Mathematical Simulation of Unsteady Ventilated Supercavitation
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摘要: 针对人工通气超空泡涉及因素多、时变特性强、实现难度大、成本代价高的复杂工程问题, 开展了非定常人工通气超空泡数学仿真研究。根据Logvinovich的空泡截面扩展独立性原理, 建立了非定常通气超空泡形态模型,给出了仿真计算方法, 对影响超空泡形态的因素进行了动态仿真计算, 得到了不同充气参数和运动参数下空泡形态变化规律以及与航行体表面的相对位置关系, 提出了满足航行体高速运动稳定的空泡闭合位置要求。研究结果对水下高速航行体的通气系统设计和航行性能设计均具有重要的参考价值, 并可为工程应用研究提供理论基础。Abstract: Considering the complex factors concerned in ventilated supercavitation, such as time-variable characteristic, difficult realization and high cost, mathematical simulation of unsteady ventilated supercavitation is studied. Based on the principle of independence of cavity sections expansion(Logvinovich′s principle), an model of unsteady ventilated supercavitation is established, and corresponding simulation method is presented. The factors influencing supercavita-tion shape are simulated dynamically. Consequently, the supercavitation′s shape change regularity and its relative posi-tion to underwater vehicle surface are obtained at different ventilation parameters and moving parameters, and the re-quirements of cavity close position for satisfying vehicle high-speed steady motion are proposed. This study may offer a reference for designing ventilating system and running capability of an underwater high-speed vehicle.
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