Hostname: page-component-669899f699-chc8l Total loading time: 0 Render date: 2025-04-30T15:53:42.609Z Has data issue: false hasContentIssue false

Research on impact pressures in aerated water entry of a symmetrical wedge

Published online by Cambridge University Press:  29 April 2025

Wencheng Wu
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Longfei Xiao*
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China SJTU-Sanya Yazhou Bay Institute of Deepsea Science and Technology, Sanya 572024, PR China
Yufeng Kou
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Mingyue Liu
Affiliation:
State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China SJTU-Sanya Yazhou Bay Institute of Deepsea Science and Technology, Sanya 572024, PR China
*
Corresponding author: Longfei Xiao, [email protected]

Abstract

In marine and offshore engineering, the presence of air in the water plays a significant role in influencing impact pressures during water entry events. Owing to limited research on the impact loads of aerated water entry, this study aims to explore the effect of aeration on water entry impact pressures. A comprehensive experimental investigation on pure and aerated water entry of a wedge with a 20° deadrise angle was presented. The wire-mesh sensor (WMS) technology was proposed to accurately quantify the spatial and temporal distributions of void fractions in multiphase environments. The WMS provides reliable and consistent measurements at varying void fractions, as validated against image-based methods. The results indicated that the aeration reduced peak impact pressures by up to 33 %, and extended pressure duration, with a linear relationship between impact pressure and void fraction. Furthermore, the probability distribution of peak pressures conformed well to both the generalised extreme value and Weibull distributions, with the void fraction exerting a strong influence on pressure distribution parameters. These findings suggest that controlled aeration can effectively mitigate impact loads, offering practical implications for marine structure design.

Type
JFM Papers
Copyright
© The Author(s), 2025. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Aghaei, A., Schimmels, S., Schlurmann, T. & Hildebrandt, A. 2020 Numerical investigation of the effect of aeration and hydroelasticity on impact loading and structural response for elastic plates during water entry. Ocean Engng 201, 107098.CrossRefGoogle Scholar
Barjasteh, M., Zeraatgar, H. & Javaherian, M.J. 2016 An experimental study on water entry of asymmetric wedges. Appl. Ocean Res. 58, 292304.CrossRefGoogle Scholar
Brennen, C.E. 2005 Fundamentals of Multiphase Flow. Cambridge University Press.CrossRefGoogle Scholar
Bullock, G.N., Crawford, A.R., Hewson, P.J., Walkden, M.J.A. & Bird, P.A.D. 2001 The influence of air and scale on wave impact pressures. Coast. Engng 42 (4), 291312.CrossRefGoogle Scholar
Chuang, S.-L. 1969 Investigation of Impact of Rigid and Elastic Bodies with Water. PhD thesis. The Catholic University of America.Google Scholar
Chuang, W.L. 2022 Experimental investigation on fluid kinematics and impact pressure of flat plate impacts on pure and aerated water. Ocean Engng 266, 112837.CrossRefGoogle Scholar
Crawford, A.R. 1999 Measurement and Analysis of Wave Loading On a Full Scale Coastal Structure. PhD thesis. University of Plymouth.Google Scholar
Detsch, R. & Harris, I. 1989 Dissolution and rise velocity of small air bubbles in water and salt water. In Proceedings OCEANS, vol. 1, pp. 286291. IEEE.CrossRefGoogle Scholar
Dias, F. & Ghidaglia, J.-M. 2018 Slamming: recent progress in the evaluation of impact pressures. Annu. Rev. Fluid Mech. 50 (1), 243273.CrossRefGoogle Scholar
Elhimer, M., El Malki Alaoui, A., Gabillet, C. & Jacques, N. 2022 Measurements of pressure during the forced water entry of a cone into pure and aerated water. J. Fluid. Struct. 113, 103605.CrossRefGoogle Scholar
Elhimer, M., Jacques, N., El Malki Alaoui, A. & Gabillet, C. 2017 The influence of aeration and compressibility on slamming loads during cone water entry. J. Fluid. Struct. 70, 2446.CrossRefGoogle Scholar
Ermanyuk, E.V. & Ohkusu, M. 2005 Impact of a disk on shallow water. J. Fluid. Struct. 20 (3), 345357.CrossRefGoogle Scholar
Eroshin, V.A. et al. 1980 Hydrodynamic forces produced when blunt bodies strike the surface of a compressible fluid. Akademiia Nauk SSSR Izvestiia Mekhanika Zhidkosti I Gaza 15, 4451.Google Scholar
Faltinsen, O.M. 1993 Sea Loads On Ships and Offshore Structures. Vol. 1. Cambridge University Press.Google Scholar
Faltinsen, O.M. 2000 Hydroelastic slamming. J. Mar. Sci. Tech. 5 (2), 4965.CrossRefGoogle Scholar
Faltinsen, O.M., Landrini, M. & Greco, M. 2004 Slamming in marine applications. J. Engng Maths 48 (3), 187217.CrossRefGoogle Scholar
Hong, J., Wei, K., Shen, Z., Xu, B. & Qin, S. 2021 Experimental study of breaking wave loads on elevated pile cap with rectangular cross-section. Ocean Engng 227, 108878.CrossRefGoogle Scholar
Hong, Y., Wang, B. & Liu, H. 2021 Experimental and numerical study on hydrodynamic impact of a disk in pure and aerated water. Proc. Inst. Mech. Engrs M: J. Engng Mar. Environ. 235 (1), 152164.Google Scholar
Howison, S.D., Ockendon, J.R. & Wilson, S.K. 1991 Incompressible water-entry problems at small deadrise angles. J. Fluid Mech. 222, 215230.CrossRefGoogle Scholar
Huera-Huarte, F.J., Jeon, D. & Gharib, M. 2011 Experimental investigation of water slamming loads on panels. Ocean Engng 38 (11–12), 13471355.CrossRefGoogle Scholar
Jain, U., Novaković, V., Bogaert, H. & van der Meer, D. 2022 On wedge-slamming pressures. J. Fluid Mech. 934, A27.CrossRefGoogle Scholar
Kapsenberg, G.K. 2011 Slamming of ships: where are we now? Phil. Trans. R. Soc. Lond. A: Math. Phys. Engng Sci. 369 (1947), 28922919.Google ScholarPubMed
von Karman, T. 1929 The impact on sea plane floats during landing. Technical Report no. NACA-TN-321. Aerodynamical Institute of the Technical High School, Aachen.Google Scholar
Kimmoun, O., Ratouis, A. & Brosset, L. 2012 Influence of a bubble curtain on the impact of waves on a vertical wall. In ISOPE International Ocean and Polar Engineering Conference. ISOPE.Google Scholar
Korobkin, A. 1994 Blunt-body impact on the free surface of a compressible liquid. J. Fluid Mech. 263, 319342.CrossRefGoogle Scholar
Korobkin, A. 2004 Analytical models of water impact. Eur. J. Appl. Maths 15 (6), 821838.CrossRefGoogle Scholar
Kottegoda, N.T. & Rosso, R. 1997 Statistics, Probability and Reliability for Civil and Environmental Engineers. McGraw-Hill Publishing Company.Google Scholar
Kowe, R., Hunt, J.C.R., Hunt, A., Couet, B. & Bradbury, L.J.S. 1988 The effects of bubbles on the volume fluxes and the pressure gradients in unsteady and non-uniform flow of liquids. Intl J. Multiphase Flow 14 (5), 587606.CrossRefGoogle Scholar
Lafeber, W., Bogaert, H. & Brosset, L. 2012 Elementary loading processes (ELP) involved in breaking wave impacts: findings from the Sloshel project. In ISOPE International Ocean and Polar Engineering Conference. ISOPE.Google Scholar
Liger-Belair, G., Marchal, R., Robillard, B., Dambrouck, T., Maujean, A., Vignes-Adler, M. & Jeandet, P. 2000 On the velocity of expanding spherical gas bubbles rising in line in supersaturated hydroalcoholic solutions: application to bubble trains in carbonated beverages. Langmuir 16 (4), 18891895.CrossRefGoogle Scholar
Ma, Z.H., Causon, D.M., Qian, L., Mingham, C.G., Gu, H.B. & Ferrer, P.M.D. 2014 A compressible multiphase flow model for violent aerated wave impact problems. Proc. R. Soc. Lond. A: Math. Phys. Engng Sci. 470 (2172), 20140542.Google Scholar
Ma, Z.H., Causon, D.M., Qian, L., Mingham, C.G., Mai, T., Greaves, D. & Raby, A. 2016 Pure and aerated water entry of a flat plate. Phys. Fluids 28 (1), 016104.CrossRefGoogle Scholar
Mai, T., Mai, C., Raby, A. & Greaves, D.M. 2019 a Aeration effects on water–structure impacts: Part 1. Drop plate impacts. Ocean Engng 193, 106600.CrossRefGoogle Scholar
Mai, T., Mai, C., Raby, A. & Greaves, D.M. 2019 b Aeration effects on water–structure impacts: Part 2. Wave impacts on a truncated vertical wall. Ocean Engng 186, 106053.CrossRefGoogle Scholar
Mei, X., Liu, Y. & Yue, D.K.P. 1999 On the water impact of general two-dimensional sections. Appl. Ocean Res. 21 (1), 115.CrossRefGoogle Scholar
Park, J., Choi, J.H., Lee, H.-H. & Rhee, S.H. 2020 Experimental study on the effects of stern bulb arrangement on the slamming load. Intl J. Naval Arch. Ocean Engng 12, 518530.CrossRefGoogle Scholar
Parsons, F.G. & Wirsching, P.H. 1982 A Kolmogorov–Smirnov goodness-of-fit test for the two-parameter Weibull distribution when the parameters are estimated from the data. Microelectron. Reliability 22 (2), 163167.CrossRefGoogle Scholar
Prasser, H.M., Böttger, A. & Zschau, J. 1998 A new electrode-mesh tomograph for gas–liquid flows. Flow Meas. Instrum. 9 (2), 111119.CrossRefGoogle Scholar
Qiu, S., Ren, H. & Li, H. 2020 Computational model for simulation of lifeboat free-fall during its launching from ship in rough seas. J. Mar. Sci. Engng 8 (9), 631.CrossRefGoogle Scholar
Raby, A., Bullock, G., Jonathan, P., Randell, D. & Whittaker, C. 2022 On wave impact pressure variability. Coast. Engng 177, 104168.CrossRefGoogle Scholar
Seddon, C.M. & Moatamedi, M. 2006 Review of water entry with applications to aerospace structures. Intl J. Impact Engng 32 (7), 10451067.CrossRefGoogle Scholar
Tompkins, C., Prasser, H.M. & Corradini, M. 2018 Wire-mesh sensors: a review of methods and uncertainty in multiphase flows relative to other measurement techniques. Nucl. Engng Des. 337, 205220.CrossRefGoogle Scholar
Van Nuffel, D. 2014 Experimental Study of the Slamming Induced Pressures, Forces and Deformations of Quasi-Rigid and Deformable Bodies during Vertical Water Entry. PhD thesis. Ghent University.Google Scholar
Van Nuffel, D., Vepa, K.S., De Baere, I., Lava, P., Kersemans, M., Degrieck, J., De Rouck, J. & Van Paepegem, W. 2014 A comparison between the experimental and theoretical impact pressures acting on a horizontal quasi-rigid cylinder during vertical water entry. Ocean Engng 77, 4254.CrossRefGoogle Scholar
Wagner, H. 1932 Über stoß-und gleitvorgänge an der oberfläche von flüssigkeiten. J. Appl. Maths Mech. 12 (4), 193215.Google Scholar
Walkden, M.J.A. 1999 Model Wave Impulse Loads On Caisson Breakwater Aeration, Scale and Structural Response. PhD thesis. University of Plymouth.Google Scholar
Worthington, A.M. 1908 A Study of Splashes. Longmans, Green, and Company.Google Scholar
Wu, W., Liu, M., Xiao, L., Shan, M., Kou, Y., Li, K. & Guo, J. 2024 Experimental study of wave impact pressure impulse and characteristic pressure on the fixed four-rounded-square-column array in focused waves. Ocean Engng 311, 118829.CrossRefGoogle Scholar
Yang, Y. & Xiong, J. 2023 Unified two-component interfacial area concentration model for narrow channel two-phase flow. Intl J. Multiphase Flow 163, 104428.CrossRefGoogle Scholar
Yettou, E.-M., Desrochers, A. & Champoux, Y. 2006 Experimental study on the water impact of a symmetrical wedge. Fluid Dyn. Res. 38 (1), 4766.CrossRefGoogle Scholar
Ylönen, A., Bissels, W.M. & Prasser, H.M. 2011 Single-phase cross-mixing measurements in a 4 × 4 rod bundle. Nucl. Engng Des. 241 (7), 24842493.CrossRefGoogle Scholar
Zhang, N., Xiao, L., Peng, T., Guo, Y. & Chen, G. 2024 Wave impact pressure and pressure impulse on a square column with an overhanging deck in regular waves. Mar. Struct. 95, 103604.CrossRefGoogle Scholar
Zhao, R. & Faltinsen, O. 1993 Water entry of two-dimensional bodies. J. Fluid Mech. 246, 593612.CrossRefGoogle Scholar
Supplementary material: File

Wu et al. supplementary material 1

Wu et al. supplementary material
Download Wu et al. supplementary material 1(File)
File 22.1 MB
Supplementary material: File

Wu et al. supplementary material 2

Wu et al. supplementary material
Download Wu et al. supplementary material 2(File)
File 326.2 KB