{"title":"Double refractive particle tracking and sizing","authors":"Jörg König, Christian Cierpka","doi":"10.1007/s00348-024-03894-x","DOIUrl":null,"url":null,"abstract":"<div><p>We present a novel bifocal imaging method enabling three-dimensional particle tracking and size determination employing a single camera only. The method is based on double refraction causing a particle to be imaged twice, each particle image of different blur. From these double images, a linear calibration function can be derived allowing to determine the three-dimensional particle position unambiguously over the entire depth of measurement volume. As this calibration function is independent of the particle size used, the particle size can be determined simultaneously by relating size of the double images and depth position of the particle. To prove the applicability, a co-laminar flow of two particle suspensions with particles of 1.14 <span>\\(\\upmu\\)</span>m and 2.47 <span>\\(\\upmu\\)</span>m in diameter was measured in a Y-shaped microchannel. While the laminar flow field was measured with very low uncertainty and independent of the particle size, the particle size distributions determined reproduced reliably the size distributions expected for the co-laminar flow applied, with a precision of about 98.6 <span>\\(\\%\\)</span> regarding the particle size discrimination. The progress for research is a new method readily to implement in common optical setups, promising, for example, valuable insights in polydisperse suspension flows—the vast majority of flows in fundamental research and applications.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":554,"journal":{"name":"Experiments in Fluids","volume":"65 11","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00348-024-03894-x.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Experiments in Fluids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00348-024-03894-x","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We present a novel bifocal imaging method enabling three-dimensional particle tracking and size determination employing a single camera only. The method is based on double refraction causing a particle to be imaged twice, each particle image of different blur. From these double images, a linear calibration function can be derived allowing to determine the three-dimensional particle position unambiguously over the entire depth of measurement volume. As this calibration function is independent of the particle size used, the particle size can be determined simultaneously by relating size of the double images and depth position of the particle. To prove the applicability, a co-laminar flow of two particle suspensions with particles of 1.14 \(\upmu\)m and 2.47 \(\upmu\)m in diameter was measured in a Y-shaped microchannel. While the laminar flow field was measured with very low uncertainty and independent of the particle size, the particle size distributions determined reproduced reliably the size distributions expected for the co-laminar flow applied, with a precision of about 98.6 \(\%\) regarding the particle size discrimination. The progress for research is a new method readily to implement in common optical setups, promising, for example, valuable insights in polydisperse suspension flows—the vast majority of flows in fundamental research and applications.
我们提出了一种新颖的双焦成像方法,只需一台照相机就能实现三维粒子跟踪和粒度测定。该方法基于双折射原理,使粒子成像两次,每次粒子成像的模糊程度不同。从这些双重图像中可以推导出一个线性校准函数,从而可以在整个测量深度范围内准确无误地确定粒子的三维位置。由于该校准函数与所使用的颗粒大小无关,因此可以通过双图像的大小和颗粒的深度位置同时确定颗粒的大小。为了证明其适用性,我们在 Y 形微通道中测量了直径分别为 1.14 和 2.47 m 的两种颗粒悬浮液的共层流。虽然层流流场的测量不确定性很低,而且与颗粒大小无关,但所确定的颗粒大小分布可靠地再现了所应用的共层流的预期大小分布,颗粒大小分辨的精确度约为98.6(\%\)。这种新方法易于在普通光学装置中实施,有望在多分散悬浮流动--基础研究和应用中的绝大多数流动--等方面提供有价值的见解。
期刊介绍:
Experiments in Fluids examines the advancement, extension, and improvement of new techniques of flow measurement. The journal also publishes contributions that employ existing experimental techniques to gain an understanding of the underlying flow physics in the areas of turbulence, aerodynamics, hydrodynamics, convective heat transfer, combustion, turbomachinery, multi-phase flows, and chemical, biological and geological flows. In addition, readers will find papers that report on investigations combining experimental and analytical/numerical approaches.