Forces Acting on Submillimeter Spheres at the Air-Water Interface
The forces acting on submillimeter spheres at the air-water interface are investigated theoretically and experimentally. To calculate the capillary force acting on the sphere, an iterative method is used to determine the immersing position of the liquid interface on the sphere for a given distance....
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Published in | Chinese physics letters Vol. 32; no. 11; pp. 97 - 100 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
01.11.2015
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Subjects | |
Online Access | Get full text |
ISSN | 0256-307X 1741-3540 |
DOI | 10.1088/0256-307X/32/11/116801 |
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Abstract | The forces acting on submillimeter spheres at the air-water interface are investigated theoretically and experimentally. To calculate the capillary force acting on the sphere, an iterative method is used to determine the immersing position of the liquid interface on the sphere for a given distance. Then the total forces acting on the sphere are considered. The scaling effects of the net force acting on the sphere at the air-water interface are demonstrated. For the experiments, the force-position relationship of microspheres is measured with a precise electronic balance. The results show that the evaporation of the liquid in the container affects the measuring results greatly under ambient conditions. After considering the evaporation compensation, there is a great agree- ment between the theoretical and experimental results. Obvious hysteresis phenomena of the force-distance curve during the emersion processes are also observed and explained. |
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AbstractList | The forces acting on submillimeter spheres at the air-water interface are investigated theoretically and experimentally. To calculate the capillary force acting on the sphere, an iterative method is used to determine the immersing position of the liquid interface on the sphere for a given distance. Then the total forces acting on the sphere are considered. The scaling effects of the net force acting on the sphere at the air-water interface are demonstrated. For the experiments, the force-position relationship of microspheres is measured with a precise electronic balance. The results show that the evaporation of the liquid in the container affects the measuring results greatly under ambient conditions. After considering the evaporation compensation, there is a great agree- ment between the theoretical and experimental results. Obvious hysteresis phenomena of the force-distance curve during the emersion processes are also observed and explained. The forces acting on submillimeter spheres at the air-water interface are investigated theoretically and experimentally. To calculate the capillary force acting on the sphere, an iterative method is used to determine the immersing position of the liquid interface on the sphere for a given distance. Then the total forces acting on the sphere are considered. The scaling effects of the net force acting on the sphere at the air-water interface are demonstrated. For the experiments, the force-position relationship of microspheres is measured with a precise electronic balance. The results show that the evaporation of the liquid in the container affects the measuring results greatly under ambient conditions. After considering the evaporation compensation, there is a great agreement between the theoretical and experimental results. Obvious hysteresis phenomena of the force-distance curve during the emersion processes are also observed and explained. |
Author | 王乐锋 刘路 徐慧超 荣伟彬 孙立宁 |
AuthorAffiliation | State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin 150080 |
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CitedBy_id | crossref_primary_10_7498_aps_66_046801 |
Cites_doi | 10.1109/TDMR.2012.2191291 10.1109/TRO.2007.895075 10.1103/PhysRevB.66.155436 10.1016/j.jcis.2006.09.017 10.1021/la4017504 10.1088/0960-1317/18/1/015022 10.1021/la0107796 10.1163/15685610360554393 10.1029/2008WR007384 10.1039/c3nr06416f 10.1073/pnas.1222196110 10.1006/jcis.1997.5014 10.1006/jcis.1996.0330 10.1098/rsta.2007.2172 10.1088/0256-307X/21/4/007 10.1088/0960-1317/16/7/012 10.1007/s12206-012-1002-6 10.1021/es2038933 |
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Notes | The forces acting on submillimeter spheres at the air-water interface are investigated theoretically and experimentally. To calculate the capillary force acting on the sphere, an iterative method is used to determine the immersing position of the liquid interface on the sphere for a given distance. Then the total forces acting on the sphere are considered. The scaling effects of the net force acting on the sphere at the air-water interface are demonstrated. For the experiments, the force-position relationship of microspheres is measured with a precise electronic balance. The results show that the evaporation of the liquid in the container affects the measuring results greatly under ambient conditions. After considering the evaporation compensation, there is a great agree- ment between the theoretical and experimental results. Obvious hysteresis phenomena of the force-distance curve during the emersion processes are also observed and explained. WANG Le-Feng, LIU Lu,XU Hui-Chao, RONG Wei-Bin, SUN Li-Ning( State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin 150080) 11-1959/O4 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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References | 11 12 Zheng W (13) 2004; 21 14 15 Mastrangeli M (1) 2009; 19 16 17 18 19 Morris C J (2) 2008; 18 Liu S (8) 2014; 31 3 4 6 7 Hariri A (5) 2006; 16 9 20 10 |
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SubjectTerms | Capillarity Electronics Evaporation Hysteresis Iterative methods Liquids Mathematical analysis Microspheres 亚毫米波 位置关系 作用力 尺度效应 毛细管力 电子天平 空气-水界面 迟滞现象 |
Title | Forces Acting on Submillimeter Spheres at the Air-Water Interface |
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