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A unified temperature transformation for high-Mach-number flows above adiabatic and isothermal walls

文献类型：期刊论文

作者Peng C4; Huang GP3; Shi YP4; Yang X2; Lv Y(吕钰)1
刊名JOURNAL OF FLUID MECHANICS
出版日期2022-11-10
卷号951页码:22
ISSN号0022-1120
关键词compressible turbulence high-speed flow turbulence modelling
DOI10.1017/jfm.2022.860
通讯作者Yang, Xiang I. A.(xzy48@psu.edu) ; Lv, Yu(lvyu@imech.ac.cn)
英文摘要The mean velocity follows a logarithmic scaling in the surface layer when normalized by the friction velocity, i.e. a velocity scale derived from the wall-shear stress. The same logarithmic scaling exists for the mean temperature when one normalizes the temperature with the friction temperature, i.e. a scale derived from the wall heat flux. This temperature normalization poses challenges to adiabatic walls, for which the wall heat flux is zero, and the logarithmic temperature scaling becomes singular. This paper aims to establish a temperature transformation that applies to both isothermal walls and adiabatic walls. We show that by accounting for the diffusive flux, both the Van Driest transformation and the semi-local transformation (and other transformations alike) apply to adiabatic walls. We also show that the classic Walz equation works well for adiabatic walls because it models the diffusive flux, albeit in a rather crude way. For validation/testing, we conduct direct numerical simulations of supersonic Couette flows at Mach numbers M = 1, 3 and 6, and various Reynolds numbers. The two walls are adiabatic, and a source term is included to cancel the aerodynamic heating in the domain. We show that the adiabatic wall data collapse onto the same incompressible logarithmic law of the wall like the isothermal wall data.
分类号一类/力学重要期刊
WOS关键词DIRECT NUMERICAL-SIMULATION ; TURBULENT CHANNEL FLOW ; LARGE-EDDY SIMULATION ; BOUNDARY-LAYER ; PASSIVE SCALARS ; REYNOLDS ; DATABASE ; MODEL ; PIPE
资助项目NSFC[91752202] ; Chinese Academy of Sciences
WOS研究方向Mechanics ; Physics
语种英语
WOS记录号WOS:000880656200001
资助机构NSFC ; Chinese Academy of Sciences
其他责任者Yang, Xiang I. A. ; Lv, Yu
源URL[http://dspace.imech.ac.cn/handle/311007/90747]  
专题力学研究所_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.Penn State Univ, Mech Engn, University Pk, PA 16802 USA;
3.Wright State Univ, Mech & Mat Engn, Dayton, OH 45435 USA;
4.Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China;
推荐引用方式
GB/T 7714		 Peng C,Huang GP,Shi YP,et al. A unified temperature transformation for high-Mach-number flows above adiabatic and isothermal walls[J]. JOURNAL OF FLUID MECHANICS,2022,951:22.
APA Peng C,Huang GP,Shi YP,Yang X,&吕钰.(2022).A unified temperature transformation for high-Mach-number flows above adiabatic and isothermal walls.JOURNAL OF FLUID MECHANICS,951,22.
MLA Peng C,et al."A unified temperature transformation for high-Mach-number flows above adiabatic and isothermal walls".JOURNAL OF FLUID MECHANICS 951(2022):22.

入库方式： OAI收割

来源：力学研究所

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