超空泡横截面独立膨胀原理解析及其应用

Analysis of supercavity cross section independent expansion principle and its applications

应用能量守恒定律阐释了空泡横截面独立膨胀原理,推导了空泡横截面面积与水中运动物体的相对速度及空化数之间的关系式,对Logvinovich给出的公式作了进一步的完善和扩充,并在此基础上研究了若干种非定常条件下,圆盘后部有限轴对称超空泡长度和形态的非定常变化过程,通过数值算例说明了方法的可行性。本文结论可为水中超空泡航行体的设计提供理论参考,对相关数值计算有重要理论指导意义。

The law of conservation of energy is employed to interpret the supercavity cross section independent expansion principle in this paper. The formula between the cavitaty cross section area and the object relative movement velocity to water and the cavitation number are derived, Logvinovich＇ given formulas are further improved and expanded. And the unsteady changing processes of the posterior limit- ed axisymmetric super cavitation length and form of the disk are studied under several kinds of unsteady conditions basing on this paper＇s investigations ,the feasibility of the method here is illustrated through a given numerical example. In conclusions,it provides theoretical references for the design of water su- per-cavitation navigation body,and have important theoretical guiding significance to the related numerical calculations.