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An energy approach to non-breaking wave-induced motion of bottom sediment particles
Institution:1. Department of Civil Engineering, Indian Institute of Technology, Bombay, Powai, Mumbai, Maharashtra, 400076, India;2. Department of Earth & Atmospheric Sciences, NIT Rourkela, Odisha, 769008, India;3. Department of Mechanical Engineering, SRM Institute of Science and Technology, Tamil Nadu, India;4. Department of Aerospace Engineering and Applied Mechanics, Indian Institute of Engineering Science and Technology, Howrah, India
Abstract:A general equation, which applies to incipient motion, general surface motion and disappearance of ripples under non-breaking water waves, is derived using an energy approach. Lower and upper limits of ripple development are derived, showing that existing criteria are not entirely sufficient. An explicit formula for the dissipation factor as a function of D/A (grain diameter near-bed wave amplitude) is also obtained. The formula has been used to evaluate the variation of fe with increasing flow characteristics for constant grain diameter. Finally, values of the sand grain roughness height, ks, in relation to grain diameter are given for different types of bottom motion.
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