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Motion response induced by air cushioning effect during the water impact of a plate at small deadrise angles
Phys. Rev. Fluids 9, 034802 – Published 11 March, 2024
DOI: https://doi.org/10.1103/PhysRevFluids.9.034802
Abstract
When a flat plate impacts water at small deadrise angles, the air cushion underneath plate bottom is asymmetrical about plate center and produces great asymmetrical impact pressure. In such an occasion, the motion response of plate should be very complicated and is highly coupled with air cushioning effect, particularly, the pitching motion which will alter the transient deadrise angle. However, the existing studies only considered the vertical translational motion, both the horizontal translational motion and pitching motion are restricted. In this paper, the complete motion behavior of plate induced by air cushioning effect during the water impact at small deadrise angles is numerically studied. In the regime of impact velocity and deadrise angle, four typical plate motion patterns have been discovered based on the variation characteristics of pitch angle: pitching-down, fluctuating-pitching-down, pitching-up-down, and pitching-up. To elucidate the underlying mechanism, the water impact process of plate at small deadrise angles is investigated, which contains four distinct stages: keel compression, edge compression, fluid expansion, and reloading. The pitching motion patterns are mainly determined by the keel compression and edge compression stages. In the keel compression stage, the air underneath plate keel is compressed and produces a pitching-down moment; in the following edge compression stage, the air underneath plate edge is heavily compressed and produces a strong pitching-up moment. Further, the influence of impact velocity and deadrise angle on the pitching motion has been investigated.
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References (33)
- O. M. Faltinsen, M. Landrini, and M. Greco, Slamming in marine applications, J. Eng. Math. 48, 187 (2004).
- T. Allen and M. Battley, Quantification of hydroelasticity in water impacts of flexible composite hull panels, Ocean Eng. 100, 117 (2015).
- F. Dias and J. M. Ghidaglia, Slamming: Recent progress in the evaluation of impact pressures, Annu. Rev. Fluid Mech. 50, 243 (2018).
- S. Abrate, Hull slamming, Appl. Mech. Rev. 64, 60803 (2011).
- Y. L. Zheng, Q. L. Qu, P. Q. Liu, X. L. Wen, and Z. C. Zhang, Numerical analysis of the porpoising motion of a blended wing body aircraft during ditching, Aerosp. Sci. Technol. 119, 107131 (2021).
- E.-M. Yettou, A. Desrochers, and Y. Champoux, Experimental study on the water impact of a symmetrical wedge, Fluid Dyn. Res. 38, 47 (2006).
- L. Vincent, T. Xiao, D. Yohann, S. Jung, and E. Kanso, Dynamics of water entry, J. Fluid Mech. 846, 508 (2018).
- Q. L. Qu, R. Wang, H. Guo, P. Q. Liu, and R. K. Agarwal, Numerical study of water impact of an elastic cylindrical shell, AIAA J. 54, 3296 (2016).
- C. O. Ng and S. C. Kot, Computations of water impact on a two-dimensional flat-bottomed body with a volume-of-fluid method, Ocean Eng. 19, 377 (1992).
- M. C. Lin and L. D. Shieh, Simultaneous measurements of water impact on a two-dimensional body, Fluid Dyn. Res. 19, 125 (1997).
- H. Mayer and R. Krechetnikov, Flat plate impact on water, J. Fluid Mech. 850, 1066 (2018).
- R. Krechetnikov, Physics of singularities in pressure-impulse theory, Phys. Rev. Fluids 3, 054003 (2018).
- T. von Kármán, The impact on seaplane floats during landing, Report No. NACA-TN-321 (National Advisory Committee for Aeronautics, Washington, DC, 1929).
- H. Wagner, Über stoß- und gleitvorgänge an der oberfläche von flüssigkeiten, Z. Angew. Math. Mech. 12, 193 (1932).
- S. Okada and Y. Sumi, On the water impact and elastic response of a flat plate at small impact angles, J. Mar. Sci. Technol. 5, 31 (2000).
- J. Bagg, M. Pitto, and T. Allen, Quantification of spatial free-surface air entrapment during rigid body impacts into a quiescent fluid, Ocean Eng. 259, 112060 (2022).
- F. J. Huera-Huarte, D. Jeon, and M. Gharib, Experimental investigation of water slamming loads on panels, Ocean Eng. 38, 1347 (2011).
- S. L. Chuang, Experiments on slamming of wedge shaped bodies, J. Ship Res. 11, 190 (1967).
- Z. H. Ma, D. M. Causon, C. G. Minghan, T. Mai, D. Greaves, and A. Raby, Pure and aerated water entry of a flat plate, Phys. Fluids 28, 016104 (2016).
- U. Jain, P. Vega-Martínez, and D. van der Meer, Air entrapment and its effect on pressure impulses in the slamming of a flat disc on water, J. Fluid Mech. 928, A31 (2021).
- U. Jain, A. Gauthier, D. Lohse, and D. van der Meer, Air-cushioning effect and kelvin-helmholtz instability before the samming of a disk on water, Phys. Rev. Fluids 6, L042001 (2021).
- T. Mai, C. Mai, A. Raby, and D. M. Greaves, Aeration effects on water-structure impacts: Part 1. drop plate impacts, Ocean Eng. 193, 106600 (2019).
- T. Mai, C. Mai, A. Raby, and D. M. Greaves, Hydroelasticity effects on water-structure impacts, Exp. Fluids 61, 191 (2020).
- B. C. Abrahamsen, H. S. Alsos, V. Aune, E. Fagerholt, O. M. Faltinsen, and Φ. Hellan, Hydroplastic response of a square plate due to impact on calm water, Phys. Fluids 32, 082103 (2020).
- S. H. Oh, S. H. Kwon, and J. Y. Chung, A close look at air pocket evolution in flat impact, in Proceedings of the 24th International Workshop on Water Waves and Floating Bodies (Zelenogorsk, Russia 2009), pp. 19–22.
- E. V. Ermanyuk and N. V. Gavrilov, Experimental study of disk impact onto shallow water, J. Appl. Mech. Tech. Phys. 52, 889 (2011).
- S. Tödter, O. el Moctar, J. Neugebauer, and T. E. Schellin, Experimentally measured hydroelastic effects on impact-induced loads during flat water entry and related uncertainties, J. Offshore Mech. Arct. Eng. 142, 011604 (2020).
- H. Xie, H. L. Ren, S. Qu, and H. Y. Tang, Numerical and experimental study on hydroelasticity in water-entry problem of a composite ship-hull structure, Compos. Struct. 201, 942 (2018).
- C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comput. Phys. 39, 201 (1981).
- Q. L. Qu, M. X. Hu, H. Guo, P. Q. Liu, and R. K. Agarwal, Study of ditching characteristics of transport aircraft by global moving mesh method, J. Aircr. 52, 1550 (2015).
- T. Miyamoto and K. Tanizawa, A study of the impact load on ship bow, J. Soc. Nav. Archit. Jpn. 1984, 297 (1984).
- S. Tavakoli, T. Mikkola, and S. Hirdaris, A fluid–solid momentum exchange method for the prediction of hydroelastic responses of flexible water entry problems, J. Fluid Mech. 965, A19 (2023).
- A. Aghaei, S. Schimmels, T. Schlurmann, and A. Hildebrandt, Numerical investigation of the effect of aeration and hydroelasticity on impact loading and structural response for elastic plates during water entry, Ocean Eng. 201, 107098 (2020).