University, Taichung 40227, Taiwan
Kao MJ: Department of Civil Engineering, National Chung Hsing University, Taichung 40227, Taiwan
Yang J: Vattenfall AB, R&D Hydraulic Laboratory, 81470 Älvkarleby, Sweden; Department of Civil and Architectural Engineering, Royal Institute of Technology, 10044 Stockholm, Sweden [ORCID]
Raikar RV: Department of Civil Engineering, KLE Dr. M.S. Sheshgiri College of Engineering and Technology, Udyambag, Belagavi 590008, Karnataka, India [ORCID]
Yuan JM: Department of Data Science and Big Data Analytics, Providence University, Taichung 43301, Taiwan [ORCID]
Hsieh SC: Axesea Engineering Technology Co., Ltd., Taichung 407034, Taiwan
Journal Name
Processes
Volume
9
Issue
8
First Page
1420
Year
2021
Publication Date
2021-08-16
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr9081420, Publication Type: Journal Article
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LAPSE:2023.23473
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https://doi.org/10.3390/pr9081420
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Mar 27, 2023
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CC BY 4.0
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