Experimental campaigns were carried out to extract results from the flow in an open cylindrical channel under precession. The bore or the hydraulic jump is the main concentration. The experimental results are varied; this includes velocity results and geometrical ones related to the depths, phases, and lengths. For the geometrical ones a Coupled-Charged Device Camera (CCD) is used to extract pictures, those enable us to get quantitative and qualitative results. For the velocity results, Acoustic Doppler Velocimeter (ADV) is used to extract the velocity signals under the bore surface, after analyzing them it turned out that they have Cnoidal form, thus a new BBM model is derived, which is exactly as the one derived by Peregrine (1966), the only difference is the forcing gravity term, this model is solved analytically after omitting this gravity term as it is considered small, and the solution is compared with the real signals with good match. Finally, a new relationship that connects between the conjugate depths after and before the bore is derived which has time-space dependency due to the Centrifugal effect, it was also used and compared with some experimental results.
References
[1]
V-Magana, M.R., Marchant, R.T., and Smyth, F.N. (2021) Numerical and Analytical Study of Undular Bores Governed by the Full Water Wave Equations and Bidirectional Whitham-Boussinesq Equations. Physics of Fluids, 33, Article ID: 067105. https://doi.org/10.1063/5.0050067
[2]
Benjamin, B.T. and Lighthill, J.M. (1954) On Cnoidal Waves and Bores. Proceedings of the Royal Society A, 224, 448-460. https://doi.org/10.1098/rspa.1954.0172
[3]
Keulegan, H.G. and Patterson, W.G. (1940) Mathematical Theory of Irrotational Translation Waves. Part of Journal of Research of the National Bureau of Standards, 24, 48-100. https://doi.org/10.6028/jres.024.027
[4]
Binnie, M.A. and Orkney, C.J. (1955) Experiments on the Flow of Water from a Reservoir through an Open Horizontal Channel. Proceedings of the Royal Society A, 230, 237-246. https://doi.org/10.1098/rspa.1955.0126
[5]
Peregrine, H.D. and Svendsen, A.I. (1978) Spilling Breakers, Bores and Hydraulic Jumps. 16th International Conference on Coastal Engineering, Hamburg, 27 August-3 September 1978, 30. https://doi.org/10.9753/icce.v16.30
[6]
Bonneton, P., Van de Loock, J., Parisot, P.J., Bonneton, N., Sottolichio, A., Detandt, G., Castelle, B., Marieu, V. and Pochon, N. (2011) On the Occurrence of Tidal Bores—The Garonne River Case. Journal of Coastal Research, No. 64, 1462-1466.
[7]
Treske, A. (1994) Undular Bores (Favre-Waves) in Open Channels-Experimental Studies. Journal of Hydraulic Research, 32, 355-370. https://doi.org/10.1080/00221689409498738
[8]
Kikkert, A.G., O’Donoghue, T., Pokrajac, D. and Dodd, N. (2012) Experimental Study of Bore-Driven Swash Hydrodynamics on Impermeable Rough Slopes. Coastal Engineering, 60, 149-166. https://doi.org/10.1016/j.coastaleng.2011.09.006
[9]
Mokhtar, A.Z., Yusuf, B., Mohammad, A.T. and Hamzah, B.S. (2019) Experimental Study of Tsunami Bore Induced Forces on Vertical Seawall. Pertanika Journal of Science and Technology, 27, 673-684.
[10]
Trivellato, F. (2004) Experimental and Numerical Investigation of Bore Impact on a Wall. Transactions on the Built Environment, 71, 3-12.
[11]
Chassagne, R., Filippini, G.A., Ricchiuto, M. and Bonneton, P. (2019) Dispersive and Dispersive-Like Bores in Channels with Sloping Banks. Journal of Fluid Mechanics, 870, 595-616. https://doi.org/10.1017/jfm.2019.287
[12]
Lubin, P., Chanson, H. and Glockner, S. (2010) Large Eddy Simulation of Turbulence Generated by a Weak Breaking Tidal Bore. Environmental Fluid Mechanics, 10, 587-602. https://doi.org/10.1007/s10652-009-9165-0
[13]
Chanson, Hurbert. and Docherty, J.N. (2012) Turbulent Velocity Measurements in Open Channel Bores. European Journal of Mechanics B/Fluids, 32, 52-58. https://doi.org/10.1016/j.euromechflu.2011.10.001
[14]
Peregrine, H.D. (1966) Calculations of the Development of an Undular Bore. Journal of Fluid Mechanicsh, 25, 321-330. https://doi.org/10.1017/S0022112066001678
[15]
Alshoufi, E.H. (2021) On the Forced Oscillations in a Precessing Open Cylindrical Channel. AIP Advances, 11, Article ID: 045128. https://doi.org/10.1063/5.0046782
[16]
Teles da Silva, F.A. and Peregrine, H.D. (1991) Nonsteady Computations of Undular and Breaking Bores. 22nd International Conference on Coastal Engineering, Delft, 1019-1032. https://doi.org/10.1061/9780872627765.079
[17]
Pratt, J.L. (1987) Rotating Shocks in a Separated Laboratory Channel Flow. Journal of Physical Oceanography, 17, 483-491. https://doi.org/10.1175/1520-0485(1987)017%3C0483:RSIASL%3E2.0.CO;2
[18]
Fedorov, V.A. and Melville, K.W. (1996) Hydraulic Jumps at Boundaries in Rotating Fluids. Journal of Fluid Mechanics, 324, 55-82. https://doi.org/10.1017/S0022112096007835
