Subgrid scale fluid velocity timescales seen by inertial particles in large-eddy simulation of particle-laden turbulence

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	Subgrid scale fluid velocity timescales seen by inertial particles in large-eddy simulation of particle-laden turbulence
	Jin GD(晋国栋); He GW(何国威); Wang LP; Zhang J(张健)
刊名	International Journal of Multiphase Flow
	2010
通讯作者邮箱	hgw@lnm.imech.ac.cn ;guoweihe@yahoo.com
卷号	36 期号:5 页码:432–437
关键词	Particle-laden turbulent flows Large-eddy simulation Stochastic model Particle-subgrid scale model Particle-subgrid scale eddy interaction timescale
ISSN号	0301-9322
通讯作者	何国威
合作状况	国际
中文摘要	Large-eddy simulation (LES) has emerged as a promising tool for simulating turbulent flows in general and, in recent years,has also been applied to the particle-laden turbulence with some success (Kassinos et al., 2007). The motion of inertial particles is much more complicated than fluid elements, and therefore, LES of turbulent flow laden with inertial particles encounters new challenges. In the conventional LES, only large-scale eddies are explicitly resolved and the effects of unresolved, small or subgrid scale (SGS) eddies on the large-scale eddies are modeled. The SGS turbulent flow field is not available. The effects of SGS turbulent velocity field on particle motion have been studied by Wang and Squires (1996), Armenio et al. (1999), Yamamoto et al. (2001), Shotorban and Mashayek (2006a,b), Fede and Simonin (2006), Berrouk et al. (2007), Bini and Jones (2008), and Pozorski and Apte (2009), amongst others. One contemporary method to include the effects of SGS eddies on inertial particle motions is to introduce a stochastic differential equation (SDE), that is, a Langevin stochastic equation to model the SGS fluid velocity seen by inertial particles (Fede et al., 2006; Shotorban and Mashayek, 2006a; Shotorban and Mashayek, 2006b; Berrouk et al., 2007; Bini and Jones, 2008; Pozorski and Apte, 2009).However, the accuracy of such a Langevin equation model depends primarily on the prescription of the SGS fluid velocity autocorrelation time seen by an inertial particle or the inertial particle–SGS eddy interaction timescale (denoted by $\delt T_{Lp}$ and a second model constant in the diffusion term which controls the intensity of the random force received by an inertial particle (denoted by C_0, see Eq. (7)). From the theoretical point of view, dTLp differs significantly from the Lagrangian fluid velocity correlation time (Reeks, 1977; Wang and Stock, 1993), and this carries the essential nonlinearity in the statistical modeling of particle motion. dTLp and C0 may depend on the filter width and particle Stokes number even for a given turbulent flow. In previous studies, dTLp is modeled either by the fluid SGS Lagrangian timescale (Fede et al., 2006; Shotorban and Mashayek, 2006b; Pozorski and Apte, 2009; Bini and Jones, 2008) or by a simple extension of the timescale obtained from the full flow field (Berrouk et al., 2007). In this work, we shall study the subtle and on-monotonic dependence of $\delt T_{Lp}$ on the filter width and particle Stokes number using a flow field obtained from Direct Numerical Simulation (DNS). We then propose an empirical closure model for $\delta T_{Lp}$. Finally, the model is validated against LES of particle-laden turbulence in predicting single-particle statistics such as particle kinetic energy. As a first step, we consider the particle motion under the one-way coupling assumption in isotropic turbulent flow and neglect the gravitational settling effect. The one-way coupling assumption is only valid for low particle mass loading.
学科主题	流体力学
类目[WOS]	Mechanics
研究领域[WOS]	Mechanics
关键词[WOS]	ISOTROPIC TURBULENCE ; HEAVY-PARTICLES ; DISPERSION ; MOTION ; FLOW ; CHANNEL
收录类别	SCI
资助信息	CAS (KJCX2-SW-L08); 973 Program of China (2007CB814800), NSFC (10628206, 10732090, 10702074), the LNM initial funding for young investigators and SRF for ROCS, SEM.
语种	英语
WOS记录号	WOS:000276584400008
公开日期	2010-05-25
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/33088]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Jin GD,He GW,Wang LP,et al. Subgrid scale fluid velocity timescales seen by inertial particles in large-eddy simulation of particle-laden turbulence[J]. International Journal of Multiphase Flow,2010,36(5):432–437.
APA	晋国栋,何国威,Wang LP,&张健.(2010).Subgrid scale fluid velocity timescales seen by inertial particles in large-eddy simulation of particle-laden turbulence.International Journal of Multiphase Flow,36(5),432–437.
MLA	晋国栋,et al."Subgrid scale fluid velocity timescales seen by inertial particles in large-eddy simulation of particle-laden turbulence".International Journal of Multiphase Flow 36.5(2010):432–437.