A single-camera synthetic Schlieren method for the measurement of free liquid surfaces

doi:10.1007/s00348-021-03326-0

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	A single-camera synthetic Schlieren method for the measurement of free liquid surfaces
	Li, Huixin 3; Avila, Marc 3; Xu, Duo 1,2,3
刊名	EXPERIMENTS IN FLUIDS
	2021-11-01
卷号	62 期号:11 页码:15
ISSN号	0723-4864
DOI	10.1007/s00348-021-03326-0
通讯作者	Xu, Duo(duo.xu@imech.ac.cn)
英文摘要	A single-camera synthetic Schlieren method is introduced to measure the height of a dynamic free liquid surface in a container with a flat bottom. Markers placed on the bottom, seen through the free surface, are virtually displaced due to light refraction at the surface. According to Snell's law, the marker displacements depend on the refractive indices of the transparent liquid and the air, and on the surface height and its spatial gradients. We solve the resulting governing nonlinear equation with the Newton-Raphson method to obtain the surface height. Our method does not require a reference surface height, which allows the measurement of surfaces topography in situations where the liquid depth is unknown. We demonstrate the accuracy of the method by performing experiments of surface ripples and dam-break flows and discuss the measurement uncertainty, errors and limitations.
资助项目	China Scholarship Council[201804910530] ; Deutsche Forschungsgemeinschaft (DFG, German Science Foundation)[INST 144/464]
WOS关键词	WAVES ; IMAGE
WOS研究方向	Engineering ; Mechanics
语种	英语
WOS记录号	WOS:000707032100001
资助机构	China Scholarship Council ; Deutsche Forschungsgemeinschaft (DFG, German Science Foundation)
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/87587]
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.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China 3.Univ Bremen, Ctr Appl Space Technol & Micrograv ZARM, D-28359 Bremen, Germany
推荐引用方式 GB/T 7714	Li, Huixin,Avila, Marc,Xu, Duo. A single-camera synthetic Schlieren method for the measurement of free liquid surfaces[J]. EXPERIMENTS IN FLUIDS,2021,62(11):15.
APA	Li, Huixin,Avila, Marc,&Xu, Duo.(2021).A single-camera synthetic Schlieren method for the measurement of free liquid surfaces.EXPERIMENTS IN FLUIDS,62(11),15.
MLA	Li, Huixin,et al."A single-camera synthetic Schlieren method for the measurement of free liquid surfaces".EXPERIMENTS IN FLUIDS 62.11(2021):15.