A note on hydraulic theory of internal bores |
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| Institution: | 1. State Key Laboratory of Simulation and Regulation of Water Cycle in River Bain, China Institute of Water Resources and Hydropower Research, Beijing 100038, China;2. School of Civil Engineering and Geosciences, Newcastle University, Newcastle upon Tyne NE1 7RU England, UK;3. Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, 100101, China;1. State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China;2. University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | Mass and momentum conservation across an internal bore, together with an assumption that energy is dissipated in both fluid layers, yields a range of possible bore speeds. The upper speed limit is that given by Wood and Simpson Wood, I.R., Simpson, J.E., 1984. Jumps in layered miscible fluids. J. Fluid Mech., 140: 215–231.] who assume no energy dissipation in the contracting layer, while the lower limit is that of Klemp et al. Klemp, J.B., Rotunno, R., Skamarock, W.C., 1997. On the propagation of internal bores. J. Fluid Mech., 331: 81–106] who assume no energy dissipation in the expanding layer. The two bore speeds agree to within a few percent, except when the expanding layer is shallow upstream and the internal bore propagates as a gravity current. |
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