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A unified theory for gas dynamics and aeroacoustics in viscous compressible *** *** fluid

Acta Mechanica Sinica 2022年第12期38卷 65-79,I0002页

作者： Feng Mao Linlin Kang Luoqin Liu Jiezhi Wu State Key Laboratory for Turbulence and Complex Systems College of EngineeringPeking UniversityBeijing100871China Shenzhen Tenfong Technology Co. LTDShenzhen518055China School of Engineering Westlake UniversityHangzhou310024China Department of Modern Mechanics University of Science and Technology of ChinaHefei230026China Physics of Fluids Group University of Twente7500 AEEnschedeThe Netherlands

This paper presents a deep reflection on the advective wave equations for velocity vector and dilatation discovered in the past *** show that these equations can form the theoretical basis of modern gas dynamics,because they dominate not only various complex viscous and heat-conducting gas flows but also their associated longitudinal waves,including aero-generated *** aeroacoustics theory has been developing in a manner quite independently of gas dynamics;it is based on the advective wave equations for thermodynamic variables,say the exact Phillips equation of relative disturbance pressure as a representative ***,these equations do not cover the fluid flow that generates and propagates sound *** using them,one has to assume simplified base-flow models,which we argue is the main theoretical obstacle to identifying sound source and achieving effective noise ***,we show that the Phillips equation and alike is nothing but the first integral of the dilatation equation that also governs the longitudinal part of the flow ***,we conclude that modern aeroacoustics should merge back into the general unsteady gas dynamics as a special branch of it,with dilatation of multiple sources being a new additional and sharper sound variable.

关键词： Gas dynamics-aeroacoustics viscous compressible flow advective wave equations Thermodynamic variables Dilatation Process splitting and coupling

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