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A closure model on velocity structure functions in homogeneous isotropic turbulence

Applied Mathematics and Mechanics(English Edition) 2017年第11期38卷 1627-1634页

作者： Le FANG Feng GAO Laboratory of Mathematics and Physics Ecole Centrale de Pekin Beihang University Beijing 100191 China Co-Innovation Center for Advanced Aero-Engine Beihang University Beijing 100191 China Faculty of Engineering and Physical Sciences University of Surrey Guildford GU2 7XH U. K.

closure models started from Chou＇s work have been developed for more than 70 years, aiming at providing analytical tools to describe turbulent flows in the spectral space. In this study, a preliminary attempt is presented to introduce a closure model in the physical space, using the velocity structure functions as key parameters. The present closure model appears to qualitatively reproduce the asymptotic scaling behav- iors at small and large scales, despite some inappropriate behaviors such as oscillations. Therefore, further improvements of the present model are expected to provide appropriate descriptions of turbulent flows in the physical space.

关键词： homogeneous isotropic turbulence closure model structure function

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EFFECTS OF TENSOR closure modelS AND 3-D ORIENTATION ON THE STABILITY OF FIBER SUSPENSIONS IN A CHANNEL FLOW

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Applied Mathematics and Mechanics(English Edition) 2005年第3期26卷 307-312页

作者：游振江林建忠 Department of Mechanics State Key Laboratory of Fluid Power Transmission and ControlZhejiang University Hangzhou 310027 P.R.China

Three different kinds of closure model of fiber orientation tensors were applied to simulate numerically the hydrodynamic stability of fiber suspensions in a channel flow. The effects of closure models and three_dimensional (3_D) orientation distribution of fibers on the results of stability analysis were examined. It is found that the relationship of the behavior in hydrodynamic stability and the parameter of the fiber given by all the three models are the same. However, the attenuation of flow instability is most distinct using 3_D hybrid model because the orientation of the fiber departures from the flow direction, and least apparent using its 2_D counterpart for that the fibers show a tendency towards alignment with the flow direction in this case.

关键词： fiber suspension hydrodynamic stability channel flow closure model fiber orientation

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