Numerical Research of the Water Entry of Hyperelastic Spheres Within Low Froude Numbers

The water-entry process of solid and hollow hyperelastic spheres was numerically simulated using the arbitrary Lagrange–Euler method, based on the finite element analysis software LS-DYNA. The effect of the different initial velocities on the cavity evolution and deformation of the sphere in a range...

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Main Authors: L. Zhang, R. Xie, H. Jia
Format: Article
Language:English
Published: Isfahan University of Technology 2025-01-01
Series:Journal of Applied Fluid Mechanics
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Online Access:https://www.jafmonline.net/article_2593_9c001299ec7ec402d5557f09f45642aa.pdf
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author L. Zhang
R. Xie
H. Jia
author_facet L. Zhang
R. Xie
H. Jia
author_sort L. Zhang
collection DOAJ
description The water-entry process of solid and hollow hyperelastic spheres was numerically simulated using the arbitrary Lagrange–Euler method, based on the finite element analysis software LS-DYNA. The effect of the different initial velocities on the cavity evolution and deformation of the sphere in a range of low Froude (Fr) numbers was investigated. The evolution of the cavity, deformation of the hyperelastic sphere and parameters at the time of cavity closure were analysed. In addition, the difference in the water-entry process between solid and hollow spheres was given. The numerical results shows that the size of the cavity, fluctuation on the cavity profile, closure time and closure depth increased with Fr and that the closure time was proportional to Fr1/2 for both solid and hollow spheres. However, the relationship between the closure depth and Fr of the hollow sphere differed from that of the solid one. Within the investigated low Froude numbers, whether for the solid or hollow spheres, the deformation amplitude increased with the Froude number. However, the deformation period remained nearly the same for different conditions. Under the same physical and motion parameters, the hollow sphere exhibited larger deformations compared with the solid sphere. The deformation period for the hollow sphere was also longer than that for the solid one.
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spelling doaj-art-1539e01391674b689cb9cc3a657ec7632025-01-05T06:26:54ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35721735-36452025-01-0118382183410.47176/jafm.18.3.25582593Numerical Research of the Water Entry of Hyperelastic Spheres Within Low Froude NumbersL. Zhang0R. Xie1H. Jia2National-Provincial Joint Engineering Laboratory for Fluid Transmission System Technology, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaNational-Provincial Joint Engineering Laboratory for Fluid Transmission System Technology, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaNational-Provincial Joint Engineering Laboratory for Fluid Transmission System Technology, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaThe water-entry process of solid and hollow hyperelastic spheres was numerically simulated using the arbitrary Lagrange–Euler method, based on the finite element analysis software LS-DYNA. The effect of the different initial velocities on the cavity evolution and deformation of the sphere in a range of low Froude (Fr) numbers was investigated. The evolution of the cavity, deformation of the hyperelastic sphere and parameters at the time of cavity closure were analysed. In addition, the difference in the water-entry process between solid and hollow spheres was given. The numerical results shows that the size of the cavity, fluctuation on the cavity profile, closure time and closure depth increased with Fr and that the closure time was proportional to Fr1/2 for both solid and hollow spheres. However, the relationship between the closure depth and Fr of the hollow sphere differed from that of the solid one. Within the investigated low Froude numbers, whether for the solid or hollow spheres, the deformation amplitude increased with the Froude number. However, the deformation period remained nearly the same for different conditions. Under the same physical and motion parameters, the hollow sphere exhibited larger deformations compared with the solid sphere. The deformation period for the hollow sphere was also longer than that for the solid one.https://www.jafmonline.net/article_2593_9c001299ec7ec402d5557f09f45642aa.pdfwater entryfluid-structure interactiondeformationcavityclosure time
spellingShingle L. Zhang
R. Xie
H. Jia
Numerical Research of the Water Entry of Hyperelastic Spheres Within Low Froude Numbers
Journal of Applied Fluid Mechanics
water entry
fluid-structure interaction
deformation
cavity
closure time
title Numerical Research of the Water Entry of Hyperelastic Spheres Within Low Froude Numbers
title_full Numerical Research of the Water Entry of Hyperelastic Spheres Within Low Froude Numbers
title_fullStr Numerical Research of the Water Entry of Hyperelastic Spheres Within Low Froude Numbers
title_full_unstemmed Numerical Research of the Water Entry of Hyperelastic Spheres Within Low Froude Numbers
title_short Numerical Research of the Water Entry of Hyperelastic Spheres Within Low Froude Numbers
title_sort numerical research of the water entry of hyperelastic spheres within low froude numbers
topic water entry
fluid-structure interaction
deformation
cavity
closure time
url https://www.jafmonline.net/article_2593_9c001299ec7ec402d5557f09f45642aa.pdf
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