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    Title: A PDF Description of Momentum Fluctuation Correlations of a Rarefied Free Shear Layer
    Authors: Hong, Zuu-chang;Zhen, C. E.;Yang, C. Y.
    Contributors: 淡江大學機械與機電工程學系
    Keywords: DSMC;Free shear layer;PDF;Fluctuation correlation function
    Date: 2006-06
    Issue Date: 2013-03-12 11:23:42 (UTC+8)
    Publisher: 臺北市:中華民國力學學會
    Abstract: The mixing properties of various orders of fluctuation correlations are investigated in the present paper for a rarefied gas free shear layer at hypersonic speed. The molecular kinetic theory and the direct simulation Monte Carlo (DSMC) method are employed for the present calculations. The Reynolds average process is assumed in obtaining the correlation functions. The results show that flow field structure was very similar to that of continuum flow ones at high Reynolds numbers. The probability density functions (pdf) in velocity space f(u′),f(v′), and f(u′, v′) are also calculated to counter explain the distributions of the correlation functions in the mixing layer. From the calculated distributions of the fluctuation correlation functions, <u′v′>, <u′2 v′>, and <v′2 u′>, one can find that the distributions behave similar to the turbulent transport phenomena in that of a continuum flow one. The distributions of the fluctuation correlation functions, <u′, v′> is described via the joint probability density function, f(u′, v′). The behavior of the higher-order fluctuation correlation functions, <u′2 v′>, <u′3> and <u′4 >, are also explained via the probability density function.
    Relation: Journal of Mechanics 22(2), pp.85-92
    DOI: 10.1017/S1727719100004378
    Appears in Collections:[機械與機電工程學系暨研究所] 期刊論文

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