声波在浓密悬浮液中传播的改进理论
AN IMPROVED THEORY ABOUT PROPAGATION OF SOUND IN HIGHLY CONCENTRATED SUSPENSIONS
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摘要: 本文对浓密悬浮液中的声传播问题提出了经改进的严格理论。文中对悬浮粒子间多次散射作用不再限于胀缩波,而且也包括了热波和粘滞波。设散射胀缩波波长远大于粒子半径,引入一定统计假定后,求出其他粒子散射热波和粘滞波在给定粒子附近产生的声场,从而由粒子边界条件严格求解。文中还导出了悬浮液有效压缩模量、有效密度等宏观参量的表达式并讨论了频率不太高时的近似解。Abstract: In this paper, an improved theory about propagation of sound in highly concentrated suspensions is elaborated. The thermal wave and the viscous wave as well as the compressional wave are considered in the multiple scattering process among suspended particles. The compressional wave length is assumed to be much longer than the diameter of suspended particles. The sound field caused by the scattering thermal or viscous waves is analysed rigorously under some reasonable statistic hypotheses. The formulas for calculating the effective density and the effective bulk modulus of suspensions are derived and discussed in the paper.