| 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)
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| Source Publication | PHYSICAL REVIEW FLUIDS
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| 2023-02-03 | |
| Volume | 8Issue:2Pages:24601 |
| ISSN | 2469-990X |
| Abstract | 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 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000928834200004 |
| WOS Research Area | Physics, Fluids & Plasmas |
| WOS Subject | Physics |
| Funding Organization | Natural Science Foundation of China (NSFC) Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics [11988102] ; NSFC [12202452, 11672157, 91852104] |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | 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. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/91883 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 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 |
| Recommended Citation 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.Rp_Au: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. |
| 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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| Jp2023A256.pdf（454KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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