考虑辐射声波传播时延的气泡动力学方程数值计算

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中图分类号：TP39；0426.4 文献标识码：A 文章编号：2096-4706（2025）15-0101-08

Abstract： The dynamic equations ofa single bubble neararigid walland double bubbles inan unboundedliquid driven by ultrasoundareintroducedconsideringthe propagationdelayofbubble-radiatedacoustic waves.Anumericalmethdforsolving the dynamic equations of delayed bubbles based on the MATAB programming language is proposed.Usingthis method，the changeibubbleradiusovertimeintheabovetwoenvironments iscalculated，considering thetimedelayofbubble-radiated acoustic wave propagation，andcompared withbubble pulsationwithoutconsidering thetimedelay.Theresearch shows that thereisacertain diference betweenthebubbleradiuschangeconsideringthetimedelayand thatwithoutconsideringit.This diferencegraduallydecreaseswiththeincreaseinthedistancebetweenthebubbleandtherigidwallortheincreaseinthe distance between the twobubbles.The metod can effectively calculate bubble pulsation in diferent environments considering thetimedelaymakingthecalculationresultsoftebubblepulsationprocessclosertotherealsituation，whichisouciveto theaccuratecontrolof thedynamicbehaviorof thecavitationbubble.

Keywords： ultrasonic cavitation; bubble pulsation; sound propagation delay; numerical calculation

0 引言

在大功率超声波的作用下，液体中的气核会逐渐成长为微米量级或更大尺寸的可见空化泡。（剩余11455字）