On the governing equations for the compressing process and its coupling with other processes |
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| Authors: | MAO Feng SHI YiPeng XUAN LiJun SU WeiDong & WU JieZhi State Key Laboratory for Turbulence Complex Systems College of Engineering Peking University Beijing China University of Tennessee Space Institute Tullahoma TN USA |
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| Institution: | MAO Feng 1,SHI YiPeng 1,XUAN LiJun 1,SU WeiDong 1 & WU JieZhi 1,2 1 State Key Laboratory for Turbulence and Complex Systems,College of Engineering,Peking University,Beijing 100871,China,2 University of Tennessee Space Institute,Tullahoma,TN 37388,USA |
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| Abstract: | As a continuation of a recent linear analysis by Mao et al.(Acta Mech Sin,2010,26:355),in this paper we propose a general theoretical formulation for the compressing process in complex Newtonian fluid flows,which covers gas dynamics,aeroacoustics,nonlinear thermoviscous acoustics,viscous shock layer,etc.,as its special branches.The principle on which our formulation is based is the maximally natural and dynamic Helmholtz decomposition of the Navier-Stokes equation,along with the kinematic Helmholtz decompos... |
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| Keywords: | longitudinal (compressing) process transversal (shearing) process Helmholtz decomposition aeroacoustics compressible turbulence |
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