BUBBLE DYNAMICS IN A COMPRESSIBLE LIQUID .2. 2ND-ORDER THEORY
BUBBLE DYNAMICS IN A COMPRESSIBLE LIQUID .2. 2ND-ORDER THEORY
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DOI：
10.1017/s0022112087003185
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发表时间：
1987-12-01
影响因子：
3.7
通讯作者：
PROSPERETTI, A
中科院分区：
文献类型：
--
作者：
LEZZI, A;PROSPERETTI, A
利用气泡壁马赫数的二阶严格奇异摄动方法，研究了可压缩液体中球形气泡的径向动力学。第1部分（Prosperetti & Lezzi, 1986）的结果在0阶和1阶得到恢复。在二阶解中，一般的内外结构不足以正确地描述场，有必要引入一个中间区域，其特征长度为内外尺度的几何平均值。在一阶时发现的径向运动方程的不确定程度随着进入二阶而显著增加。在第1部分中，我们通过与完整的偏微分方程公式的数值积分结果的比较，考察了这个方程的几种可能形式。文中还报道了液体中压力场和速度场的表达式和结果。
The radial dynamics of a spherical bubble in a compressible liquid is studied by means of a rigorous singular-perturbation method to second order in the bubble-wall Mach number. The results of Part 1 (Prosperetti & Lezzi, 1986) are recovered at orders zero and one. At second order the ordinary inner and outer structure of the solution proves inadequate to correctly describe the fields and it is necessary to introduce an intermediate region the characteristic length of which is the geometric mean of the inner and outer lengthscales. The degree of indeterminacy for the radial equation of motion found at first order is significantly increased by going to second order. As in Part 1 we examine several of the possible forms of this equation by comparison with results obtained from the numerical integration of the complete partial-differential-equation formulation. Expressions and results for the pressure and velocity fields in the liquid are also reported.