变压力场中气泡非线性振荡的数值模拟  

Numeric Analog on Nonlinear Oscillation of Bubbles in Pressure Changing Fluid Field

作　　者：张秀华[1] 赵键[1] 

机构地区：[1]中山大学计算机系,中山大学应用力学与工程系

出　　处：《中山大学学报（自然科学版）》1995年第1期24-29,共6页Acta Scientiarum Naturalium Universitatis Sunyatseni

摘　　要：本文采用计及液体可压缩性的Ｇｉｌｍｏｒｅ方程作为气泡壁面运动的数学模型，并用吉尔方法建立求解非线性常微方程组初值问题的计算程序。通过实例计算，结果表明：气泡在较大幅度的变化压力场中，会发生十分显著的非线性振荡现象；泡壁振荡幅度与压力场变化幅度、颇率及指数脉冲宽度有关。In this paper the Gilmore's equation for the fluid compressibility is employedas the mathematical model for bubble wall motion,and Gill's method is also used tocompile the programs to solve initial value problems of nonlinear differential equations.A number of examples for harmonic or exponential pressure changing field show that thenoulinear oscillation is strong in a high pressure changing field ; the bubble wall oscillat-ing amplitude is concerned with varying amplitude, frequency and width of exponentialpulse of pressure field.

关 键 词：非线性振荡 数值模拟 压力场 气泡动力学 

分 类 号：O359.1[理学—流体力学]