水下爆炸气泡运动的理论研究

在适当深度的无黏、无旋的流体中对水下爆炸气泡运动特性进行理论研究。综合运用势流理论、能量方程以及拉格朗日方程建立气泡在不可压缩流体中的运动方程。并以此为基础,考虑重力、浮力以及阻力等多种因素对气泡运动特性的影响,通过引入新的边界积分方程,结合分析力学中完整非保守系统的Hamilton原理建立气泡在可压缩流体中的运动微分方程,并对微分方程进行求解。将方程的数值解与MSC.DYTRAN非线性有限元软件的计算结果以及经验公式进行对比,方程数值解与二者都具有较好的一致性。结果表明,基于非保守系统可压缩流体建立的气泡运动方程正确、可行,相关的理论研究和计算具有一定参考价值。

Research on the bubble motion in underwater explosion

A model for a moderately deep underwater explosion bubble in inviscid and irrotational fluid is developed.Equations of motion (EOM) for bubble in incompressible fluid are established by using the potential-flow theory,the energy equation and the Lagrangian equation.By considering the effects of the gravity,the buoyancy,the drag to the motion of bubble,a new EOM for bubble is established according to the Hamilton principle and the boundary-integral equation.The radial displacement histories and impulse periods of bubble were acquired by solving the EOM.By comparison,it is shown that our results are in good agreement with the experimental results.