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Azimi Yancheshme A, Palmese GR, Alvarez NJ. A generalized scaling theory for spontaneous spreading of Newtonian fluids on solid substrates. J Colloid Interface Sci 2023; 636:677-688. [PMID: 36680958 DOI: 10.1016/j.jcis.2023.01.025] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/25/2022] [Revised: 01/03/2023] [Accepted: 01/05/2023] [Indexed: 01/09/2023]
Abstract
HYPOTHESIS There exists a generalized solution for the spontaneous spreading dynamics of droplets taking into account the influence of interfacial tension and gravity. EXPERIMENTS This work presents a generalized scaling theory for the problem of spontaneous dynamic spreading of Newtonian fluids on a flat substrate using experimental analysis and numerical simulations. More specifically, we first validate and modify a dynamic contact angle model to accurately describe the dependency of contact angle on the contact line velocity, which is generalized by the capillary number. The dynamic contact model is implemented into a two-phase moving mesh computational fluid dynamics (CFD) model, which is validated using experimental results. FINDINGS We show that the spreading process is governed by three important parameters: the Bo number, viscous timescale τviscous, and static advancing contact angle, θs. More specifically, there exists a master spreading curve for a specific Bo and θs by scaling the spreading time with the τviscous. Moreover, we developed a correlation for prediction of the equilibrium shape of the droplets as a function of both Bo and θs. The results of this study can be used in a wide range of applications to predict both dynamic and equilibrium shape of droplets, such as in droplet-based additive manufacturing.
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Affiliation(s)
| | - Giuseppe R Palmese
- Chemical and Biological Engineering, Drexel University, Philadelphia, PA 19104, USA
| | - Nicolas J Alvarez
- Chemical and Biological Engineering, Drexel University, Philadelphia, PA 19104, USA
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Dai B, Jiao Z, Zheng L, Bachman H, Fu Y, Wan X, Zhang Y, Huang Y, Han X, Zhao C, Huang TJ, Zhuang S, Zhang D. Colour compound lenses for a portable fluorescence microscope. Light Sci Appl 2019; 8:75. [PMID: 31645921 PMCID: PMC6804733 DOI: 10.1038/s41377-019-0187-1] [Citation(s) in RCA: 38] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/04/2019] [Revised: 07/11/2019] [Accepted: 07/31/2019] [Indexed: 05/25/2023]
Abstract
In this article, we demonstrated a handheld smartphone fluorescence microscope (HSFM) that integrates dual-functional polymer lenses with a smartphone. The HSFM consists of a smartphone, a field-portable illumination source, and a dual-functional polymer lens that performs both optical imaging and filtering. Therefore, compared with the existing smartphone fluorescence microscope, the HSFM does not need any additional optical filters. Although fluorescence imaging has traditionally played an indispensable role in biomedical and clinical applications due to its high specificity and sensitivity for detecting cells, proteins, DNAs/RNAs, etc., the bulky elements of conventional fluorescence microscopes make them inconvenient for use in point-of-care diagnosis. The HSFM demonstrated in this article solves this problem by providing a multifunctional, miniature, small-form-factor fluorescence module. This multifunctional fluorescence module can be seamlessly attached to any smartphone camera for both bright-field and fluorescence imaging at cellular-scale resolutions without the use of additional bulky lenses/filters; in fact, the HSFM achieves magnification and light filtration using a single lens. Cell and tissue observation, cell counting, plasmid transfection evaluation, and superoxide production analysis were performed using this device. Notably, this lens system has the unique capability of functioning with numerous smartphones, irrespective of the smartphone model and the camera technology housed within each device. As such, this HSFM has the potential to pave the way for real-time point-of-care diagnosis and opens up countless possibilities for personalized medicine.
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Affiliation(s)
- Bo Dai
- Engineering Research Center of Optical Instrument and System, the Ministry of Education, Shanghai Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, 200093 Shanghai, China
| | - Ziao Jiao
- Engineering Research Center of Optical Instrument and System, the Ministry of Education, Shanghai Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, 200093 Shanghai, China
| | - Lulu Zheng
- Engineering Research Center of Optical Instrument and System, the Ministry of Education, Shanghai Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, 200093 Shanghai, China
| | - Hunter Bachman
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27709 USA
| | - Yongfeng Fu
- Department of Medical Microbiology and Parasitology, School of Basic Medical Sciences, Fudan University, 200032 Shanghai, China
| | - Xinjun Wan
- Engineering Research Center of Optical Instrument and System, the Ministry of Education, Shanghai Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, 200093 Shanghai, China
| | - Yule Zhang
- Engineering Research Center of Optical Instrument and System, the Ministry of Education, Shanghai Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, 200093 Shanghai, China
| | - Yu Huang
- Engineering Research Center of Optical Instrument and System, the Ministry of Education, Shanghai Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, 200093 Shanghai, China
| | - Xiaodian Han
- Department of Laboratory Medicine, Shanghai Cancer Center, Fudan University, 200032 Shanghai, China
| | - Chenglong Zhao
- Department of Physics, University of Dayton, Dayton, OH 45469 USA
- Department of Electro-Optics and Photonics, University of Dayton, Dayton, OH 45469 USA
| | - Tony Jun Huang
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27709 USA
| | - Songlin Zhuang
- Engineering Research Center of Optical Instrument and System, the Ministry of Education, Shanghai Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, 200093 Shanghai, China
| | - Dawei Zhang
- Engineering Research Center of Optical Instrument and System, the Ministry of Education, Shanghai Key Laboratory of Modern Optical System, University of Shanghai for Science and Technology, 200093 Shanghai, China
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