Vertical water entry of hyperelastic sphere

WEI Yingjie; YANG Liu; WANG Cong; XIA Weixue; LI Jiachuan

doi:10.7638/kqdlxxb-2019.0132

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Vertical water entry of hyperelastic sphere

更新时间：2026-05-28

- Vertical water entry of hyperelastic sphere
- Vol. 38, Issue 4, Pages: 780-787(2020)
- 作者机构：
  
  1. 哈尔滨工业大学,哈尔滨,150001
  2. 天津航海仪器研究所,天津,300131
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2019.0132
  CLC： TV131.2
- Published：2020
- 稿件说明：
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魏英杰, 杨柳, 王聪, 夏维学, 李佳川. 超弹性球体垂直入水空泡流动研究[J]. 空气动力学学报, 2020, 38(4): 780-787.

WEI Yingjie, YANG Liu, WANG Cong, et al. Vertical water entry of hyperelastic sphere[J]. 2020, 38(4): 780-787.
魏英杰, 杨柳, 王聪, 夏维学, 李佳川. 超弹性球体垂直入水空泡流动研究[J]. 空气动力学学报, 2020, 38(4): 780-787. DOI： 10.7638/kqdlxxb-2019.0132.

WEI Yingjie, YANG Liu, WANG Cong, et al. Vertical water entry of hyperelastic sphere[J]. 2020, 38(4): 780-787. DOI： 10.7638/kqdlxxb-2019.0132.

摘要

采用实验与数值模拟相结合的方法，开展了超弹性球体低速垂直入水空泡流动研究。通过入水实验研究发现了超弹性球体入水后特有的球体变形行为和空泡形态。基于径向基函数的变形插值法和虚功原理的力映射法，对超弹性球体的入水过程进行了流固耦合数值模拟，并将入水空泡形态、位移和变形系数的数值结果与实验数据进行对比，验证了本文数值方法的有效性。在此基础上采用数值模拟方法开展了超弹性球体与刚性球体垂直入水流动特性的对比研究，结果表明：超弹性球体入水后由于变形行为及能量的损耗，使得形成的空泡长度比刚性球体小，空泡宽度比刚性球体大；超弹性球体入水后局部绕流与球体变形导致超弹性球体的表面压力变化范围要比刚性球体大。

Abstract

Experimental and numerical studies on vertical water entry of hyperelastic spheres are performed at low velocity. The unique cavities shapes and deformation behaviors of hyperelastic spheres are observed by experiments. With the interpolation of deformation supported radial basis functions (RBF) and mapping of force used principle of virtual work

the vertical water entry of hyperelastic spheres is simulated numerically. Meanwhile

the validity and reliability of the numerical method are validated by comparing with cavity shape

displacement curve and deformation coefficient curve obtained from the experimental data. The numerical results show that compared with the rigid spheres

we find that the length of air cavities formed elastic spheres is shorter

and the diameter of air cavities formed elastic spheres is bigger because of the sphere deformation and energy loss. Moreover

the surface pressure of the hyperelastic sphere after water entry varies more widely than that of the rigid sphere due to the local turbulence and deformation.

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references

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