| A unified temperature transformation for high-Mach-number flows above adiabatic and isothermal walls | |
Peng C1 ; Huang GP2; Shi YP1; Yang X3; Lv Y(吕钰)4
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| Corresponding Author | Yang, Xiang I. A.([email protected]) ; Lv, Yu([email protected]) |
| Source Publication | JOURNAL OF FLUID MECHANICS
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| 2022-11-10 | |
| Volume | 951Pages:22 |
| ISSN | 0022-1120 |
| Abstract | 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. |
| Keyword | compressible turbulence high-speed flow turbulence modelling |
| DOI | 10.1017/jfm.2022.860 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000880656200001 |
| WOS Keyword | DIRECT NUMERICAL-SIMULATION ; TURBULENT CHANNEL FLOW ; LARGE-EDDY SIMULATION ; BOUNDARY-LAYER ; PASSIVE SCALARS ; REYNOLDS ; DATABASE ; MODEL ; PIPE |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | NSFC[91752202] ; Chinese Academy of Sciences |
| Funding Organization | NSFC ; Chinese Academy of Sciences |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Yang, Xiang I. A. ; Lv, Yu |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/90748 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China; 2.Wright State Univ, Mech & Mat Engn, Dayton, OH 45435 USA; 3.Penn State Univ, Mech Engn, University Pk, PA 16802 USA; 4.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| Recommended Citation 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.Rp_Au:Yang, Xiang I. A., Lv, Yu |
| 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. |
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