Dynamics of Vapor Bubble in a Variable Pressure Field

作     者：Kirill V.Rozhdestvensky Kirill V.Rozhdestvensky

作者机构：Department of Applied Mathematics and Mathematical ModelingSaint Petersburg State Marine Technical University190121 Saint PetersburgRussia 

出 版 物：《Journal of Marine Science and Application》 (船舶与海洋工程学报（英文版）)

年 卷 期：2022年第21卷第3期

页      面：83-98页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Supported by the Ministry of Science and Higher Education of the Russian Federation as part of the World-class Research Center Program:Advanced Digital Technologies(contract No.075-15-2020-903 dated 16.11.2020) 

主　　题：Thin foil theory Matched expansions method Rayleigh-Plesset equation Bubble cavitation Vapor bubble dynamics Bubble collapse Cavitation noise spectra 

摘      要：This paper presents analytical and numerical results of vapor bubble dynamics and acoustics in a variable pressure ***,a classical model problem of bubble collapse due to sudden pressure increase is *** this problem,the Rayleigh–Plesset equation is treated considering gas content,surface tension,and viscosity,displaying possible multiple expansion–compression ***,a similar investigation is conducted for the case when the bubble originates near the rounded leading edge of a thin and slightly curved foil at a small angle of *** the flow field around the foil is constructed using the method of matched asymptotic *** outer flow past the hydrofoil is described by linear(small perturbations)theory,which furnishes closed-form solutions for any analytical *** stretching local coordinates inversely proportionally to the radius of curvature of the rounded leading edge,the inner flow problem is derived as that past a semi-infinite osculating parabola for any analytical foil with a rounded leading *** that the pressure outside the bubble at any moment of time is equal to that at the corresponding point of the streamline,the dynamics problem of a vapor bubble is reduced to solving the Rayleigh-Plesset equation for the spherical bubble evolution in a time-dependent pressure *** the case of bubble collapse in an adverse pressure field,the spectral parameters of the induced acoustic pressure impulses are determined similarly to equivalent triangular *** present analysis can be extended to 3D flows around wings and screw *** this case,the outer expansion of the solution corresponds to a linear lifting surface theory,and the local inner flow remains quasi-2D in the planes normal to the planform contour of the leading edge of the wing(or screw propeller blade).Note that a typical bubble contraction time,ending up with its collapse,is very small compared to typical time of any variation in the f