Homogeneity constraints on the mixed moments of velocity gradient and pressure Hessian in incompressible turbulence

doi:10.1103/PhysRevFluids.8.024601

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	Homogeneity constraints on the mixed moments of velocity gradient and pressure Hessian in incompressible turbulence
	Zhou ZD(周志登); Yang PF(杨平凡)
发表期刊	PHYSICAL REVIEW FLUIDS
	2023-02-03
卷号	8 期号:2 页码:24601
ISSN	2469-990X
摘要	In homogeneous turbulent flow, a relation for the correlation between velocity gra dient mij = aui ax j and pressure Hessian hpij = a2 p axiaxjwas found recently: (tr(mhpm)) = 2((tr(m2))2). We discuss the implications of this relation to the velocity gradient dy 1 namics: together with the Poisson equation for pressure, the homogeneity relation yields an identity between ((tr(m2))2) and the integration of a two point fourth order correlation function of velocity gradient for isotropic flows. Our results indicate that the main contri butions to (tr(mhpm)) come from scales less than roughly 20 times the Kolmogorov scale. Also, the homogeneity relation provides restrictions to the parameters in the closure models of pressure Hessian in velocity gradient dynamics. We further discuss the generalization of this homogeneity relation to turbulent shear flows, and we show numerically that this relation between (tr(mhpm)) and ((tr(m2))2) is approximately satisfied even in the presence of a shear and of a wall, as it occurs in turbulent channel flows.
DOI	10.1103/PhysRevFluids.8.024601
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000928834200004
WOS研究方向	Physics, Fluids & Plasmas
WOS类目	Physics
项目资助者	Natural Science Foundation of China (NSFC) Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics [11988102] ; NSFC [12202452, 11672157, 91852104]
论文分区	二类
力学所作者排名	1
RpAuthor	Yang, PF (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China. ; Yang, PF (corresponding author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China. ; Yang, PF (corresponding author), Tsinghua Univ, Ctr Combust Energy, Beijing 100084, Peoples R China. ; Yang, PF (corresponding author), Tsinghua Univ, Dept Energy & Power Engn, Beijing 100084, Peoples R China.
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/91883
专题	非线性力学国家重点实验室
作者单位	1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 3.Tsinghua Univ, Ctr Combust Energy, Beijing 100084, Peoples R China 4.Tsinghua Univ, Dept Energy & Power Engn, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Zhou ZD,Yang PF. Homogeneity constraints on the mixed moments of velocity gradient and pressure Hessian in incompressible turbulence[J]. PHYSICAL REVIEW FLUIDS,2023,8,2,:24601.
APA	周志登,&杨平凡.(2023).Homogeneity constraints on the mixed moments of velocity gradient and pressure Hessian in incompressible turbulence.PHYSICAL REVIEW FLUIDS,8(2),24601.
MLA	周志登,et al."Homogeneity constraints on the mixed moments of velocity gradient and pressure Hessian in incompressible turbulence".PHYSICAL REVIEW FLUIDS 8.2(2023):24601.

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