A synthetic Schlieren method for laboratory measuring density profiles of a stratified fluid
文献类型:期刊论文
作者 | Li, Huixin2,3; Liu, Haihan1,3; Xu, Duo2,3![]() ![]() |
刊名 | EXPERIMENTAL THERMAL AND FLUID SCIENCE
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出版日期 | 2024-08-01 |
卷号 | 157页码:9 |
关键词 | Synthetic Schlieren Density stratification Ray tracing |
ISSN号 | 0894-1777 |
DOI | 10.1016/j.expthermflusci.2024.111242 |
通讯作者 | Xu, Duo(duo.xu@imech.ac.cn) |
英文摘要 | A synthetic Schlieren method is developed to measure the density field of a stratified fluid. A transparent sheet of background markers is attached on one side of a tank which is made of acrylic plates, and a camera is positioned on the opposite side of the tank. The markers are virtually displaced due to light refraction in the stratified fluid in the tank, in reference to those from the water tank. The governing equation is derived based on the observation that the marker displacements depend on the light refraction at the interface of media, the refractive indices of the transparent liquids and their spatial gradient. The density of the fluid is associated with the refractive index via the relationship obtained in a calibration process. We solve this governing equation, an over-determined system with only the target variable unknown, using the optimization method. We examine the present method by performing laboratory experiments for two cases of the density stratification, i.e., a linear stratification and a pycnocline. We also carry out ray tracing simulations of three characteristic density profiles (i.e., a linear stratification, a nonlinear stratification and a pycnocline). The present method is compared with the method of solving the Poisson equation in detail, emphasizing the difference between the two methods. Measurement uncertainty is discussed at last. |
WOS关键词 | INTERNAL WAVE EXCITATION ; MOTION ; PIV |
资助项目 | National Natural Science Foundation of China[11988102] ; National Natural Science Foundation of China[92152106] ; China Postdoctoral Science Foundation[2023M733589] |
WOS研究方向 | Thermodynamics ; Engineering ; Physics |
语种 | 英语 |
WOS记录号 | WOS:001333641200001 |
资助机构 | National Natural Science Foundation of China ; China Postdoctoral Science Foundation |
源URL | [http://dspace.imech.ac.cn/handle/311007/96996] ![]() |
专题 | 力学研究所_非线性力学国家重点实验室 |
通讯作者 | Xu, Duo |
作者单位 | 1.Xinjiang Univ, Sch Future Technol, 777 Huarui St, Uromqi 830046, Xinjiang, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, 1 Yanqihu East Rd, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, 15 Beisihuanxi Rd, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Huixin,Liu, Haihan,Xu, Duo,et al. A synthetic Schlieren method for laboratory measuring density profiles of a stratified fluid[J]. EXPERIMENTAL THERMAL AND FLUID SCIENCE,2024,157:9. |
APA | Li, Huixin,Liu, Haihan,Xu, Duo,&徐多.(2024).A synthetic Schlieren method for laboratory measuring density profiles of a stratified fluid.EXPERIMENTAL THERMAL AND FLUID SCIENCE,157,9. |
MLA | Li, Huixin,et al."A synthetic Schlieren method for laboratory measuring density profiles of a stratified fluid".EXPERIMENTAL THERMAL AND FLUID SCIENCE 157(2024):9. |
入库方式: OAI收割
来源:力学研究所
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